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

IF 5.5 1区物理与天体物理 Q1 Physics and Astronomy

Journal of High Energy Physics Pub Date : 2025-10-17 DOI:10.1007/JHEP10(2025)157

Dominik Erb, Antoine Gérardin, Harvey B. Meyer, Julian Parrino, Volodymyr Biloshytskyi, Vladimir Pascalutsa

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引用次数: 0

Abstract

We compute the isospin-violating part \( {a}_{\mu}^{\textrm{HVP},38} \) of the hadronic-vacuum-polarization (HVP) contribution to the muon (g − 2) in lattice QCD at the SU(3)_f-symmetric point where M_π = M_K ≃ 416 MeV. All diagrams involving internal photons are evaluated in coordinate space, employing a Pauli-Villars-regulated photon propagator with a cutoff scale Λ well below the lattice cutoff. The counterterm (m_u – m_d), whose Λ dependence is consistent with the expected logarithmic behaviour, is calibrated using the experimental kaon mass splitting as input. The bare electromagnetic contribution at fixed Λ 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.

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晶格QCD中SU(3)味对称μ子（g−2）中违反同位旋的真空极化

我们计算了在Mπ = MK≃416 MeV的SU(3)f对称点，晶格QCD中强子-真空极化（HVP）对μ子（g−2）的贡献的同位旋违反部分\( {a}_{\mu}^{\textrm{HVP},38} \)。所有涉及内部光子的图都在坐标空间中进行评估，采用pauli - villars调节的光子传播子，其截止尺度Λ远低于晶格截止。对项（mu - md），其Λ依赖关系与预期的对数行为一致，使用实验kaon质量分裂作为输入进行校准。将固定Λ处的裸电磁贡献与基于kaon-loop和伪标量极对正向光振幅贡献的现象学估计进行了比较。将这些计算扩展到物理上的介子和介子质量似乎很有希望。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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来源期刊

Journal of High Energy Physics 物理-物理：粒子与场物理

CiteScore

10.30

自引率

46.30%

发文量

2107

审稿时长

1.5 months

期刊介绍： The aim of the Journal of High Energy Physics (JHEP) is to ensure fast and efficient online publication tools to the scientific community, while keeping that community in charge of every aspect of the peer-review and publication process in order to ensure the highest quality standards in the journal. Consequently, the Advisory and Editorial Boards, composed of distinguished, active scientists in the field, jointly establish with the Scientific Director the journal''s scientific policy and ensure the scientific quality of accepted articles. JHEP presently encompasses the following areas of theoretical and experimental physics: Collider Physics Underground and Large Array Physics Quantum Field Theory Gauge Field Theories Symmetries String and Brane Theory General Relativity and Gravitation Supersymmetry Mathematical Methods of Physics Mostly Solvable Models Astroparticles Statistical Field Theories Mostly Weak Interactions Mostly Strong Interactions Quantum Field Theory (phenomenology) Strings and Branes Phenomenological Aspects of Supersymmetry Mostly Strong Interactions (phenomenology).