具有非反对易γ5的维数正规化：现状及在标准模型中的应用
Dimensional Regularisation with Non-Anticommuting $γ_5$: Status and Application to the Standard Model
浏览论文内容
中文总结 AI 辅助
研究具有非反对易γ5的维数正规化，介绍BMHV方案，涵盖从D维实现到4圈阶的多圈行为，以及其在标准模型完整1圈重整化中的应用，包括发散和有限的对称性恢复抵消项。
中文摘要 AI 辅助
在维数正规化（DReg）中，由Breitenlohner-Maison/'t Hooft-Veltman（BMHV）方案提供的对γ5的一致全阶处理，对于高精度电弱计算至关重要，但代价是正则化引起的规范和BRST不变性的违反，必须通过对称性恢复抵消项来恢复。我们报告了关于BMHV方案的研究现状，从其D维实现及其多圈行为直至4圈阶，到其最新应用：标准模型（SM）的完整1圈重整化，包括发散和有限的对称性恢复抵消项。对于后者，我们讨论了BMHV处理的主要复杂性，并给出了所得抵消项的一个代表性摘录。
英文摘要
A consistent all-order treatment of $γ_5$ in dimensional regularisation (DReg), as provided by the Breitenlohner-Maison/'t Hooft-Veltman (BMHV) scheme, is essential for high-precision electroweak calculations, but comes at the cost of a regularisation-induced violation of gauge and BRST invariance that must be reinstated via symmetry-restoring counterterms. We report on the current status of our research on the BMHV scheme, from its $D$-dimensional realisation and its multi-loop behaviour up to the 4-loop order, to its most recent application: the complete 1-loop renormalisation of the Standard Model (SM), including both divergent and finite symmetry-restoring counterterms. For the latter, we discuss the main intricacies of the BMHV treatment and present a representative excerpt of the resulting counterterms.
