# The γπ → ππ anomaly from lattice QCD and dispersion relations

@article{Niehus2021The,
title={The $\gamma$$\pi → \pi$$\pi$ anomaly from lattice QCD and dispersion relations},
author={Malwin Niehus and Martin Hoferichter and Bastian Kubis},
journal={Journal of High Energy Physics},
year={2021}
}
• Published 21 October 2021
• Physics
• Journal of High Energy Physics
Abstract We propose a formalism to extract the γπ → ππ chiral anomaly F3π from calculations in lattice QCD performed at larger-than-physical pion masses. To this end, we start from a dispersive representation of the γ(*)π → ππ amplitude, whose main quark-mass dependence arises from the ππ scattering phase shift and can be derived from chiral perturbation theory via the inverse-amplitude method. With parameters constrained by lattice calculations of the P-wave phase shift, we use this…

## References

SHOWING 1-10 OF 118 REFERENCES
Scattering of two and three physical pions at maximal isospin from lattice QCD
• Physics
• 2020
We present the first direct $N_f=2$ lattice QCD computation of two- and three-$\pi^+$ scattering quantities that includes an ensemble at the physical point. We study the quark mass dependence of the
Unified dispersive approach to real and virtual photon-photon scattering at low energy
Previous representations of pion-pair production amplitudes by two real photons at low energy, which combine dispersion theoretical constraints with elastic unitarity, chiral symmetry and soft-photon
The I = 1 pion–pion scattering amplitude and timelike pion form factor from Nf = 2 + 1 lattice QCD
• Physics
Nuclear Physics B
• 2019
Abstract The elastic I = 1 p-wave ππ scattering amplitude is calculated together with the isovector timelike pion form factor using lattice QCD with N f = 2 + 1 dynamical quark flavors. Wilson clover
Quark mass dependence of the pion vector form factor
• Physics
• 2009
Abstract We examine the quark mass dependence of the pion vector form factor, particularly the curvature (mean quartic radius). We focus our study on the consequences of assuming that the coupling
Hadron-Hadron interactions from [Formula : see text] lattice QCD: the [Formula : see text]-resonance Extended Twisted Mass Collaboration
We present a lattice QCD investigation of the -meson with dynamical quark flavours for the first time. The calculation is performed based on gauge configuration ensembles produced by the ETM
Mesonic Low-Energy Constants
• Physics
• 2014
We review the status of the coupling constants of chiral Lagrangians in the meson sector, the so-called low-energy constants (LECs). We emphasize the chiral SU(2) and SU(3) Lagrangians for the strong
Hadronic light-by-light contribution to $$(g-2)_\mu$$ from lattice QCD: a complete calculation
• Physics
The European Physical Journal C
• 2021
We compute the hadronic light-by-light scattering contribution to the muon $$g-2$$ g - 2 from the up, down, and strange-quark sector directly using lattice QCD. Our calculation features
A dispersive estimate of scalar contributions to hadronic light-by-light scattering
• Physics
• 2021
We consider the contribution of scalar resonances to hadronic light-by-light scattering in the anomalous magnetic moment of the muon. While the f0(500) has already been addressed in previous work
Quark-mass dependence in $$\omega \rightarrow 3\pi$$ω→3π decays
• Physics
The European Physical Journal C
• 2018
We study the quark-mass dependence of $$\omega \rightarrow 3\pi$$ω→3π decays, based on a dispersion-theoretical framework. We rely on the quark-mass-dependent scattering phase shift for the
Towards a data-driven analysis of hadronic light-by-light scattering
• Physics
• 2014
The hadronic light-by-light contribution to the anomalous magnetic moment of the muon was recently analyzed in the framework of dispersion theory, providing a systematic formalism where all input