Work

Anatomy of finite-volume effects on the hadronic vacuum polarization contribution to the muon g − 2

Year: 2025

Type: article

Abstract: The low-energy spectrum relevant to the lattice calculation of the hadronic vacuum polarization contribution to muon anomalous magnetic moment a μ HVP , LO is dominantly given by two-pion states satisfying Lüscher’s finite-volume quantization condition. Finite-volume effects from those states may exhibit power-law dependence on the volume, contrary to an exponential suppression as suggested by chiral effective theory. Employing the finite-volume state decomposition of Euclidean correlators, we systematically investigate the volume dependence and identify the different volume scalings depending on the volume and Euclidean-time region. Using phenomenological inputs for π π phase shift and the timelike pion form factor, we obtain an estimate for the finite-volume effects on a μ HVP , LO , which is consistent with previous works. Numerical results are given for the “window” observables of a μ .

Source: Physical review. D/Physical review. D.

DOI: 10.1103/2swb-krdz

Authors: Sakura Itatani, Hidenori Fukaya, Shoji Hashimoto

Institutions: The Graduate University for Advanced Studies, SOKENDAI, The University of Osaka, High Energy Accelerator Research Organization, Institute of Particle and Nuclear Studies

Language: English

Topic: Quantum Chromodynamics and Particle Interactions

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

Funders: Ministry of Education, Culture, Sports, Science and Technology, Japan Society for the Promotion of Science

Awards: G2165721716, Nonperturbative computation of B meson inclusive decays using lattice Quantum Chromodynamics