Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment

Abstract

In this work we study the axial contributions to the hadronic light-by-light piece of the muon anomalous magnetic moment using the framework of resonance chiral theory. As a result, we obtain $a_{\mu }^{\text{HLbL};A}=\left(0.8_{-0.1}^{+3.5}\right)\cdot 10^{-11}$, that might suggest a smaller value than most recent calculations, underlining the need of future work along this direction. In particular, we find that our results depend critically on the asymptotic behavior of the form factors, and as such, emphasizes the relevance of future experiments for large photon virtualities. In addition, we present general results regarding the involved axial form factors description, comprehensively examining (and relating) the current approaches, that shall be of general interest.

arXiv comment21 pages, 1 figure; matches the version published in PRD and includes new Ref. [109] that appeared after publication and is relevant for the asymptotic constraints

References in corpus (92)

• Final Report of the Muon E821 Anomalous Magnetic Moment Measurement at BNL
• CODATA Recommended Values of the Fundamental Physical Constants: 2010
• New Measurement of the Electron Magnetic Moment and the Fine Structure Constant
• The Muon g-2
• CODATA Recommended Values of the Fundamental Physical Constants: 2014
• Measurement of the fine-structure constant as a test of the Standard Model
• Measurement of the Negative Muon Anomalous Magnetic Moment to 0.7 ppm
• The muon $g-2$ and $\alpha (M_Z^2)$: a new data-based analysis
• Complete Tenth-Order QED Contribution to the Muon g-2
• Refinements in electroweak contributions to the muon anomalous magnetic moment
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment revisited
• Hadronic contribution to the muon anomalous magnetic moment to next-to-next-to-leading order
• A new evaluation of the hadronic vacuum polarisation contributions to the muon anomalous magnetic moment and to $\mathbf{\alpha }({\mathbf{m}}_{\mathbf{Z}}^2)$
• The electroweak contributions to (g-2)_μ after the Higgs boson mass measurement
• Remarks on higher-order hadronic corrections to the muon g-2
• Dispersion relation for hadronic light-by-light scattering: two-pion contributions
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Pseudoscalar-pole contribution to the $(g_{\mu }-2)$: a rational approach
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.7 ppm
• Hadronic light-by-light corrections to the muon g-2: the pion-pole contribution
• Spin determination of single-produced resonances at hadron colliders
• Kaon Decays in the Standard Model
• Measurement of the ratio of the $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$ and $B^0\to D^{\ast -}{\mu }^{+}{\nu }_{\mu }$ branching fractions using three-prong $\tau$-lepton decays
• Test of Lepton Flavor Universality by the measurement of the $B^0\to D^{\ast -}{\tau }^{+}{\nu }_{\tau }$ branching fraction using three-prong $\tau$ decays
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• Revised and Improved Value of the QED Tenth-Order Electron Anomalous Magnetic Moment
• Hadronic light-by-light scattering contribution to the muon g-2: an effective field theory approach
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Analysis of the Hadronic Light-by-Light Contributions to the Muon $g-2$
• Towards a data-driven analysis of hadronic light-by-light scattering
• Towards a consistent estimate of the chiral low-energy constants
• Testing new physics with the electron g-2
• Pseudoscalar pole terms in the hadronic light-by-light scattering contribution to muon $g-2$
• S-wave Kpi scattering in chiral perturbation theory with resonances
• Single meson contributions to the muon's anomalous magnetic moment
• Dispersive approach to hadronic light-by-light scattering
• Tenth-Order Electron Anomalous Magnetic Moment --- Contribution of Diagrams without Closed Lepton Loops
• Comment on the Pion Pole Part of the Light-by-Light Contribution to the Muon $g-2$
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Hadronic light-by-light scattering contribution to the muon anomalous magnetic moment from lattice QCD
• Hadronic Contributions to the Muon $g-2$ and Low-Energy QCD
• Hadronic Light-by-Light Contribution to the Muon $g-2$
• Light-by-light scattering sum rules in light of new data
• Rescattering effects in the hadronic-light-by-light contribution to the anomalous magnetic moment of the muon
• Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment
• Pion pole contribution to hadronic light-by-light scattering and muon anomalous magnetic moment
• Hadronic Light-by-light Scattering Effect on Muon g-2
• Electroweak Hadronic Contributions to the muon g-2
• Muon (g-2) Technical Design Report
• Scalar Meson Contributions to a_μfrom Hadronic Light-by-Light Scattering
• tau -> pi pi pi nu_tau decays and the a_1(1260) off-shell width revisited
• Resonances from meson-meson scattering in U(3) CHPT
• Hadronic Light-by-Light Contribution to Muon g-2 in Chiral Perturbation Theory
• Hadronic Light-by-light Scattering Contribution to Muon $g-2$
• Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
• Meson--photon transition form factors and resonance cross-sections in e^+ e^- collisions
• The hadronic off-shell width of meson resonances
• A Rational Approach to Resonance Saturation in large-Nc QCD
• Meson resonances, large N_c and chiral symmetry
• Lattice Calculation of Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment
• γ*γ\rightarrow π^0 transition form factor at low-energies from a model-independent approach
• Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Resonance Chiral Lagrangian Currents and Experimental Data for ${\tau }^{-}\to {\pi }^{-}{\pi }^{-}{\pi }^{+}{\nu }_{\tau }$
• Resonance chiral Lagrangian currents and tau decay Monte Carlo
• QCD Short-distance Constraints and Hadronic Approximations
• Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon
• Lattice QCD calculation of hadronic light-by-light scattering
• Light-by-light scattering sum rules constraining meson transition form factors
• The VV'P form factors in resonance chiral theory and the pi-eta-eta' light-by-light contribution to the muon g-2
• f_1(1285) Formation in Two-Photon Collisions at LEP
• New nonrenormalization theorems for anomalous three point functions
• On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$
• Lattice QCD and the anomalous magnetic moment of the muon
• Quantum Loops in the Resonance Chiral Theory: The Vector Form Factor
• Leading-order hadronic contribution to the electron and muon g-2
• Consistent high-energy constraints in the anomalous QCD sector
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• Two-photon form factors of the pi0, eta and eta-prime mesons in the chiral theory with resonances
• Explicit Results for the Anomalous Three Point Function and Non-Renormalization Theorems
• A rational approximation to <VV-AA> and its O(p^6) low-energy constant
• Pion light-by-light contributions to the muon $g-2$
• Large-Nc QCD and Pade Approximant Theory
• Photoproduction of the $f_1(1285)$ Meson
• Hadronic Light-by-Light and the Pion Polarizability
• The Muon Anomalous Magnetic Moment and the Pion Polarizability
• Numerical calculation of the full two-loop electroweak corrections to muon (g-2)
• Search for direct production of the $f_1(1285)$ resonance in $e^{+}{e}^{-}$ collisions
• $f_1(1285)\to e^{+}{e}^{-}$ decay and direct $f_1$ production in $e^{+}{e}^{-}$ collisions
• Testing the $a_{\mu }$ anomaly in the electron sector through a precise measurement of $h/M$
• Resonance effects in pion and kaon decay constants
• Consistent analysis of $f_1(1285)$ meson form factors
• The LbL contribution to the muon g-2 from the axial-vector mesons exchanges within the nonlocal quark model

Cited by in corpus (91)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• The muon $g$-2 and $\Delta \alpha$ connection
• 50 Years of Quantum Chromodynamics
• Constraints on the two-pion contribution to hadronic vacuum polarization
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation
• Kaon electromagnetic form factors in dispersion theory
• On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^{+}{e}^{-}$
• Axial vector transition form factors in holographic QCD and their contribution to the anomalous magnetic moment of the muon
• On axials and pseudoscalars in the hadronic light-by-light contribution to the muon $(g-2)$
• A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• Asymptotic behavior of meson transition form factors
• The two-loop perturbative correction to the (g-2)${}_{\mu }$ HLbL at short distances
• Short-distance constraints for the longitudinal component of the hadronic light-by-light amplitude: an update
• Electron and muon $g-2$ anomalies in general flavour conserving two Higgs doublets models
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• The charm-quark contribution to light-by-light scattering in the muon $(g-2)$ from lattice QCD
• Muon $g-2$: A review
• The interplay of transverse degrees of freedom and axial-vector mesons with short-distance constraints in g-2
• Muon and electron g-2 and proton and cesium weak charges implications on dark ${\mathbf{Z}}_{\mathbf{d}}$ models
• Contribution of neutral pseudoscalar mesons to $a_{\mu }^{HLbL}$ within a Schwinger-Dyson equations approach to QCD
• Effects of Longitudinal Short-Distance Constraints on the Hadronic Light-by-Light Contribution to the Muon $g-2$
• Tensions in $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}(\gamma )$ measurements: the new landscape of data-driven hadronic vacuum polarization predictions for the muon $g-2$
• Systematically Testing Singlet Models for $(g-2{)}_{\mu }$
• Combined explanation of $W$-mass, muon $g-2$, $R_{K^{(\ast )}}$ and $R_{D^{(\ast )}}$ anomalies in a singlet-triplet scalar leptoquark model
• The Natural Explanation of the Muon Anomalous Magnetic Moment via the Electroweak Supersymmetry from the GmSUGRA in the MSSM
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with solved $U(1{)}_A$ problem
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime
• Hadronic light-by-light contribution to the muon $g-2$ from holographic QCD with massive pions
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• On some properties of the fourth-rank hadronic vacuum polarization tensor and the anomalous magnetic moment of the muon
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• An optimized basis for hadronic light-by-light scattering
• Dispersion relation for hadronic light-by-light scattering: subleading contributions
• Dispersion relations for hadronic light-by-light scattering in triangle kinematics
• Study muon g-2 at two-loop level in the $U(1{)}_X$SSM
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Explaining $(g-2{)}_{\mu }$ with Multi-TeV Sleptons
• Charged lepton flavor violation in light of the muon magnetic moment anomaly and colliders
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• Muon $g-2$ in Gauge Mediation without SUSY CP Problem
• Dispersion relations for the hadronic VVA correlator
• Two-loop Prediction of the Anomalous Magnetic Moment of the Muon in the Two-Higgs Doublet Model with GM2Calc 2
• Holographic QCD and the muon anomalous magnetic moment
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• A bridge to new physics: proposing new -- and reviving old -- explanations of $a_{\mu }$
• Neutrino Masses, Leptonic Flavor Mixing and Muon $(g-2)$ in the Seesaw Model with the $U(1{)}_{L_{\mu }^{}-L_{\tau }^{}}^{}$ Gauge Symmetry
• Neutrino masses and magnetic moments of electron and muon in the Zee Model
• Muon g-2 and a type-X two Higgs doublet scenario: some studies in high-scale validity
• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• New Searches for Muonphilic Particles at Proton Beam Dump Spectrometers
• Coordinate-space calculation of the window observable for the hadronic vacuum polarization contribution to $(g-2{)}_{\mu }$
• Hadronic light-by-light scattering contributions to $(g-2{)}_{\mu }$ from axial-vector and tensor mesons in the holographic soft-wall model
• Hadronic light-by-light scattering contribution to the muon $g-2$ from lattice QCD: semi-analytical calculation of the QED kernel
• Resolving the $(g-2{)}_{\mu }$ Discrepancy with $\mathcal{F}$-$SU$(5) Intersecting D-branes
• Isospin breaking corrections in $2\pi$ production in tau decays and $e^{+}{e}^{-}$ annihilation: consequences for the muon $g-2$ and CVC tests
• Improved evaluation of the electroweak contribution to muon $g-2$
• Timelike and spacelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• Light vector dark matter with scalar mediator and muon g-2 anomaly
• Axial-vector exchange contribution to the Hyperfine Splitting
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• The light-by-light contribution to the muon anomalous magnetic moment from the axial-vector mesons exchanges within the nonlocal quark model
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• 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 $\tau$
• 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
• Exclusive $f_1(1285)$ meson production for energy ranges available at the GSI-FAIR with HADES and PANDA
• Spinning No-Scale $\mathcal{F}$-$SU$(5) in the Right Direction
• Radially excited pion: electromagnetic form factor and the box contribution to the muon's $g-2$
• Anomalous gauge couplings vis-$\grave{a}$-vis $(g-2{)}_{\mu }$ and flavor observables
• Constraining Low-Scale Flavor Models with $(\mathbf{g}-2{)}_{\mathbf{\mu }}$ and Lepton Flavor Violation
• Study of pion vector form factor and its contribution to the muon $(g-2)$
• Light stringy states and the $g-2$ of the muon
• Proton-box contribution to $a_{\mu }^{\mathrm{HLbL}}$
• Effects of the quark flavour thresholds in the hadronic vacuum polarization contributions to the muon anomalous magnetic moment
• The mass-degenerate SM-like Higgs and anomaly of $(g-2{)}_{\mu }$ in $\mu$-term extended NMSSM
• Light-flavor resonance dynamics in the $U(3)$ chiral theory
• Momentum-dependence of $\rho -\omega$ mixing in the pion vector form factor and its effect on $(g-2{)}_{\mu }$
• Flavour anomalies meet flavour symmetry
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• Semi-Visible Dark Photon Phenomenology at the GeV Scale
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
• $(g-2{)}_{e,\mu }$ and decays $e_b\to e_a\gamma$ in a $ \mbox{SU}(4)_L \otimes \mbox{U}(1)_X$ model with inverse seesaw neutrinos
• Theory of Muon g-2
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$