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μ子的反常磁矩：晶格量子色动力学计算的现状

The anomalous magnetic moment of the muon: status of lattice QCD calculations.

作者信息

Gérardin Antoine

机构信息

Aix Marseille Univ, Université de Toulon, CNRS, CPT, Marseille, France.

出版信息

Eur Phys J A Hadron Nucl. 2021;57(4):116. doi: 10.1140/epja/s10050-021-00426-7. Epub 2021 Apr 6.

DOI:10.1140/epja/s10050-021-00426-7
PMID:33841046
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC8023536/
Abstract

In recent years, the anomalous magnetic moment of the muon has triggered a lot of activity in the lattice QCD community because a persistent tension of about is observed between the phenomenological estimate and the Brookhaven measurement. The current best phenomenological estimate has an uncertainty comparable to the experimental one and the error is completely dominated by hadronic effects: the leading order hadronic vacuum polarization (HVP) contribution and the hadronic light-by-light (HLbL) scattering contribution. Both are accessible via lattice simulations and a reduction of the error by a factor 4 is required in view of the forthcoming experiments at Fermilab and J-PARC whose results, expected in the next few years, should reduce the experimental precision down to the level of 0.14 ppm. In this article, I review the status of lattice calculations of those quantities, starting with the HVP. This contribution has now reached sub-percent precision and requires a careful understanding of all sources of systematic errors. The HLbL contribution, that is much smaller, still contributes significantly to the error. This contribution is more challenging to compute, but rapid progress has been made on the lattice in the last few years.

摘要

近年来，μ子的反常磁矩在格点量子色动力学（lattice QCD）领域引发了大量研究活动，因为在唯象学估计值与布鲁克海文国家实验室（Brookhaven）的测量值之间观察到了约 的持续偏差。当前最佳的唯象学估计值的不确定性与实验值相当，且误差完全由强子效应主导：主导阶强子真空极化（HVP）贡献和强子轻子对轻子（HLbL）散射贡献。这两者都可以通过格点模拟得到，鉴于费米实验室（Fermilab）和日本质子加速器研究中心（J-PARC）即将进行的实验，预计在未来几年得到的结果将把实验精度降低到 0.14 ppm 的水平，因此需要将误差降低四倍。在本文中，我将从 HVP 开始回顾这些量的格点计算现状。这一贡献现在已达到亚百分比精度，需要仔细理解所有系统误差来源。小得多的 HLbL 贡献仍对误差有显著影响。这一贡献的计算更具挑战性，但在过去几年里，格点计算已取得了快速进展。

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4
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