Volume 485 - The European Physical Society Conference on High Energy Physics (EPS-HEP2025) - T07 Flavour Physics and CP Violation
Next-to-next-to-next-to-leading order pion contributions to hadronic vacuum polarisation
L. Lellouch, A. Lupo, M.S. Sjö, K. Szabo and P. Vanhove*
*: corresponding author
Full text: pdf
Pre-published on: January 30, 2026
Published on: March 11, 2026
Abstract
We report on the analytic evaluation of the hadronic vacuum
polarisation in two-flavor chiral perturbation theory to three
loops~[arXiv:2510.12885] that's relevant for the calculation of
the anomalous magnetic moment of the muon and electron. The three-loop
amplitude gets contributions from polylogarithms and six elliptic master
integrals, all derivable from the single-mass two-point sunset
integral via differentiation or integration. Our result is intended to serve as a starting point for phenomenological studies, as well as the computation of finite-volume corrections in lattice QCD.
DOI: https://doi.org/10.22323/1.485.0327
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