Light-by-light scattering sum rules in light of new data

Abstract

We evaluate the light-quark meson contributions to three exact light-by-light scattering sum rules in light of new data by the Belle Collaboration, which recently has extracted the transition form factors of the tensor meson $f_2(1270)$ as well as of the scalar meson $f_0(980)$. We confirm a previous finding that the $\eta ,{\eta }^{\prime }$ and helicity-2 $f_2(1270)$ contributions saturate one of these sum rules up to photon virtualities around 1 GeV${}^2$. At larger virtualities, our sum rule analysis shows an important contribution of the $f_2(1565)$ meson and provides a first empirical extraction of its helicity-2 transition form factor. Two further sum rules allow us to predict the helicity-0 and helicity-1 transition form factors of the $f_2(1270)$ meson. Furthermore, our analysis also provides an update for the scalar and tensor meson hadronic light-by-light contributions to the muon's anomalous magnetic moment.

arXiv comment21 pages, 4 figures

References in corpus (17)

• Measurements of the Meson-Photon Transition Form Factors of Light Pseudoscalar Mesons at Large Momentum Transfer
• Towards a data-driven analysis of hadronic light-by-light scattering
• Single meson contributions to the muon's anomalous magnetic moment
• Dispersive approach to hadronic light-by-light scattering
• Hadronic Light-by-Light Scattering Contribution to the Muon Anomalous Magnetic Moment
• Comprehensive Amplitude Analysis of $\gamma \gamma \to {\pi }^{+}{\pi }^{-},{\pi }^0{\pi }^0$ and $\overline{K}K$ below 1.5 GeV
• Meson--photon transition form factors and resonance cross-sections in e^+ e^- collisions
• Anomalous magnetic moment of the muon in a dispersive approach
• Lattice Calculation of Hadronic Light-by-Light Contribution to the Muon Anomalous Magnetic Moment
• Study of ${\pi }^0$ pair production in single-tag two-photon collisions
• Lattice QCD calculation of hadronic light-by-light scattering
• Light-by-light scattering sum rules constraining meson transition form factors
• f_1(1285) Formation in Two-Photon Collisions at LEP
• Two photon couplings of the lightest isoscalars from BELLE data
• Sum rules for light-by-light scattering
• CLASSICAL PHOTOABSORPTION SUM RULES
• Analytic structure of ${\varphi }^4$ theory using light-by-light sum rules

Cited by in corpus (96)

• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The anomalous magnetic moment of the muon in the Standard Model
• Longitudinal short-distance constraints for the hadronic light-by-light contribution to $(g-2{)}_{\mu }$ with large-$N_c$ Regge models
• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• 50 Years of Quantum Chromodynamics
• The muon $g$-2 and $\Delta \alpha$ connection
• Constraints on the two-pion contribution to hadronic vacuum polarization
• Axial-vector exchange contribution to the hadronic light-by-light piece of the muon anomalous magnetic moment
• Kaon-box contribution to the anomalous magnetic moment of the muon
• The anomalous magnetic moment of the muon in the Standard Model: an update
• The hadronic vacuum polarization contribution to the muon $g-2$ from lattice QCD
• Hadronic light-by-light contribution to $(g-2{)}_{\mu }$ from lattice QCD: a complete calculation
• Short-distance constraints on hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Kaon electromagnetic form factors in dispersion theory
• On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^{+}{e}^{-}$
• A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• Asymptotic behavior of meson transition form factors
• Lattice QCD and the anomalous magnetic moment of the muon
• The two-loop perturbative correction to the (g-2)${}_{\mu }$ HLbL at short distances
• New $\tau$-based evaluation of the hadronic contribution to the vacuum polarization piece of the muon anomalous magnetic moment
• Single pseudoscalar meson pole and pion box contributions to the anomalous magnetic moment of the muon
• Dispersion relations for ${\gamma }^{\ast }{\gamma }^{\ast }\to \pi \pi$: helicity amplitudes, subtractions, and anomalous thresholds
• The charm-quark contribution to light-by-light scattering in the muon $(g-2)$ from lattice QCD
• Muon $g-2$: A review
• 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
• Pseudoscalar pole light-by-light contributions to the muon $(g-2)$ in Resonance Chiral Theory
• 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
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• The hadronic light-by-light contribution to the muon's anomalous magnetic moment
• Constraints on the hadronic light-by-light in the Melnikov-Vainshtein regime
• Pion and Kaon box contribution to $a_{\mu }^{\text{HLbL}}$
• The anomalous magnetic moment of the muon: status of Lattice QCD calculations
• An optimized basis for hadronic light-by-light scattering
• Hadronic light-by-light scattering amplitudes from lattice QCD versus dispersive sum rules
• Theoretical analysis of the $\gamma \gamma \to {\pi }^0\eta$ process
• Dispersion relation for hadronic light-by-light scattering: subleading contributions
• Dispersion relations for hadronic light-by-light scattering in triangle kinematics
• Light-by-light scattering in ultra-peripheral heavy-ion collisions at low diphoton masses
• Study muon g-2 at two-loop level in the $U(1{)}_X$SSM
• Data-driven dispersive analysis of the $\pi \pi$ and $\pi K$ scattering
• Improved ${\pi }^0,\eta ,{\eta }^{\prime }$ transition form factors in resonance chiral theory and their $a_{\mu }^{\mathrm{HLbL}}$ contribution
• Charged lepton flavor violation in light of the muon magnetic moment anomaly and colliders
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• Explaining $(g-2{)}_{\mu }$ with Multi-TeV Sleptons
• $\tau$ data-driven evaluation of Euclidean windows for the hadronic vacuum polarization
• Muon $g-2$ in Gauge Mediation without SUSY CP Problem
• Two-loop Prediction of the Anomalous Magnetic Moment of the Muon in the Two-Higgs Doublet Model with GM2Calc 2
• Dispersion relations for the hadronic VVA correlator
• Neutrino Masses, Leptonic Flavor Mixing and Muon $(g-2)$ in the Seesaw Model with the $U(1{)}_{L_{\mu }^{}-L_{\tau }^{}}^{}$ Gauge Symmetry
• A bridge to new physics: proposing new -- and reviving old -- explanations of $a_{\mu }$
• Mixed leptonic and hadronic corrections to the anomalous magnetic moment of the muon
• Neutrino masses and magnetic moments of electron and muon in the Zee Model
• Hadronic light-by-light scattering contribution to the muon g-2 on the lattice
• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
• Amplitude analysis of the anomalous decay ${\eta }^{\prime }\to {\pi }^{+}{\pi }^{-}\gamma$
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Scalar resonances in the hadronic light-by-light contribution to the muon $(g-2)$
• 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
• New Searches for Muonphilic Particles at Proton Beam Dump Spectrometers
• Coordinate-space calculation of the window observable for the hadronic vacuum polarization contribution to $(g-2{)}_{\mu }$
• Resolving the $(g-2{)}_{\mu }$ Discrepancy with $\mathcal{F}$-$SU$(5) Intersecting D-branes
• Timelike and spacelike kernel functions for the hadronic vacuum polarization contribution to the muon anomalous magnetic moment
• 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 $g-2$
• The role of meson exchanges in light-by-light scattering
• Light vector dark matter with scalar mediator and muon g-2 anomaly
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Revisit of tensor-meson nonet in resonance chiral theory
• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$
• Spinning No-Scale $\mathcal{F}$-$SU$(5) in the Right Direction
• Hadronic Light by Light Corrections to the Muon Anomalous Magnetic Moment
• Anomalous gauge couplings vis-$\grave{a}$-vis $(g-2{)}_{\mu }$ and flavor observables
• Light-by-light forward scattering sum rules for charmonium states
• Constraining Low-Scale Flavor Models with $(\mathbf{g}-2{)}_{\mathbf{\mu }}$ and Lepton Flavor Violation
• Light-by-light scattering sum rule for radiative transitions of bottomonia
• 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
• Light stringy states and the $g-2$ of the muon
• The mass-degenerate SM-like Higgs and anomaly of $(g-2{)}_{\mu }$ in $\mu$-term extended NMSSM
• Flavour anomalies meet flavour symmetry
• $(g-2{)}_{e,\mu }$ and decays $e_b\to e_a\gamma$ in a $ \mbox{SU}(4)_L \otimes \mbox{U}(1)_X$ model with inverse seesaw neutrinos
• Semi-Visible Dark Photon Phenomenology at the GeV Scale
• Tensor Meson Pole contributions to the HLbL piece of $a_{\mu }$ within R$\chi$T
• GM2Calc-2 for the 2HDM
• Hadronic contributions to $a_{\mu }$ within Resonance Chiral Theory
• Tau data-driven evaluation of the Hadronic Vacuum Polarization
• Pseudoscalar pole contribution to the hadronic light-by-light piece of $a_{\mu }$
• Tau Data-Based Evaluations of the hadronic vacuum polarization contribution to the muon $g-2$
• Theory of Muon g-2