The anomalous magnetic moment of the muon in the Standard Model

Abstract

We review the present status of the Standard Model calculation of the anomalous magnetic moment of the muon. This is performed in a perturbative expansion in the fine-structure constant $\alpha$ and is broken down into pure QED, electroweak, and hadronic contributions. The pure QED contribution is by far the largest and has been evaluated up to and including $\mathcal{O}({\alpha }^5)$ with negligible numerical uncertainty. The electroweak contribution is suppressed by $(m_{\mu }/M_W{)}^2$ and only shows up at the level of the seventh significant digit. It has been evaluated up to two loops and is known to better than one percent. Hadronic contributions are the most difficult to calculate and are responsible for almost all of the theoretical uncertainty. The leading hadronic contribution appears at $\mathcal{O}({\alpha }^2)$ and is due to hadronic vacuum polarization, whereas at $\mathcal{O}({\alpha }^3)$ the hadronic light-by-light scattering contribution appears. Given the low characteristic scale of this observable, these contributions have to be calculated with nonperturbative methods, in particular, dispersion relations and the lattice approach to QCD. The largest part of this review is dedicated to a detailed account of recent efforts to improve the calculation of these two contributions with either a data-driven, dispersive approach, or a first-principle, lattice-QCD approach. The final result reads $a_{\mu }^{\text{SM}}=116591810(43)\times 10^{-11}$ and is smaller than the Brookhaven measurement by 3.7$\sigma$. The experimental uncertainty will soon be reduced by up to a factor four by the new experiment currently running at Fermilab, and also by the future J-PARC experiment. This and the prospects to further reduce the theoretical uncertainty in the near future-which are also discussed here-make this quantity one of the most promising places to look for evidence of new physics.

196 pages, 103 figures, version published in Phys. Rept., bib files for the citation references are available from: https://muon-gm2-theory.illinois.edu

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• New physics behind the new muon $g$-2 puzzle?
• Di-Higgs and tri-Higgs boson signals of muon $g-2$ at a muon collider
• Probing heavy charged fermions at $e^{+}{e}^{-}$ collider using the Optimal Observable Technique
• Studying the $b\to s{\ell }^{+}{\ell }^{-}$ anomalies and $(g-2{)}_{\mu }$ in $R$-parity violating MSSM framework with the inverse seesaw mechanism
• Dark photon and dark $Z$ mediated $B$ meson decays
• On $(g-2{)}_{\mu }$ From Gauged $\mathrm{U}(1{)}_X$
• Dark matter detectors as a novel probe for light new physics
• Muon $g-2$ in Gauge Mediation without SUSY CP Problem
• Constraining Light Thermal Inelastic Dark Matter with NA64
• Revisiting Generalized Two Higgs Doublet Model in the Light of Muon Anomaly and Lepton Flavor Violating Decays at HL-LHC
• Radiative corrections to semileptonic beta decays: Progress and challenges
• Supersymmetric gauged U(1)${}_{L_{\mu }-L_{\tau }}$ model for electron and muon $(g-2)$ anomaly
• Phenomenology of Scalar Leptoquarks at the LHC in Explaining the Radiative Neutrino Mass, Muon $g-2$ and Lepton Flavour Violating Observables
• Two-loop Prediction of the Anomalous Magnetic Moment of the Muon in the Two-Higgs Doublet Model with GM2Calc 2
• What is the scale of new physics behind the muon $g-2$?
• Non-Abelian Vector Dark Matter and Lepton $g-2$
• Dispersion relations for the hadronic VVA correlator
• Flipped SU(5) GUT Phenomenology: Proton Decay and $g_{\mu }-2$
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• Holographic QCD and the muon anomalous magnetic moment
• A global analysis of $b\to s\ell \ell$ data in heavy and light $Z^{\prime }$ models
• A bridge to new physics: proposing new -- and reviving old -- explanations of $a_{\mu }$
• $U(1{)}_{L_{\mu }-L_{\tau }}$ for Light Dark Matter, $g_{\mu }-2$, the $511$ keV excess and the Hubble Tension
• Muon and Electron $(g-2)$ Anomalies with Non-Holomorphic Interactions in MSSM
• Neutrino Masses, Leptonic Flavor Mixing and Muon $(g-2)$ in the Seesaw Model with the $U(1{)}_{L_{\mu }^{}-L_{\tau }^{}}^{}$ Gauge Symmetry
• Supernova Limits on Muonic Dark Forces
• Determination of crossing-symmetric $\pi \pi$ scattering amplitudes and the quark mass evolution of the $\sigma$ constrained by lattice QCD
• A 2HDM for the g-2 and Dark Matter
• Semi-secretly interacting ALP as an explanation of Fermilab muon $g-2$ measurement
• Neutrino masses and magnetic moments of electron and muon in the Zee Model
• Bottomonium precision tests from full lattice QCD: hyperfine splitting, ${\rm Y}$ leptonic width and $b$ quark contribution to $e^{+}{e}^{-}\to$ hadrons
• Systematic approach to $B$-physics anomalies and $t$-channel dark matter
• Correlating Non-Resonant Di-Electron Searches at the LHC to the Cabibbo-Angle Anomaly and Lepton Flavour Universality Violation
• Leptophilic bosons and muon g-2 at lepton colliders
• Muon $g-2$ in a two-Higgs-doublet model with a type-II seesaw mechanism
• The cost of an ALP solution to the neutral $B$-anomalies
• A Custodial Symmetry for Muon g-2
• Muon g-2 and a type-X two Higgs doublet scenario: some studies in high-scale validity
• General Kinetic Mixing in Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Model for Muon $g-2$ and Dark Matter
• Pion to photon transition form factors with basis light-front quantization
• Search for a light muon-philic $Z^{\prime }$ with the NA64-$e$ experiment at CERN
• Chasing the two-Higgs doublet model in the di-Higgs production
• Lepton-Flavoured Scalar Dark Matter in Dark Minimal Flavour Violation
• Status of the singlino-dominated dark matter in general Next-to-Minimal Supersymmetric Standard Model
• Width effects of broad new resonances in loop observables and application to $(g-2{)}_{\mu }$
• Impact of recent $(g-2{)}_{\mu }$ measurement on the light CP-even Higgs scenario in general Next-to-Minimal Supersymmetric Standard Model
• New physics searches at the ILC positron and electron beam dumps
• Testing axion couplings to leptons in $Z$ decays at future $e^{+}{e}^{-}$ colliders
• Lepton-Flavor-Violating ALP Signals with TeV-Scale Muon Beams
• Violations of Quark-Hadron Duality in Low-Energy Determinations of ${\alpha }_s$
• Model Independent Tests of the Hadronic Vacuum Polarization Contribution to the Muon $g$$-$$2$
• Combined explanations of $B$-physics anomalies, $(g-2{)}_{e,\mu }$ and neutrino masses by scalar leptoquarks
• Scalar leptoquark pair production at the LHC: precision predictions in the era of flavour anomalies
• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
• The CMSSM Survives Planck, the LHC, LUX-ZEPLIN, Fermi-LAT, H.E.S.S. and IceCube
• Updated global fit of the aligned two-Higgs-doublet model with heavy scalars
• Towards excluding a light $Z^{\prime }$ explanation of $b\to s{\ell }^{+}{\ell }^{-}$
• Universal Inverse seesaw mechanism as a source of the SM fermion mass hierarchy
• Probing light mediators at the MUonE experiment
• New physics interpretation of $W$-boson mass anomaly
• Widening the $U(1{)}_{L_{\mu }-L_{\tau }}$ $Z^{\prime }$ mass range for resolving the muon $g-2$ anomaly
• On a novel evalutation of the hadronic contribution to the muon's $g-2$ from QCD
• Electroweak Phase Transition in a Right-Handed Neutrino Superfield Extended NMSSM
• Gauge-invariant Renormalization Scheme in QCD: Application to fermion bilinears and the energy-momentum tensor
• Supersymmetric explanation of the muon g-2 anomaly with and without stable neutralino
• Magnetic Moments of Leptons, Charged Lepton Flavor Violations and Dark Matter Phenomenology of a Minimal Radiative Dirac Neutrino Mass Model
• Borel-Laplace Sum Rules with $\tau$ decay data, using OPE with improved anomalous dimensions
• Neutrino mass models at $\mu$TRISTAN
• Seesaw lepton masses and muon $g-2$ from heavy vector-like leptons
• Leptonic Scalars and Collider Signatures in a UV-complete Model
• Constraining Light Mediators via Detection of Coherent Elastic Solar Neutrino Nucleus Scattering
• Probing light vector mediators with coherent scattering at future facilities
• Large $(g-2{)}_{\mu }$ and signals of decays $e_b\to e_a\gamma$ in a 3-3-1 model with inverse seesaw neutrinos
• Effective comparison of neutrino-mass models
• Towards an independent determination of muon g-2 from muonium spectroscopy
• Strong-field vacuum polarisation with high energy lasers
• Searching for Flavor-Violating ALPs in Higgs Decays
• Phenomenology of CP-even ALP
• Radiative lepton mass and muon $g-2$ with suppressed lepton flavor and CP violations
• A fake doublet solution to the muon anomalous magnetic moment
• Probing the $L_{\mu }$-$L_{\tau }$ Gauge Boson at the MUonE Experiment
• Explaining Atomki anomaly and muon $g-2$ in $U(1{)}_X$ extended flavour violating two Higgs doublet model
• Displaced Searches for Light Vector Bosons at Belle II
• Theory introduction to baryon spectroscopy
• Constraining CP-phases in SUSY: an interplay of muon/electron $g-2$ and electron EDM
• Dark Matter and $(g-2{)}_{\mu ,e}$ in radiative Dirac neutrino mass models
• Flavour alignment of New Physics in light of the $(g-2{)}_{\mu }$ anomaly
• LHC tau-pair production constraints on $a_{\tau }$ and $d_{\tau }$
• Single ${\pi }^0$ production in $\mu e$ scattering at MUonE
• Mixed modulus and anomaly mediation in light of the muon $g-2$ anomaly
• The asymptotic approach to the continuum of lattice QCD spectral observables
• The Ellipse of Muon Dipole Moments
• Vacuum stability and scalar masses in the superweak extension of the standard model
• Light, Long-Lived $B-L$ Gauge and Higgs Bosons at the DUNE Near Detector
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Measurement of additional radiation in the initial-state-radiation processes $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}\gamma$ and $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ at BABAR
• $W$ mass in a model with vector-like leptons and $U(1{)}^{\prime }$
• The Singly-Charged Scalar Singlet as the Origin of Neutrino Masses
• Searching for $Z^{\prime }$ bosons at the P2 experiment
• Flipped $g_{\mu }-2$
• Dispersive analysis of the Primakoff reaction $\gamma K\to K\pi$
• Search for $Z^{{}^{\prime }}\to {\mu }^{+}{\mu }^{-}$ in the $L_{\mu }-L_{\tau }$ gauge-symmetric model at Belle
• Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$
• Dark Photons and Displaced Vertices at the MUonE Experiment
• Data-based determination of the isospin-limit light-quark-connected contribution to the anomalous magnetic moment of the muon
• Scotogenic Dirac neutrino mass models embedded with leptoquarks: one pathway to address the flavor anomalies and the neutrino masses together
• The CDF W-mass, muon g-2, and dark matter in a $U(1{)}_{L_{\mu }-L_{\tau }}$ model with vector-like leptons
• The $\eta \to {\gamma }^{\ast }{\gamma }^{\ast }$ transition form factor and the hadronic light-by-light $\eta$-pole contribution to the muon $g-2$ from lattice QCD
• Leptonic scalar portal: Origin of muon $g-2$ anomaly and dark matter?
• The muon g-2 anomaly confronts new physics in $e^{\pm }$ and ${\mu }^{\pm }$ final states scattering
• New Searches for Muonphilic Particles at Proton Beam Dump Spectrometers
• High Precision Calculations of the Higgs Boson Mass
• Instantons or Renormalons? A Comment on phi4_4 Theory in the MS Scheme
• Constraints on leptoquarks from lepton-flavour-violating tau-lepton processes
• Prospects for a flavour violating $Z^{\prime }$ explanation of $\Delta a_{\mu ,e}$
• Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel
• Observable flavor violation from spontaneous lepton number breaking
• Spectral-weight sum rules for the hadronic vacuum polarization
• Hadronic light-by-light scattering contributions to $(g-2{)}_{\mu }$ from axial-vector and tensor mesons in the holographic soft-wall model
• Light scalars within the $\mathcal{C}\mathcal{P}$-conserving Aligned-two-Higgs-doublet model
• Extending the application of the LCSR method to low momenta using QCD renormalization-group summation. Theory and phenomenology
• The $SU(2{)}_D$ lepton portals for muon $g-2$, $W$ boson mass and dark matter
• Explanation of electron and muon $g-2$ anomalies in AMSB
• Muon $g-2$ anomaly and non-locality
• Measurement of the $2S_{1/2},F$=$0\to 2P_{1/2},F$=$1$ transition in Muonium
• Marriage between neutrino mass and flavor anomalies
• Coordinate-space calculation of the window observable for the hadronic vacuum polarization contribution to $(g-2{)}_{\mu }$
• Confronting spin-3/2 and other new fermions with the muon g-2 measurement
• Scalar leptoquarks at the LHC and flavour anomalies: a comparison of pair-production modes at NLO-QCD
• MUonE, muon $g-2$ and electroweak precision constraints within 2HDMs
• The two-loop contributions to muon MDM in $U(1{)}_X$ SSM
• Neutrinoless Double Beta Decay via Light Neutralinos in R-Parity Violating Supersymmetry
• Lepton Phenomenology of Stueckelberg Portal to Dark Sector
• Muon anomalous magnetic dipole moment in the $\mu \nu$SSM
• Search for short- and long-lived axion-like particles in $H\to aa\to 4\gamma$ decays with the ATLAS experiment at the LHC
• A ChPT estimate of the strong-isospin-breaking contribution to the anomalous magnetic moment of the muon
• Pion Transition Form Factor from Twisted-Mass Lattice QCD and the Hadronic Light-by-Light ${\pi }^0$-pole Contribution to the Muon $g-2$
• Explaining The Muon $g-2$ Anomaly and New CDF II W-Boson Mass in the Framework of (Extra)Ordinary Gauge Mediation
• Charged Lepton EDM with Extra Yukawa Couplings
• Muon Anomalous Magnetic Moment and Higgs Potential Stability in the 331 Model from $SU(6)$
• Constraining Lepton Flavor Violating Higgs Couplings at the HL-LHC in the Vector Boson Fusion Channel
• Flavor Physics at the CEPC: a General Perspective
• Collider Prospects for Muon $g-2$ in General Two Higgs Doublet Model
• Hybrid calculation of hadronic vacuum polarization in muon g-2 to 0.48\%
• New Physics Search at the CEPC: a General Perspective
• Shedding Flavor on Dark via Freeze-in: $U(1{)}_{B-3L_i}$ Gauged Extensions
• Bounds on Gauge Bosons Coupled to Non-conserved Currents
• Addendum to: Combined Constraints on First Generation Leptoquarks
• An explanation of experimental data of $(g-2{)}_{e,\mu }$ in 3-3-1 models with inverse seesaw neutrinos
• Muon $g-2$ and non-thermal leptogenesis in $U(1{)}_{L_{\mu }-L_{\tau }}$ model
• Improved indirect limits on charm and bottom quark EDMs
• Timelike and spacelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Fermion masses and mixings and $g-2$ muon anomaly in a 3-3-1 model with $D_4$ family symmetry
• Isospin breaking corrections in $2\pi$ production in tau decays and $e^{+}{e}^{-}$ annihilation: consequences for the muon $g-2$ and CVC tests
• Testing freeze-in with axial and vector $Z^{\prime }$ bosons
• Improved evaluation of the electroweak contribution to muon $g-2$
• Lattice-motivated QCD coupling and hadronic contribution to muon $g-2$
• Radiative Meson and Glueball Decays in the Witten-Sakai-Sugimoto Model
• Minimal model for the $W$-boson mass, $(g-2{)}_{\mu }$, $h\to {\mu }^{+}{\mu }^{-}$ and quark-mixing-matrix unitarity
• Probing New Physics in the Vector-like Lepton Model by Lepton Electric Dipole Moments
• Renormalization group summation and analytic continuation from spacelike to timeline regions
• Leptoquarks and Real Singlets: A Richer Scalar Sector Behind the Origin of Dark Matter
• Next-to-Leading-Order QCD Matching for $\Delta F=2$ Processes in Scalar Leptoquark Models
• Two body final states production in electron-positron annihilation and their contributions to $(g-2{)}_{\mu }$
• Reevaluation of heavy-fermion-induced electron EDM at three loops
• Explaining anomalies of $B$-physics, muon $g-2$ and $W$ mass in $R$-parity violating MSSM with seesaw mechanism
• Opening the Higgs Portal to Lepton-Flavoured Dark Matter
• Current status on pair-produced muon-philic vectorlike leptons in multilepton channels at the LHC
• Status of R-parity violating SUSY
• Probing Dark Sectors with Neutron Stars
• Sensitivity potential to a light flavor-changing scalar boson with DUNE and NA64$\mu$
• The time-like electromagnetic kaon form factor
• Portal Matter, Kinetic Mixing, and Muon $g-2$
• Muon g-2 and a Geocentric New Field
• On the viability of a light scalar spectrum for 3-3-1 models
• Michel parameters in the presence of massive Dirac and Majorana neutrinos
• Constraints on Light Leptophilic Dark Matter Mediators from Decay Experiments
• The new $(g-2{)}_{\mu }$ and Right-Handed Sneutrino Dark Matter
• Generic One-Loop Matching Conditions for Rare Meson Decays
• Naturalness of lepton non-universality and muon g-2
• Light vector dark matter with scalar mediator and muon g-2 anomaly
• Inertial and gravitational effects on a geonium atom
• Multi-level Monte Carlo computation of the hadronic vacuum polarization contribution to $(g_{\mu }-2)$
• New perspective in searching for axion-like particles from flavor physics
• A 17 MeV pseudoscalar and the LSND, MiniBooNE and ATOMKI anomalies
• General Remarks on the One-loop Contributions to the Muon Anomalous Magnetic Moment
• Predictions for Muon Electric and Magnetic Dipole Moments from $h\to {\mu }^{+}{\mu }^{-}$ in Two-Higgs-Doublet Models with New Leptons
• Search for a ${\tau }^{+}{\tau }^{-}$ resonance in $e^{+}{e}^{-}\to {\mu }^{+}{\mu }^{-}{\tau }^{+}{\tau }^{-}$ events with the Belle II experiment
• Search for a ${\mu }^{+}{\mu }^{-}$ resonance in four-muon final states at Belle II
• Neutrinoless Double Beta Decay from Scalar Leptoquarks: Interplay with Neutrino Mass and Flavor Physics
• A Simple Model of Dark Matter and CP Violation
• Lepton pair production in muon-nucleus scattering
• One-loop expressions for $h\to l\bar{l}\gamma$ in Higgs extensions of the Standard Model
• The ALP explanation to muon $(g-2)$ and its test at future Tera-$Z$ and Higgs factories
• Dimuon and ditau production in photon-photon collisions at next-to-leading order in QED
• Probing hidden spin-2 mediator of dark matter with NA64e, LDMX, NA64$\mu$ and M${}^3$
• Neutrino Non-standard Interactions with arbitrary couplings to u and d quarks
• The Low-Scale Seesaw Solution to the $M_W$ and $(g-2{)}_{\mu }$ Anomalies
• Signals of a New Gauge Boson from IceCube and Muon $g-2$
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• $(g-2{)}_{e,\mu }$ and strongly interacting dark matter with collider implications
• The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model
• Improved Standard-Model prediction for $K_L\to {\ell }^{+}{\ell }^{-}$
• A smuon in the NMSSM confronted with the muon g-2 and SUSY searches
• Collider Signatures of a Scalar Leptoquark and Vector-like Lepton in Light of Muon Anomaly
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Muon g-2, Dark Matter and the Higgs mass in No-Scale Supergravity
• Two-current transition amplitudes with two-body final states
• Soft gluon fields and anomalous magnetic moment of muon
• Axial-vector exchange contribution to the Hyperfine Splitting
• Light and strange vector resonances from lattice QCD at physical quark masses
• Muon $(g-2)$ and Flavor Puzzles in the $U(1{)}_X^{}$-gauged Leptoquark Model
• Effective Field Theory of Chirally-Enhanced Muon Mass and Dipole Operators
• Tension between $e^{+}{e}^{-}\to \eta {\pi }^{-}{\pi }^{+}$ and ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ data and non-standard interactions
• High-energy frontier of the muon g-2 at a muon collider
• Current Status of the Muon g-2 Interpretations within Two-Higgs-Doublet Models
• Kinematical distributions of coherent neutrino trident production in gauged $L_{\mu }-L_{\tau }$ model
• Investigation of $(g-2{)}_{\mu }$ anomaly in the $\mu$-specific 2HDM with Vector like leptons and the phenomenological implications
• LSND and MiniBooNE as guideposts to understanding the muon $g-2$ results and the CDF II $W$ mass measurement
• Gauged Lepton Number, Dirac Neutrinos, Dark Matter, and Muon $g-2$
• Interference Resurrection of the $\tau$ Dipole through Quantum Tomography
• Light higgsino scenario confronted with muon g-2
• Flavor-Violating ALPs, Electron g-2, and the Electron-Ion Collider
• Global analysis and LHC study of a vector-like extension of the Standard Model with extra scalars
• Higgs-mass constraints on a supersymmetric solution of the muon g-2 anomaly
• Leptonic CP violation from a vector-like lepton
• Leptophilic U(1) Massive Vector Bosons from Large Extra Dimensions
• Non-adiabatic evolution of dark sector in the presence of $U(1{)}_{L_{\mu }-L_{\tau }}$ gauge symmetry
• Searching for gluon quartic gauge couplings at muon colliders using the auto-encoder
• Long-lived Searches of Vector-like Lepton and Its Accompanying Scalar at Colliders
• Anomalous and axial Z' contributions to g-2
• Dark SU(2) Stueckelberg portal
• Lepton-pair production in di-pion $\tau$ lepton decays
• Zee-model predictions for lepton flavor violation
• Flavor changing top decays to charm and Higgs with $\tau \tau$ at the LHC
• A Large Muon EDM from Dark Matter
• Flavor physics in SU(5) GUT with scalar fields in the 45 representation
• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$
• A radiatively induced inverse seesaw model with hidden $U(1)$ gauge symmetry
• Cabibbo-Kobayashi-Maskawa unitarity deficit reduction via finite nuclear size
• Fermion mass hierarchy and g-2 anomalies in an extended 3HDM Model
• Importance of vector leptoquark-scalar box diagrams in Pati-Salam unification with vector-like families
• Models with two Higgs doublets and a light pseudoscalar:a portal to dark matter and the possible $(\mathbf{g}-2{)}_{\mu }$ excess
• Leptoquark and vector-like quark extended models as the explanation of the muon $g-2$ anomaly
• Notes on QED Corrections in Weak Decays
• Pion pair production in $e^{+}{e}^{-}$ annihilation at next-to-leading order matched to Parton Shower
• Non-minimal Lorentz invariance violation in light of muon anomalous magnetic moment and long-baseline neutrino oscillation data
• Production of axial-vector mesons at $e^{+}{e}^{-}$ collisions with double-tagging as a way to constrain the axial meson LbL contribution to muon g-2 and/or hyperfine splitting of muonic hydrogen
• Hints of a new leptophilic Higgs sector?
• Heavy singly charged Higgs bosons and inverse seesaw neutrinos as origins of large $(g-2{)}_{e,\mu }$ in two higgs doublet models
• Towards a Real-Time Computation of Timelike Hadronic Vacuum Polarization and Light-by-Light Scattering: Schwinger Model Tests
• Experimental constraints on the neutrino and gauge parameters of the super-weak U(1) extension of the standard model
• Implications of light $Z^{\prime }$ on semileptonic $B(B_s)\to T\{K_2^{\ast }(1430)$ $(f_2^{\prime }(1525))\}{\ell }^{+}{\ell }^{-}$ decays at large recoil
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ cross section in the energy range 0.62-3.50 GeV at Belle II
• Out-of-equilibrium Chiral Magnetic Effect from simulations on Euclidean lattices
• Implications of the Muon g-2 result on the flavour structure of the lepton mass matrix
• Inflation and long-range force from clockwork $D$-term
• Connecting $(g-2{)}_{\mu }$ to neutrino mass in the extended neutrinophilic 2HDM
• Flavor-changing light bosons with accidental longevity
• Neutrino masses, flavor anomalies and muon $\mathbf{g}-2$ from dark loops
• Using improved Operator Product Expansion in Borel-Laplace Sum Rules with ALEPH $\tau$ decay data, and determination of pQCD coupling
• Scalar dark matter and Muon $g-2$ in a $U(1{)}_{L_{\mu }-L_{\tau }}$ model
• Renormalization of Very Special Relativity gauge theories
• Numerical Simulations of the Nonlinear Quantum Vacuum in the Heisenberg-Euler Weak-Field Expansion
• Novel imprint of a vector doublet
• Searches for rare $B_s^0$ and $B^0$ decays into four muons
• Uncertainty quantification for $\mu \to e$ conversion in nuclei: charge distributions
• Lepton flavor violations in SUSY models for muon $g-2$ with right-handed neutrinos
• ${\pi }^0,\eta ,{\eta }^{\prime }$ two-photon transition form factors in the holographic soft-wall model and contributions to $(g-2{)}_{\mu }$
• The Elusive Muonic WIMP
• High-Accuracy Absolute Magnetometry with Application to the Fermilab Muon $g-2$ Experiment
• Two-photon exchange in (muonic) deuterium at N3LO in pionless effective field theory
• Timelike form factor for the anomalous process ${\gamma }^{\ast }\pi \to \pi \pi$
• Towards a discovery of BSM physics from the Cabibbo angle anomaly
• Flavor Physics Constraints on Left-Right Symmetric Models with Universal Seesaw
• Dark leptophilic scalar with the updated muon $g-2$ anomaly
• First muon acceleration and muon linear accelerator for measuring the muon anomalous magnetic moment and electric dipole moment
• Muon $g-2$ discrepancy within D-brane string compactifications
• Minimal embedding of the Standard Model into intersecting D-brane configurations with a bulk leptonic $U(1)$
• Minimal Zee model for lepton $g-2$ and $W$-mass shifts
• Impact of electroweak group representation in models for $B$ and $g-2$ anomalies from Dark Loops
• Effect of Systematic Uncertainty Estimation on the Muon $g-2$ Anomaly
• Superfactory of bottomed hadrons Belle II
• Muon $g-2$ Anomaly and Neutrino Magnetic Moments
• Radially excited pion: electromagnetic form factor and the box contribution to the muon's $g-2$
• Observation of the double Dalitz decay ${\eta }^{\prime }\to e^{+}{e}^{-}{e}^{+}{e}^{-}$
• Sleptonic SUSY: From UV Framework to IR Phenomenology
• Muon $g-2$ and semileptonic $B$ decays in Bélanger-Delaunay-Westhoff model with gauge kinetic mixing
• Decadal Mission for the New Physics Higgs/Flavor Era
• Gauging lepton flavor SU(3) for the muon $g-2$
• Vector leptoquark contributions to lepton dipole moments
• Phenomenology of 3-3-1 models with radiative inverse seesaw mechanism
• Hadronic Vacuum Polarization and the MUonE proposal
• Constraints for scalars and pseudoscalars from ${\left(g-2\right)}_l$ and existing $e^{+}{e}^{-}$ colliders
• Interplay between the muon $g-2$ anomaly and the PTA nHZ gravitational waves from domain walls in next-to minimal supersymmetric standard model
• Muon ($g-2$) in $U(1{)}_{L_{\mu }-L_{\tau }}$ Scotogenic Model Extended with Vector like Fermion
• Probing the muon (g-2) anomaly at the LHC in final states with two muons and two taus
• Baryon Number Violation: From Nuclear Matrix Elements to BSM Physics
• A theory vade mecum for PSI experiments
• Exclusive photon-fusion production of even-spin resonances and exotic QED atoms in high-energy hadron collisions
• Strategy to measure tau $g-2$ via photon fusion in LHC proton collisions
• A compact frozen-spin trap for the search for the electric dipole moment of the muon
• Phenomenological and cosmological implications of a scotogenic three-loop neutrino mass model
• Improved measurement of the decays ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}{\pi }^{+(0)}{\pi }^{-(0)}$ and search for the rare decay ${\eta }^{\prime }\to 4{\pi }^0$
• Measurement of the cross sections for $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ at center-of-mass energies between 2.00 and 3.08 GeV
• Light Dilaton in Rare Meson Decays and Extraction of its CP Property
• Hadronic Light by Light Corrections to the Muon Anomalous Magnetic Moment
• Searching for the light leptophilic gauge boson $Z_x$ via four-lepton final states at the CEPC
• Mono-$\gamma$ Production of a Vector Dark Matter at Future $e^{+}{e}^{-}$ Collider
• The LHC as a TeV Muon Beam Dump: Muonphilic Scalars at FASER
• Anomalous gauge couplings vis-$\grave{a}$-vis $(g-2{)}_{\mu }$ and flavor observables
• Solar neutrinos and leptonic spin forces
• The Revival of $U(1{)}_{L_e-L_{\mu }}$: A Natural Solution for $(g-2{)}_{\mu }$ with a Sub-GeV Dark Matter
• Revisiting the Scalar Leptoquark ($S_1$) Model with the Updated Leptonic Constraints
• Flatland: abelian extensions of the Standard Model with semi-simple completions
• Hadronic vacuum polarization contribution to the muon $g-2$ in holographic QCD
• Improved description of di-lepton production in ${\tau }^{-}\to {\nu }_{\tau }{P}^{-}$ decays
• Prospects for ${\gamma }^{\star }{\gamma }^{\star }\to \pi \pi$ via lattice QCD
• The QCD Adler function and the muon $g-2$ anomaly from renormalons
• One-loop contributions to decays $e_b\to e_a\gamma$ and $(g-2{)}_{e_a}$ anomalies, and Ward identity
• Lepton masses and mixings, and muon anomalous magnetic moment in an extended $B-L$ model with type I seesaw mechanism
• Monojets from compressed weak frustrated dark matter
• Explaining the Muon g-2 Anomaly in Deflected AMSB for NMSSM
• Probing an intrinsically flavorful ALP via tau-lepton flavor physics
• Secluded Dark Sector and Muon $(g-2)$ in the Light of Fast Expanding Universe
• Particle dispersion in the classical vector dark matter background
• Implications of the muon anomalous magnetic moment for the LHC and MUonE
• Gauged $U(1{)}_{L_{\mu }-L_{\tau }}$ Symmetry and two-zero Textures of Inverse Neutrino Mass Matrix in light of Muon ($g-2$)
• Collider probe of heavy additional Higgs bosons solving the muon $g-2$ and dark matter problems
• Scalar leptoquark and vector-like quark extended models as the explanation of the muon $g-2$ anomaly: bottom partner chiral enhancement case
• Phenomenological model for the $\gamma \gamma \to {\pi }^{+}{\pi }^{-}{\pi }^0$ reaction
• Flavoured $(g-2{)}_{\mu }$ with Dark Lepton Seasoning
• HEWES: Heisenberg-Euler Weak-Field Expansion Simulator
• Monopoles, Exotic states and Muon $g-2$ in TeV scale Trinification
• Reconciling collider signals, dark matter, and the muon anomalous magnetic moment in the supersymmetric $U(1{)}_R\times U(1{)}_{B-L}$ model
• Neutral and Doubly-Charged Scalars at Future Lepton Colliders
• Constraining Low-Scale Flavor Models with $(\mathbf{g}-2{)}_{\mathbf{\mu }}$ and Lepton Flavor Violation
• A model with vectorlike fermions and $U(1{)}_X$ symmetry: CKM unitarity, $b\to s$ transitions, and prospect at Belle II
• Hadronic vacuum polarization correction to the bound-electron $g$ factor
• Muon anomalous magnetic dipole moment in a low scale type I see-saw model
• Anomalous Magnetic Moment and Higgs Coupling of the Muon in a Sequential U(1) Gauge Model with Dark Matter
• Visible GeV ALP from TeV Vector-like Leptons
• Current status of the light neutralino thermal dark matter in the phenomenological MSSM
• Two-Loop Four-Fermion Scattering Amplitude in QED
• Non-Abelian Gauge Lepton Symmetry as the Gateway to Dark Matter
• Calculation of the contribution to muon $g-2$ due to the effective anomalous three boson interaction and the new experimental result
• Constraints on $\tau$ electromagnetic moments via tau pair production at the Muon colliders
• Probing Type-I 2HDM light Higgs in the top-pair-associated diphoton channel
• Study of the electromagnetic Dalitz decay $J/\psi \to e^{+}{e}^{-}{\pi }^0$
• Improved measurements of the Dalitz decays $\eta /{\eta }^{\prime }\to \gamma e^{+}{e}^{-}$
• Charged Lepton Flavor Violating Radiative Decays $l_i\to l_j\gamma$ in G2HDM
• Tests of gluino-driven radiative breaking of the electroweak symmetry at the LHC
• $(g-2{)}_{\mu }$ Versus $K\to \pi +E_{miss}$ Induced by the $(B-L{)}_{23}$ Boson
• The Scale of Superpartner Masses and Electroweakino Searches at the High-Luminosity LHC
• Two-loop contributions of axion-like particles to electromagnetic and chromomagnetic form factors
• Charged lepton flavor violation in light of Muon $g-2$
• An $SU(5)\times U(1{)}^{\prime }$ SUSY GUT with a "vector-like chiral" fourth family to fit all low energy data, including the muon $g-2$
• Muon $g-2$ Anomaly from Vector-like Leptons in a 2-Higgs-doublet + Scalar Singlet Model
• Searching and identifying leptoquarks through low-energy polarized scattering processes $e^{-}p\to e^{-}{\Lambda }_c$
• Physics implication from a $Z_3$ symmetry of matter
• A Flexible Divergence Elimination Method for Calculating Lepton Magnetic Moments in Quantum Electrodynamics
• QCD parameters and SM-high precision from $e^{+}{e}^{-}$ to Hadrons: Updated
• Exploiting stochastic locality in lattice QCD: hadronic observables and their uncertainties
• Study of pion vector form factor and its contribution to the muon $(g-2)$
• Manifestation of the electric dipole moment in the decays of $\tau$ leptons produced in $e^{+}{e}^{-}$ annihilation
• Generation of arbitrarily polarized muon pairs via polarized $e^{-}{e}^{+}$ collision
• Radiative return at NLOPS accuracy
• Singlet Scalars as Dark Matter and the Muon g-2 Anomaly
• Perturbative QCD below charm threshold: theory and tensions with $e^{+}{e}^{-}$ data
• Sizing the double pole resonant enhancement in $e^{+}{e}^{-}\to {\pi }^0{\pi }^0\gamma$ cross section and ${\tau }^{-}\to {\pi }^{-}{\pi }^0{\nu }_{\tau }\gamma$ decay
• Time-kernel for lattice determinations of NLO hadronic vacuum polarization contributions to the muon $g$-$2$
• Effects of the quark flavour thresholds in the hadronic vacuum polarization contributions to the muon anomalous magnetic moment
• Semi-visible dark photon in a model with vector-like leptons for the $(g-2{)}_{e,\mu }$ and $W$-boson mass anomalies
• Light stringy states and the $g-2$ of the muon
• Predicting outcomes of electric dipole and magnetic moment experiments
• Prospects of five-dimensional $L_{\mu }-L_{\tau }$ gauge interactions in the light of elastic neutrino-electron scatterings: The scope of the DUNE near detector
• Enhanced $B_q\to \ell {\ell }^{\prime }$ and $B\to (K,\pi )\ell {\ell }^{\prime }$ in light of $(g-2{)}_{\mu }$
• On the origin of the holographic universe
• Unification of L${}_{\mu }$-L${}_{\tau }$ and the standard model gauge group
• Leptophobic dark photon interpretation of the ${\eta }^{\left(\prime \right)}\to {\pi }^0\left(\eta \right)\gamma \gamma$ puzzle
• A Way of Fast Calculating Lepton Magnetic Moments in Quantum Electrodynamics
• Explaining the $b\to s{\ell }^{+}{\ell }^{-}$ anomalies in $Z^{\prime }$ scenarios with top-FCNC couplings
• Resolving Muon g-2 Anomaly With Partial Compositeness
• Gauged $L_e-L_{\mu }-L_{\tau }$ symmetry, fourth generation, neutrino mass and dark matter
• Proton-box contribution to $a_{\mu }^{\mathrm{HLbL}}$
• Muon g-2, Long-Range Muon Spin Force, and Neutrino Oscillations
• Short-distance constraints on the hadronic light-by-light
• The $L_{\mu }-L_{\tau }$ solution to the IceCube Ultra High Energy neutrino deficit in light of NA64
• Collider imprint of vector-like leptons in light of anomalous magnetic moment and neutrino data
• Muon $g-2$ Anomaly from a Massive Spin-2 Particle
• Flavor and CP-violating Higgs sector in two Higgs doublet models with $U(1{)}^{\prime }$
• Improved experimental layout for dipole moment measurements at the LHC
• The mass-degenerate SM-like Higgs and anomaly of $(g-2{)}_{\mu }$ in $\mu$-term extended NMSSM
• Muon $g-2$ in a 2HDM assisted by inert scalars: probing at the ILC
• Modeling the $R$-ratio and hadronic contributions to $g-2$ with a Treed Gaussian Process
• The dual King relation
• Search for sub-GeV Scalars in $e^{+}{e}^{-}$ collisions
• $W-$mass and Muon $g-2$ in Inert 2HDM Extended by Singlet Complex Scalar
• Pion observables calculated in Minkowski and Euclidean spaces with Ansätze for quark propagators
• Z and Higgs boson decays with doubly-charged scalars at one-loop: current constraints, future sensitivities, and application to lepton-triality models
• Leptonic probes of Alternative Left-Right Symmetric Models
• $R(K^{(\ast )})$ with vector unparticles
• Flavor- and CP-safe explanation of $g_{\mu }-2$ anomaly
• Lepton $g-2$ and $W$-boson mass anomalies in the DFSZ axion model
• Flavour anomalies meet flavour symmetry
• Multi-track Displaced Vertices at B-Factories
• Search for cascade decays of charged sleptons and sneutrinos in final states with three leptons and missing transverse momentum in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• The Radiative Flavor Template at the LHC: Lepton non-universality and g-2
• Extracting the chiral anomaly from $e^{+}{e}^{-}\to 3\pi$
• On-shell Renormalization with Vector-like Leptons, One-loop Muon-Higgs Coupling and Muon g-2
• Effect of large light-heavy neutrino mixing and natural type-II seesaw dominance to lepton flavor violation and neutrinoless double beta decay
• Lepton flavor violation by three units
• Exploring Scotogenic Parameter Spaces and Mapping Uncharted Dark Matter Phenomenology with Multi-Objective Search Algorithms
• Reappraisal of the minimal flavoured $Z^{\prime }$ scenario
• Perturbative unitarity constraints on generic Yukawa interactions
• Highlights of recent BESIII results
• Fundamental Physics in 2025: Status, Decisive Targets, and Path Forward
• HEFT approach to investigate the muon g-2 anomaly at a muon collider
• Contributions to the Muon $g-2$ from a Three-Form Field
• Contribution of exclusive $({\pi }^0{\pi }^0,{\pi }^0\eta ,\eta \eta )\gamma$ channels to the leading order HVP of the muon $g-2$
• Model-independent extrapolation of MUonE data with Padé and D-Log approximants
• A gauged non-universal $U(1{)}_X$ model to study muon $g-2$ and $B$ meson anomalies
• Momentum-dependence of $\rho -\omega$ mixing in the pion vector form factor and its effect on $(g-2{)}_{\mu }$
• Supersymmetry : A decade after Higgs discovery
• Neutrino specific spin-3/2 dark matter
• Charting the new physics through one-loop effects in the muon magnetic dipole moment
• Sub-GeV $U(1{)}_R$ gauge boson to address the proton radius discrepancy
• Vanishing cycles and analysis of singularities of Feynman diagrams
• Impacts of ALP on the Constraints of Dark Photon
• Muon g-2 from Millicharged Hidden Confining Sector
• Intergenerational gauged $B-L$ model and its implication to muon $g-2$ anomaly and thermal dark matter
• Two-loop renormalization of the CPT-even Lorentz-violating Scalar QED
• Systematic analysis of search strategies for $L_{\mu }-L_{\tau }$ gauge bosons at Belle II
• Almost relevant corrections for direct measurements of electron's g-factor
• Applications of the Perturbative Gradient Flow
• Phenomenological study of a gauged $L_{\mu }-L_{\tau }$ model with a scalar leptoquark
• Neutron decay into a Dark Sector via Leptoquarks
• Implications of NSI constraints from ANTARES and IceCube on a simplified $Z^{\prime }$ model
• Revisiting Affleck-Dine Leptogenesis with light sleptons
• Hybrid Type-II and Type-III seesaw model for the muon $g-2$ anomaly
• On the possibility of mixed axion/neutralino dark matter in specific SUSY DFSZ axion models
• $(g-2{)}_{e,\mu }$ and decays $e_b\to e_a\gamma$ in a $ \mbox{SU}(4)_L \otimes \mbox{U}(1)_X$ model with inverse seesaw neutrinos
• A quantum machine learning classifier to search for new physics
• Fermion masses and mixings and $g-2$ muon anomaly in a $Q_6$ flavored 2HDM
• B boson search at KLOE/KLOE-2
• Bootstrapping leading hadronic muon anomaly
• New Physics Searches at Kaon and Hyperon Factories
• Status of ${\mathbb{Z}}_3$-NMSSM featuring a light bino-dominated LSP and a light singlet-like scalar under the LZ Experiment
• Exotic $h\to Za$ Higgs decays into $\tau$ leptons
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Reducing Hadronic Uncertainty in Low-Energy Neutral-Current Processes
• Methodology to determine the spin-parity of muon-philic $X$ boson in $J/\psi \to {\mu }^{-}{\mu }^{+}X$ decay
• Falsifiable analog model predictions of $W$ mass in CDF II and ATLAS
• When backgrounds become signals: neutrino interactions in xenon-based dark matter detectors
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• A forgotten fermion: the hypercharge -3/2 doublet, its phenomenology and connections to dark matter
• Unitarity bounds on extensions of Higgs sector
• Leptoquark and vectorlike quark extended models as the explanation of $(g-2{)}_{\mu }$ anomaly
• MuMuPy: A Dimuonium-Matter Interaction Calculator
• Rare decay $t\to c\gamma \gamma$ via scalar leptoquark doublets
• B-Anomalies from flavorful U(1)' extensions, safely
• Impact of the LZ Experiment on the DM Phenomenology and Naturalness in the MSSM
• General Approach to Neutrino Mass Mechanisms with Sterile Neutrinos
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
• New Constraints on Gauged U(1)${}_{L_{\mu }-L_{\tau }}$ Models via $Z-Z^{\prime }$ Mixing
• Structure-dependent radiative corrections to $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}\gamma$ in the GVMD approach
• From Higgs physics to lepton flavour violation: current bounds and future prospects for vector-like lepton models
• Probing Higgs and Top Interactions through the Muon Lens at multi-TeV Muon Colliders
• Flat Bundles on Function Manifolds and Evolution Equations in Quantum Field Theories
• Impact of quark flavor violating SUSY on h(125) decays at future lepton colliders
• Leptoquarks with Exactly Stable Protons
• Window quantities for the hadronic vacuum polarization contributions to the muon anomalous magnetic moment in spacelike and timelike domains
• Flavour anomalies in supersymmetric scenarios with non-minimal flavour violation
• Relativistic Correction to the Magnetic Moment of the Charged Lepton
• Probing new light scalars with the lepton anomalous magnetic moment and the weak equivalence principle violation
• Electromagnetic and strong isospin breaking in light meson masses
• Probing charged lepton flavor violation with axion-like particles at Belle II
• Experimental test of the third quantization of the electromagnetic field
• Explaining the hints for lepton flavour universality violation with three $S_2$ leptoquark generations
• Excess of Tau events at SND@LHC, FASER$\nu$ and FASER$\nu$2
• On the Time Momentum Representation of Hadronic Vacuum Polarization and ${\mathbf{g}}_{\mathbf{\mu }}-2$
• SMEFT deviations
• Searching for hadronic scale baryonic and dark forces at $(g-2{)}_{\mu }$'s lattice-vs-dispersion front
• Revisiting CMSSM with Non-Universal Gaugino Masses under Current Constraints
• Thermal Leptophilic Light Vector Dark Matter with Spinor Mediator and Muon (g-2) Anomaly
• Can electron and muon $g-2$ anomalies be jointly explained in SUSY?
• Neutrino mass and charged lepton flavor violation in an extended left-right symmetric model
• Searching for Gluino LSP at the LHC
• A comment on lepton mixing
• Constraints on the $U(1{)}_{B-L}$ model from global QCD analysis
• Theory of Muon g-2
• Lepton Universality Violation by Kaluza-Klein Neutrinos in $b\to sll$ transition
• Proton Lifetime in Minimal Supersymmetric SU(5) with Gauge Mediation
• Search for a light CP-odd Higgs boson decaying into a pair of $\tau$-leptons in proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Explaining lepton-flavor non-universality and self-interacting dark matter with $L_{\mu }-L_{\tau }$
• Searching for stop LSP at the LHC
• Graph Reinforcement Learning for Exploring BSM Model Spaces
• Freeze-in Leptogenesis via Dark-Matter Oscillations
• Relativistic entanglement in muon decay
• Evaluation of the three-flavor quark-disconnected contribution to the muon anomalous magnetic moment from experimental data
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$
• Probing the muon $g-2$ with future beam dump experiments
• Upper bound on the smuon mass from vacuum stability in the light of muon $g-2$ anomaly
• Probing the explanation of the muon (g-2) anomaly and thermal light dark matter with the semi-visible dark photon channel
• Dark Matter and Muon $g-2$ Anomaly via Scale Symmetry Breaking
• Probing Hidden Sectors with a muon beam: Total and differential cross-sections for vector boson production in muon bremsstrahlung
• LHC and dark matter implications of t-b-τ Yukawa unification in split SUSY GUTs
• On macroscopic residual QCD force of electrodynamics
• Fractionary Charged Particles Confronting Lepton Flavor Violation and the Muon's Anomalous Magnetic Moment
• Quantum GraviElectro Dynamics
• Three-body final state interactions in $B^{+}\to D\bar{D}{K}^{+}$ decays
• QEDtool: A Python package for numerical quantum information in quantum electrodynamics
• Flavour Physics at LHCb -- 50 years of the KM paradigm
• Rare Higgs Decay into a Photon and a Z Boson in Radiatively-Driven Natural Supersymmetry
• CoLoRFulNNLO for hadron collisions: integrating the iterated single unresolved subtraction terms
• New high-statistics measurement of the ${\pi }^0\to e^{+}{e}^{-}\gamma$ Dalitz decay at the Mainz Microtron
• Leptonic $g-2$ anomaly in an extended Higgs sector with vector-like leptons
• Measurement of the $\eta$ transition form factor through ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\eta$ decay
• Aligned Zee-Grimus-Neufeld model for $(g-2{)}_{\mu }$
• Pion $\beta$ decay and $\tau \to \pi \pi {\nu }_{\tau }$ beyond leading logarithms