Isospin-violating vacuum polarization in the muon (g-2) with SU(3) flavour symmetry from lattice QCD

Erb, Dominik and Gerardin, Antoine and Meyer, Harvey B. and Parrino, Julian and Biloshytskyi, Volodymyr and Pascalutsa, Vladimir (2025) Isospin-violating vacuum polarization in the muon (g-2) with SU(3) flavour symmetry from lattice QCD. JOURNAL OF HIGH ENERGY PHYSICS (10): 157. ISSN , 1029-8479

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Abstract

We compute the isospin-violating part a mu HVP,38\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$ {a}_{\mu}<^>{\textrm{HVP},38} $$\end{document} of the hadronic-vacuum-polarization (HVP) contribution to the muon (g - 2) in lattice QCD at the SU(3)f-symmetric point where M pi = MK similar or equal to 416 MeV. All diagrams involving internal photons are evaluated in coordinate space, employing a Pauli-Villars-regulated photon propagator with a cutoff scale Lambda well below the lattice cutoff. The counterterm (mu - md), whose Lambda dependence is consistent with the expected logarithmic behaviour, is calibrated using the experimental kaon mass splitting as input. The bare electromagnetic contribution at fixed Lambda is compared to a phenomenological estimate based on the kaon-loop and pseudoscalar-pole contributions to the forward light-by-light amplitude. An extension of these calculations to physical pion and kaon masses appears promising.

Item Type: Article
Uncontrolled Keywords: ANOMALOUS MAGNETIC-MOMENT; INFORMATION CRITERION; Lattice QCD; Standard Model Parameters
Subjects: 500 Science > 530 Physics
Divisions: Physics > Institute of Theroretical Physics
Depositing User: Dr. Gernot Deinzer
Date Deposited: 02 Jun 2026 12:07
Last Modified: 02 Jun 2026 12:07
URI: https://pred.uni-regensburg.de/id/eprint/67387

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