Chiral extrapolation of hadronic vacuum polarization

We study the pion-mass dependence of the two-pion channel in the hadronic-vacuum-polarization (HVP) contribution to the anomalous magnetic moment of the muon \(a_\mu^\text{HVP}\), by using an Omnès representation for the pion vector form factor with the phase shift derived from the inverse-amplitude...

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Bibliographic Details
Published in:arXiv.org 2022-01
Main Authors: Colangelo, Gilberto, Hoferichter, Martin, Kubis, Bastian, Niehus, Malwin, Jacobo Ruiz de Elvira
Format: Article
Language:English
Subjects:
Extrapolation
Form factors
Magnetic moments
Pions
Polarization
Quantum chromodynamics
Online Access:Get full text
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Summary:We study the pion-mass dependence of the two-pion channel in the hadronic-vacuum-polarization (HVP) contribution to the anomalous magnetic moment of the muon \(a_\mu^\text{HVP}\), by using an Omnès representation for the pion vector form factor with the phase shift derived from the inverse-amplitude method (IAM). Our results constrain the dominant isospin-\(1\) part of the isospin-symmetric light-quark contribution, and should thus allow one to better control the chiral extrapolation of \(a_\mu^\text{HVP}\), required for lattice-QCD calculations performed at larger-than-physical pion masses. In particular, the comparison of the one- and two-loop IAM allows us to estimate the associated systematic uncertainties and show that these are under good control.
ISSN:2331-8422
DOI:10.48550/arxiv.2110.05493