The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis

Abstract

This work presents a complete re-evaluation of the hadronic vacuum polarisation contributions to the anomalous magnetic moment of the muon, $a_{\mu }^{\mathrm{had},\mathrm{VP}}$ and the hadronic contributions to the effective QED coupling at the mass of the $Z$ boson, $\Delta {\alpha }_{\mathrm{had}}(M_Z^2)$, from the combination of $e^{+}{e}^{-}\to \mathrm{hadrons}$ cross section data. Focus has been placed on the development of a new data combination method, which fully incorporates all correlated statistical and systematic uncertainties in a bias free approach. All available $e^{+}{e}^{-}\to \mathrm{hadrons}$ cross section data have been analysed and included, where the new data compilation has yielded the full hadronic $R$-ratio and its covariance matrix in the energy range $m_{\pi }\le \sqrt{s}\le 11.2$ GeV. Using these combined data and pQCD above that range results in estimates of the hadronic vacuum polarisation contributions to $g-2$ of the muon of $a_{\mu }^{\mathrm{had},\mathrm{LO}\mathrm{VP}}=(693.27\pm 2.46)\times 10^{-10}$ and $a_{\mu }^{\mathrm{had},\mathrm{NLO}\mathrm{VP}}=(-9.82\pm 0.04)\times 10^{-10}$. The new estimate for the Standard Model prediction is found to be $a_{\mu }^{\mathrm{SM}}=(11659182.05\pm 3.56)\times 10^{-10}$, which is $3.7\sigma$ below the current experimental measurement. The prediction for the five-flavour hadronic contribution to the QED coupling at the $Z$ boson mass is $\Delta {\alpha }_{\mathrm{had}}^{(5)}(M_Z^2)=(276.11\pm 1.11)\times 10^{-4}$, resulting in ${\alpha }^{-1}(M_Z^2)=128.946\pm 0.015$. Detailed comparisons with results from similar related works are given.

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• Higher-order hadronic-vacuum-polarization contribution to the muon g-2 from lattice QCD
• Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$
• Prospects for a flavour violating $Z^{\prime }$ explanation of $\Delta a_{\mu ,e}$
• 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
• Natural Supersymmetry: Status and Prospects
• Evidence against naive truncations of the OPE from $e^{+}{e}^{-}\to$ hadrons below charm
• The muon g-2 anomaly confronts new physics in $e^{\pm }$ and ${\mu }^{\pm }$ final states scattering
• Coordinate-space calculation of the window observable for the hadronic vacuum polarization contribution to $(g-2{)}_{\mu }$
• New Searches for Muonphilic Particles at Proton Beam Dump Spectrometers
• Explanation of electron and muon $g-2$ anomalies in AMSB
• Leptonic scalar portal: Origin of muon $g-2$ anomaly and dark matter?
• Muon $g-2$: Lattice calculations of the hadronic vacuum polarization
• LFV and g-2 in non-universal SUSY models with light higgsinos
• Spectral-weight sum rules for the hadronic vacuum polarization
• Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel
• Hybrid calculation of hadronic vacuum polarization in muon g-2 to 0.48\%
• A ChPT estimate of the strong-isospin-breaking contribution to the anomalous magnetic moment of the muon
• Muon Anomalous Magnetic Moment and Higgs Potential Stability in the 331 Model from $SU(6)$
• Neutrino mass, mixing and muon $g-2$ explanation in $U(1{)}_{L_{\mu }-L_{\tau }}$ extension of left-right theory
• MUonE, muon $g-2$ and electroweak precision constraints within 2HDMs
• Sensitivity of future lepton colliders and low-energy experiments to charged lepton flavor violation from bileptons
• Generalized 2HDM with wrong-sign lepton Yukawa coupling, in light of $g_{\mu }-2$ and lepton flavor violation at the future LHC
• Lepton Phenomenology of Stueckelberg Portal to Dark Sector
• Resolving the $(g-2{)}_{\mu }$ Discrepancy with $\mathcal{F}$-$SU$(5) Intersecting D-branes
• Data-driven study of the implications of anomalous magnetic moments and lepton flavor violating processes of $e$, $\mu$ and $\tau$
• An explanation of experimental data of $(g-2{)}_{e,\mu }$ in 3-3-1 models with inverse seesaw neutrinos
• Finite-volume correction on the hadronic vacuum polarization contribution to muon g-2 in lattice QCD
• Matching relations for decoupling in the Standard Model at two loops and beyond
• Timelike and spacelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Muon $g-2$ and non-thermal leptogenesis in $U(1{)}_{L_{\mu }-L_{\tau }}$ model
• Fermion masses and mixings and $g-2$ muon anomaly in a 3-3-1 model with $D_4$ family symmetry
• Improved evaluation of the electroweak contribution to muon $g-2$
• Probing the flavor-specific scalar mediator for the muon $(g-2)$ deviation, the proton radius puzzle and the light dark matter production
• Isospin breaking corrections in $2\pi$ production in tau decays and $e^{+}{e}^{-}$ annihilation: consequences for the muon $g-2$ and CVC tests
• Material matter effects in gravitational UV/IR mixing
• Minimal model for the $W$-boson mass, $(g-2{)}_{\mu }$, $h\to {\mu }^{+}{\mu }^{-}$ and quark-mixing-matrix unitarity
• Next-to-Leading-Order QCD Matching for $\Delta F=2$ Processes in Scalar Leptoquark Models
• Probing the singularities of the Landau-gauge gluon and ghost propagators with rational approximants
• New perspective in searching for axion-like particles from flavor physics
• Light vector dark matter with scalar mediator and muon g-2 anomaly
• Novel Method to Reliably Determine the QCD Coupling from $R_{\mathrm{uds}}$ Measurements and its effects to Muon $g-2$ and $\alpha (M_Z^2)$ within the Tau-Charm Energy Region
• Opening the Higgs Portal to Lepton-Flavoured Dark Matter
• Impact of Lorentz violation on anomalous magnetic moments of charged leptons
• Study of the process $e^{+}{e}^{-}\to 3({\pi }^{+}{\pi }^{-}){\pi }^0$ in the C.M. Energy range 1.6--2.0 GeV with the CMD-3 detector
• Portal Matter, Kinetic Mixing, and Muon $g-2$
• A smuon in the NMSSM confronted with the muon g-2 and SUSY searches
• Muon $(g-2)$ and Flavor Puzzles in the $U(1{)}_X^{}$-gauged Leptoquark Model
• A 17 MeV pseudoscalar and the LSND, MiniBooNE and ATOMKI anomalies
• Soft gluon fields and anomalous magnetic moment of muon
• The interplay between SM precision, BSM physics and measurements of ${\alpha }_{\mathrm{had}}$ in $\mu$-$e$ scattering
• Muon g-2, Dark Matter and the Higgs mass in No-Scale Supergravity
• 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
• Scalar leptoquark effects on $B\to \mu \bar{\nu }$ decay
• The ALP explanation to muon $(g-2)$ and its test at future Tera-$Z$ and Higgs factories
• Kinematical distributions of coherent neutrino trident production in gauged $L_{\mu }-L_{\tau }$ model
• Higgs-mass constraints on a supersymmetric solution of the muon g-2 anomaly
• LSND and MiniBooNE as guideposts to understanding the muon $g-2$ results and the CDF II $W$ mass measurement
• Current Status of the Muon g-2 Interpretations within Two-Higgs-Doublet Models
• Global analysis and LHC study of a vector-like extension of the Standard Model with extra scalars
• On electroweak corrections to neutral current Drell-Yan with the POWHEG BOX
• Probing New Physics Signals with Symmetry-Restored Yukawa Textures
• Lepton specific two-Higgs-doublet model based on a $U(1{)}_X$ gauge symmetry with dark matter
• Muon anomalous magnetic moment, Z boson decays, and collider physics in multi-charged particles
• Tension between $e^{+}{e}^{-}\to \eta {\pi }^{-}{\pi }^{+}$ and ${\tau }^{-}\to \eta {\pi }^{-}{\pi }^0{\nu }_{\tau }$ data and non-standard interactions
• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$
• Leptoquark and vector-like quark extended models as the explanation of the muon $g-2$ anomaly
• Fermion mass hierarchy and g-2 anomalies in an extended 3HDM Model
• Models with two Higgs doublets and a light pseudoscalar:a portal to dark matter and the possible $(\mathbf{g}-2{)}_{\mu }$ excess
• A Large Muon EDM from Dark Matter
• Anomalous and axial Z' contributions to g-2
• Heavy singly charged Higgs bosons and inverse seesaw neutrinos as origins of large $(g-2{)}_{e,\mu }$ in two higgs doublet models
• Design and performance of an in-vacuum, magnetic field mapping system for the Muon g-2 experiment
• Measurement of the $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^0$ cross section in the energy range 0.62-3.50 GeV at Belle II
• Muon Electric Dipole Moment as a Probe of Flavor-Diagonal CP Violation
• Minimal Zee model for lepton $g-2$ and $W$-mass shifts
• Connecting $(g-2{)}_{\mu }$ to neutrino mass in the extended neutrinophilic 2HDM
• Could the 21-cm absorption be explained by the dark matter suggested by ${}^8$Be transitions?
• Fifth Force and Hyperfine Splitting in Bound Systems
• Gauging lepton flavor SU(3) for the muon $g-2$
• Spinning No-Scale $\mathcal{F}$-$SU$(5) in the Right Direction
• Signatures of a Flavor Changing $Z^{\prime }$ Boson in $B_q\to \gamma Z^{\prime }$
• Muon $g-2$ Anomaly and Neutrino Magnetic Moments
• Vector leptoquark contributions to lepton dipole moments
• Muon ($g-2$) in $U(1{)}_{L_{\mu }-L_{\tau }}$ Scotogenic Model Extended with Vector like Fermion
• Muon $g-2$ and semileptonic $B$ decays in Bélanger-Delaunay-Westhoff model with gauge kinetic mixing
• Observation of the double Dalitz decay ${\eta }^{\prime }\to e^{+}{e}^{-}{e}^{+}{e}^{-}$
• Strategy to measure tau $g-2$ via photon fusion in LHC proton collisions
• Explaining $g_{\mu }-2$ and $R_{K^{(\ast )}}$ using the light mediators of $U(1{)}_{T3R}$
• Light Dilaton in Rare Meson Decays and Extraction of its CP Property
• Probing an intrinsically flavorful ALP via tau-lepton flavor physics
• Lepton masses and mixings, and muon anomalous magnetic moment in an extended $B-L$ model with type I seesaw mechanism
• Towards testing $(g-2{)}_{\tau }$ in $e^{+}{e}^{-}\to {\tau }^{+}{\tau }^{-}$: radiative corrections and projections for Belle II
• Anomalous gauge couplings vis-$\grave{a}$-vis $(g-2{)}_{\mu }$ and flavor observables
• Neutrinophilic DM annihilation in a model with $U(1{)}_{L_{\mu }-L_{\tau }}\times U(1{)}_H$ gauge symmetry
• Secluded Dark Sector and Muon $(g-2)$ in the Light of Fast Expanding Universe
• Probing Magnetic Moment Operators in $H\gamma$ Production and $H\to {\tau }^{+}{\tau }^{-}\gamma$ Rare Decay
• Study of the reactions $e^{+}{e}^{-}\to 2({\pi }^{+}{\pi }^{-}){\pi }^0{\pi }^0{\pi }^0$ and $e^{+}{e}^{-}\to 2({\pi }^{+}{\pi }^{-}){\pi }^0{\pi }^0\eta$ at center-of-mass energies from threshold to 4.5 GeV using initial-state radiation
• Tau $g-2$ at $e^{-}{e}^{+}$ colliders with momentum dependent form factor
• Measurement of the cross sections for $e^{+}{e}^{-}\to \eta {\pi }^{+}{\pi }^{-}$ at center-of-mass energies between 2.00 and 3.08 GeV
• One-loop contributions to decays $e_b\to e_a\gamma$ and $(g-2{)}_{e_a}$ anomalies, and Ward identity
• Constraining Low-Scale Flavor Models with $(\mathbf{g}-2{)}_{\mathbf{\mu }}$ and Lepton Flavor Violation
• Isospin breaking corrections to the HVP at the physical point
• Searching for supersymmetry and its avatars
• Implications of the muon anomalous magnetic moment for the LHC and MUonE
• A multi-charged particle model with local $U(1{)}_{\mu -\tau }$ to explain muon $g-2$, flavor physics, and possible collider signature
• Collider probe of heavy additional Higgs bosons solving the muon $g-2$ and dark matter problems
• Monopoles, Exotic states and Muon $g-2$ in TeV scale Trinification
• Flavoured $(g-2{)}_{\mu }$ with Dark Lepton Seasoning
• A model with vectorlike fermions and $U(1{)}_X$ symmetry: CKM unitarity, $b\to s$ transitions, and prospect at Belle II
• $(g-2{)}_{\mu }$ Versus $K\to \pi +E_{miss}$ Induced by the $(B-L{)}_{23}$ Boson
• Scalar leptoquark and vector-like quark extended models as the explanation of the muon $g-2$ anomaly: bottom partner chiral enhancement case
• Study of $e^{+}{e}^{-}\to \eta \varphi$ via Initial State Radiation at Belle
• Reduction of coherent betatron oscillations in a muon g-2 storage ring experiment using RF fields
• Studies for New Experiments at the CERN M2 Beamline within "Physics Beyond Colliders": AMBER/COMPASS++, NA64mu, MuonE
• Effects of the quark flavour thresholds in the hadronic vacuum polarization contributions to the muon anomalous magnetic moment
• The Light Sgoldstino Phenomenology: Explanations for the Muon $(g-2)$ Deviation and KOTO Anomaly
• Enhanced $B_q\to \ell {\ell }^{\prime }$ and $B\to (K,\pi )\ell {\ell }^{\prime }$ in light of $(g-2{)}_{\mu }$
• Gauged $L_e-L_{\mu }-L_{\tau }$ symmetry, fourth generation, neutrino mass and dark matter
• Light stringy states and the $g-2$ of the muon
• Singlet Scalars as Dark Matter and the Muon g-2 Anomaly
• Semi-visible dark photon in a model with vector-like leptons for the $(g-2{)}_{e,\mu }$ and $W$-boson mass anomalies
• A variant two-Higgs doublet model with a new Abelian gauge symmetry
• Two-loop contributions of axion-like particles to electromagnetic and chromomagnetic form factors
• Time-kernel for lattice determinations of NLO hadronic vacuum polarization contributions to the muon $g$-$2$
• An alternative gauged $U(1{)}_R$ symmetric model in light of the CDF II $W$ boson mass anomaly
• Study of pion vector form factor and its contribution to the muon $(g-2)$
• Muon $g-2$ Anomaly from Vector-like Leptons in a 2-Higgs-doublet + Scalar Singlet Model
• Machine-Learning Analysis of Radiative Decays to Dark Matter at the LHC
• Resolving Muon g-2 Anomaly With Partial Compositeness
• Proton-box contribution to $a_{\mu }^{\mathrm{HLbL}}$
• Probing a low-mass $Z^{\prime }$ gauge boson at IceCube and prospects for IceCube-Gen2
• Perturbative QCD below charm threshold: theory and tensions with $e^{+}{e}^{-}$ data
• Radiative return at NLOPS accuracy
• Recent Developments of Muon g-2 from Lattice QCD
• On-shell Renormalization with Vector-like Leptons, One-loop Muon-Higgs Coupling and Muon g-2
• Extracting the chiral anomaly from $e^{+}{e}^{-}\to 3\pi$
• Contribution of exclusive $({\pi }^0{\pi }^0,{\pi }^0\eta ,\eta \eta )\gamma$ channels to the leading order HVP of the muon $g-2$
• Muon $g-2$ in a 2HDM assisted by inert scalars: probing at the ILC
• The Radiative Flavor Template at the LHC: Lepton non-universality and g-2
• Model-independent extrapolation of MUonE data with Padé and D-Log approximants
• Muon $g-2$ Anomaly from a Massive Spin-2 Particle
• Study Of The Process $E^+E^-\To K_s^0 K_s^0 Π^+Π^-$ In The C.M. Energy Range 1.6--2.0 Gev With The Cmd-3 Detector
• Modeling the $R$-ratio and hadronic contributions to $g-2$ with a Treed Gaussian Process
• Flavour anomalies meet flavour symmetry
• The mass-degenerate SM-like Higgs and anomaly of $(g-2{)}_{\mu }$ in $\mu$-term extended NMSSM
• Contributions to the Muon $g-2$ from a Three-Form Field
• Leptonic probes of Alternative Left-Right Symmetric Models
• On systematic and GR effects on muon $g-2$ experiments
• Lepton $g-2$ and $W$-boson mass anomalies in the DFSZ axion model
• Fermiophobic $Z^{\prime }$ model for simultaneously explaining the muon anomalies $R_{K^{(\ast )}}$ and $(g-2{)}_{\mu }$
• Running of the Electroweak Gauge Couplings from First Principles
• $(g-2{)}_{e,\mu }$ and decays $e_b\to e_a\gamma$ in a $ \mbox{SU}(4)_L \otimes \mbox{U}(1)_X$ model with inverse seesaw neutrinos
• Muon g-2 from Millicharged Hidden Confining Sector
• Study of the process $e^{+}{e}^{-}\to K_S^0{K}^{\pm }{\pi }^{\mp }{\pi }^{+}{\pi }^{-}$ in the C.M. energy range 1.6--2.0 GeV with the CMD-3 detector
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
• Probing Light Scalars and Vector-like Quarks at the High-Luminosity LHC
• Vanishing cycles and analysis of singularities of Feynman diagrams
• Semi-Visible Dark Photon Phenomenology at the GeV Scale
• Probing a $Z^{\prime }$ gauge boson via neutrino trident scattering in the Forward Physics Facility at the LHC and FCC
• Bootstrapping leading hadronic muon anomaly
• Unitarity bounds on extensions of Higgs sector
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Bound Deuteron-Antideuteron System (Deuteronium): Leading Radiative and Internal-Structure Corrections to Bound-State Energies
• Systematic analysis of search strategies for $L_{\mu }-L_{\tau }$ gauge bosons at Belle II
• Precision lattice calculation of the hadronic contribution to the running of the electroweak gauge couplings
• Upper bound on the smuon mass from vacuum stability in the light of muon $g-2$ anomaly
• Leptonic $g-2$ anomaly in an extended Higgs sector with vector-like leptons
• Fractionary Charged Particles Confronting Lepton Flavor Violation and the Muon's Anomalous Magnetic Moment
• New high-statistics measurement of the ${\pi }^0\to e^{+}{e}^{-}\gamma$ Dalitz decay at the Mainz Microtron
• Complete NLO corrections to off-shell $\mathbf{t}\bar{\mathbf{t}}$ production in the $\mathbf{\ell }+\mathbf{j}$ decay channel
• Proton Lifetime in Minimal Supersymmetric SU(5) with Gauge Mediation
• Probing the muon $g-2$ with future beam dump experiments
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$
• Leptoquarks with Exactly Stable Protons
• Graph Reinforcement Learning for Exploring BSM Model Spaces
• Flavour anomalies in supersymmetric scenarios with non-minimal flavour violation
• Neutrino mass and charged lepton flavor violation in an extended left-right symmetric model
• Aligned Zee-Grimus-Neufeld model for $(g-2{)}_{\mu }$
• Theory of Muon g-2
• The hadronic vacuum polarisation contributions to the muon $g-2$
• Thermal Leptophilic Light Vector Dark Matter with Spinor Mediator and Muon (g-2) Anomaly
• Evaluation of the three-flavor quark-disconnected contribution to the muon anomalous magnetic moment from experimental data
• Explaining the hints for lepton flavour universality violation with three $S_2$ leptoquark generations