Hadronic vacuum polarization to three loops in chiral perturbation theory

par Pierre Vanhove (IPhT CEA)

mercredi 11 mars 2026, 14:30 → 15:30 Europe/Paris

100/-1-A900 - Auditorium Joliot Curie (IJCLab)

In this talk we will report on the analytic evaluation of the hadronic vacuum polarisation in two-flavor chiral perturbation theory to three loops 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.

Based on work [arXiv:2510.12885] and work in progress with Laurent Lellouch, Alessandro Lupo, Mattias Sjö and Kálmán Szabo.