Hadronic Vacuum Polarization Contribution to $\boldsymbol{g_{\mu}-2}$ as a function of the external lepton mass
High Energy Physics - Phenomenology
2024-06-04 v2 High Energy Physics - Lattice
High Energy Physics - Theory
Abstract
The hadronic vacuum polarization contribution to the anomalous magnetic moment of a lepton is considered as a function of the lepton mass. We show how the analyticity properties of this function allow for its full reconstruction when it is only known in a restricted mass region. Assuming that LQCD could evaluate it in an optimal mass region we show, within the framework of a phenomenological model, how to reconstruct the function elsewhere, in particular at the muon mass value.
Keywords
Cite
@article{arxiv.2311.11597,
title = {Hadronic Vacuum Polarization Contribution to $\boldsymbol{g_{\mu}-2}$ as a function of the external lepton mass},
author = {David Greynat and Eduardo de Rafael},
journal= {arXiv preprint arXiv:2311.11597},
year = {2024}
}
Comments
15 pages, 7 figures, some corrections added