Year: 2026
Type: article
Abstract: A bstract Hadronic vacuum polarization at low virtualities limits the precision of experimental tests of the standard model via important physical observables. Here we compute that effect in two-flavor chiral perturbation theory to three loops. Among the master integrals that describe the amplitude, six are elliptic functions of the momentum. Of these, five are new to this work, although all can be related to the three-loop sunset integral. The renormalizability of the amplitude hinges on relations between the master integrals that were not previously known and that are not consequences of the integration-by-parts reduction. Our result is intended to serve as a starting point for phenomenological calculations, as well as the computation of finite-volume corrections in lattice QCD.
Source: Journal of High Energy Physics
Authors: Laurent Lellouch, Alessandro Lupo, Mattias Sjö, Kálmán Szabo, Pierre Vanhove
Institutions: Centre National de la Recherche Scientifique, Université de Toulon, Aix-Marseille Université, Centre de Physique Théorique, University of Wuppertal, Forschungszentrum Jülich, Jülich Supercomputing Centre, Commissariat à l'Énergie Atomique et aux Énergies Alternatives, Université Paris-Saclay, CEA Paris-Saclay - Etablissement de Saclay, Institut de Physique Théorique
Language: English
Subfield: Nuclear and High Energy Physics
Field: Physics and Astronomy
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4415273695