Extracting the chiral anomaly from gamma pi --> pi pi

Abstract

We derive dispersive representations for the anomalous process gamma pi --> pi pi with the pi pi P-wave phase shift as input. We investigate how in this framework the chiral anomaly can be extracted from a cross-section measurement using all data up to 1 GeV, and discuss the importance of a precise representation of the gamma pi --> pi pi amplitude for the hadronic light-by-light contribution to the anomalous magnetic moment of the muon.

arXiv comment10 pages, 3 figures; version published in Phys. Rev. D

References in corpus (24)

• The Muon g-2
• Hidden Local Symmetry at Loop -- A New Perspective of Composite Gauge Boson and Chiral Phase Transition
• The pion-pion scattering amplitude. IV: Improved analysis with once subtracted Roy-like equations up to 1100 MeV
• A new analysis of $\pi K$ scattering from Roy and Steiner type equations
• The Low Energy $\pi \pi$ Amplitude to One and Two Loops
• Dispersive analysis of the decay eta -> 3 pi
• Regge analysis of the pi pi scattering amplitude
• What $\pi -\pi$ Scattering Tells Us About Chiral Perturbation Theory
• Dispersive analysis of omega --> 3pi and phi --> 3pi decays
• omega --> pi0 gamma* and phi --> pi0 gamma* Transition form factors in dispersion theory
• Roy-Steiner equations for gamma gamma -> pi pi
• Roy-Steiner equations for pion-nucleon scattering
• Dispersive analysis of the scalar form factor of the nucleon
• Upgraded Breaking Of The HLS Model: A Full Solution to the tau-e+e- and phi Decay Issues And Its Consequences On g-2 VMD Estimates
• A Global Treatment Of VMD Physics Up To The $\varphi$: I. $e^{+}{e}^{-}$ Annihilations, Anomalies And Vector Meson Partial Widths
• Dispersive Approach to Chiral Perturbation Theory
• Electromagnetic corrections to gamma pi(+) -> pi(0) pi(+)
• Leading logarithms in the anomalous sector of two-flavour QCD
• The anomalous process gamma pi -> pi pi to two loops
• Chiral Anomaly and $\gamma 3\pi$
• A new determination of the $\gamma \pi \to \pi \pi$ anomalous amplitude via ${\pi }^{-}{e}^{-}\to {\pi }^{-}{e}^{-}{\pi }^0$ data
• Study of $\gamma \pi \to \pi \pi$ below 1 GeV using Integral Equation Approach
• Computation of the coefficients for $p^6$ order anomalous chiral Lagrangian
• Axial anomaly and the interplay of quark loops with pseudoscalar and vector mesons in the gamma* --> pi+ pi0 pi- process

Cited by in corpus (65)

• The anomalous magnetic moment of the muon in the Standard Model
• QCD and strongly coupled gauge theories: challenges and perspectives
• Two-pion contribution to hadronic vacuum polarization
• Three-pion contribution to hadronic vacuum polarization
• Dispersion relation for hadronic light-by-light scattering: pion pole
• Roy-Steiner-equation analysis of pion-nucleon scattering
• Dispersion relation for hadronic light-by-light scattering: theoretical foundations
• Towards a data-driven analysis of hadronic light-by-light scattering
• Pion-pole contribution to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• B_l4 decays and the extraction of |V_ub|
• Rescattering effects in the hadronic-light-by-light contribution to the anomalous magnetic moment of the muon
• Dispersive analysis of the pion transition form factor
• The anomalous magnetic moment of the muon in the Standard Model: an update
• Dispersive analysis for $\eta \to \gamma {\gamma }^{\ast }$
• Precision tests of fundamental physics with $\eta$ and ${\eta }^{\prime }$ mesons
• The $\pi \pi \to \pi {\gamma }^{\star }$ amplitude and the resonant $\rho \to \pi {\gamma }^{\star }$ transition from lattice QCD
• Anomalous decay and scattering processes of the eta meson
• Lattice calculation of the pion transition form factor ${\pi }^0\to {\gamma }^{\ast }{\gamma }^{\ast }$
• Kaon electromagnetic form factors in dispersion theory
• On the transition form factors of the axial-vector resonance $f_1(1285)$ and its decay into $e^{+}{e}^{-}$
• The resonant ${\pi }^{+}\gamma \to {\pi }^{+}{\pi }^0$ amplitude from Quantum Chromodynamics
• A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• Hadronic vacuum polarization and vector-meson resonance parameters from $e^{+}{e}^{-}\to {\pi }^0\gamma$
• Asymptotic behavior of meson transition form factors
• Isospin-breaking effects in the two-pion contribution to hadronic vacuum polarization
• Radiative resonance couplings in $\gamma \pi \to \pi \pi$
• Virtual photon-photon scattering
• Dispersion relations for ${\gamma }^{\ast }{\gamma }^{\ast }\to \pi \pi$: helicity amplitudes, subtractions, and anomalous thresholds
• The $\pi \gamma \to \pi \pi$ transition and the $\rho$ radiative decay width from lattice QCD
• Two-loop analysis of the pion-mass dependence of the $\rho$ meson
• Axial-vector transition form factors and $e^{+}{e}^{-}\to f_1{\pi }^{+}{\pi }^{-}$
• A phenomenological estimate of isospin breaking in hadronic vacuum polarization
• Isospin-breaking effects in the three-pion contribution to hadronic vacuum polarization
• Measurement of the pi^0 -> e^+e^-gamma Dalitz decay at the Mainz Microtron
• Dispersion relation for hadronic light-by-light scattering: subleading contributions
• Quark-mass dependence in $\omega \to 3\pi$ decays
• The $\gamma \pi \to \pi \pi$ anomaly from lattice QCD and dispersion relations
• Nucleon resonance parameters from Roy-Steiner equations
• Dispersion relation for hadronic light-by-light scattering: $\eta$ and ${\eta }^{\prime }$ poles
• What can we learn about light-meson interactions at electron-positron colliders?
• Dispersion relations for the hadronic VVA correlator
• Complete dispersive evaluation of the hadronic light-by-light contribution to muon $g-2$
• On the scalar $\pi K$ form factor beyond the elastic region
• Anomalous thresholds in $B\to (P,V){\gamma }^{\ast }$ form factors
• Precision evaluation of the $\eta$- and ${\eta }^{\prime }$-pole contributions to hadronic light-by-light scattering in the anomalous magnetic moment of the muon
• Dispersive analysis of the Primakoff reaction $\gamma K\to K\pi$
• Analysis of rescattering effects in $3\pi$ final states
• The semileptonic decays ${\eta }^{(\prime )}\to {\pi }^0{\ell }^{+}{\ell }^{-}$ and ${\eta }^{\prime }\to \eta {\ell }^{+}{\ell }^{-}$ in the standard model
• Improved Standard-Model prediction for $K_L\to {\ell }^{+}{\ell }^{-}$
• Radiative corrections and Monte Carlo tools for low-energy hadronic cross sections in $e^{+}{e}^{-}$ collisions
• Analytic continuation of Pasquier inversion representation of Khuri-Treiman equation
• Hadronic light-by-light scattering in the anomalous magnetic moments of electron and $\tau$
• Looking for chiral anomaly in $K\gamma \to K\pi$ reactions
• Timelike form factor for the anomalous process ${\gamma }^{\ast }\pi \to \pi \pi$
• Polarizabilities from kaon Compton scattering
• Low-energy photon and pion scattering in holographic QCD
• Transition form-factor of $\gamma \to 3\pi$ in nonlocal quark model
• Extracting the chiral anomaly from $e^{+}{e}^{-}\to 3\pi$
• Dispersive analysis of the $J/\psi \to {\pi }^0{\gamma }^{\ast }$ transition form factor with $\rho$-$\omega$ mixing effects
• Anomalous processes and leading logarithms
• Chiral perturbation theory
• Tests of Three-Flavor Chiral Perturbation Theory
• Dispersive Treatments of $K_{\ell 4}$ Decays and Hadronic Light-by-Light Scattering
• Precision dispersive approaches versus unitarized Chiral Perturbation Theory for the lightest scalar resonances $\sigma /f_0(500)$ and $\kappa /K_0^{\ast }(700)$
• New high-statistics measurement of the ${\pi }^0\to e^{+}{e}^{-}\gamma$ Dalitz decay at the Mainz Microtron