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双圈次领头阶(NNLO)下玻色子对宇称不守恒莫勒散射的贡献

Bosonic Contribution to Parity-Violating Møller Scattering at NNLO

Lisong Chen, Jens Erler, Ayres Freitas, Juhun Kwak

arXiv 2610.12287首次发表:更新:

发表机构

Johannes Gutenberg-University; University of Pittsburgh(约翰内斯·古腾堡大学; 匹兹堡大学)

机构由 AI 辅助整理,请以论文原文为准。

AI 中文总结

该研究计算低能宇称不守恒莫勒散射的双圈玻色子虚电弱修正,用区域展开法获解析结果,其使电子有效弱电荷偏移0.3%,评估MOLLER实验纯玻色子贡献的理论不确定度约0.1%。

AI 中文摘要

我们计算了低能下宇称不守恒莫勒(Møller)散射的主导玻色子双圈虚电弱修正。从极化不对称性中提取电子有效弱电荷,保留所有相对于树图阶贡献被(1-4sin²θ_W)⁻¹或ln²(M_{W,Z}²/Q²)增强的贡献。在Q²≪M_{W,Z}²的低能极限下,利用区域展开法获得解析结果。在该近似下,主导的双圈玻色子修正使电子有效弱电荷(或等效的极化不对称性)偏移0.3%。我们研究了该结果主导贡献的起源,并评估了纯玻色子贡献对MOLLER实验的剩余理论不确定度约为0.1%。

英文摘要

We calculate the dominant bosonic two-loop virtual electroweak corrections to parity-violating Møller scattering at low energies. The electron effective weak charge is extracted from the polarization asymmetry, retaining all contributions that are enhanced by $(1-4\sin^2θ_W)^{-1}$ or $\ln^2(M_{W,Z}^2/Q^2)$ relative to the tree-level contribution. Analytical results are obtained using the expansion by regions method in the low-energy limit $Q^2\ll M_{W,Z}^2$. Within this approximation, the dominant two-loop bosonic corrections shift the electron effective weak charge (or equivalently the polarization asymmetry) by $0.3\%$. We examine the origin of the leading contributions to this result and assess the remaining theoretical uncertainty from purely bosonic contributions for the MOLLER experiment to about 0.1%.

论文原文

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