[Submitted on 11 Oct 2021] (cross-list from hep-ph)
Chiral extrapolation of hadronic vacuum polarization
Gilberto Colangelo🇨🇭 · Martin Hoferichter🇨🇭 · Bastian Kubis🇩🇪 · Malwin Niehus🇩🇪 · Jacobo Ruiz de Elvira🇨🇭
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 , 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- part of the isospin-symmetric light-quark contribution, and should thus allow one to better control the chiral extrapolation of , 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.
- Comments:
- 9 pages, 4 figures; journal version; Mathematica implementation included as supplemental material
- Subjects:
- High Energy Physics — Phenomenology (hep-ph); High Energy Physics — Lattice (hep-lat); Nuclear Theory (nucl-th)
- arXiv:
- 2110.05493 [pdf]