发表机构
INFN, Sezione di Milano（意大利国家核物理研究所米兰分部）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
本文在BMHV方案下计算大质量阿贝尔手征规范理论中ST恒等式的一圈破坏，并给出恢复对称性所需的一圈抵消项，利用FMS规范不变场和上同调方法分解破坏并约束Higgs真空期望值依赖，结果与文献一致。
AI 中文摘要
我们计算了在 Breitenlohner-Maison-`t Hooft-Veltman (BMHV) 方案中正则化的、具有自发对称破缺的大质量阿贝尔手征规范理论中 Slavnov-Taylor (ST) 恒等式的一圈破坏。我们还提供了恢复一圈 ST 恒等式所需的一圈有限抵消项。我们使用了基于 Fröhlich-Morchio-Strocchi (FMS) 规范不变且动力学（即在圈内传播）场的自发破缺模型的最新表述。所提出的代数方法在圈展开的所有阶都成立，并允许将 ST 破坏一致地分解为独立的扇区。通过使用上同调技术，我们最终约束了 ST 破坏对 Higgs 场真空期望值的依赖。这产生了一组微分方程，为破缺相中 ST 破坏项中质量相关项提供了有用的检验。这些方程可以推广到非阿贝尔情形，既适用于规范不变形式，也适用于传统形式。在无质量极限下，我们与文献中先前的计算结果一致。
英文摘要
We compute the one-loop breaking of the Slavnov-Taylor (ST) identities in a massive Abelian chiral gauge theory with spontaneous symmetry breaking, regularized in the Breitenlohner-Maison-`t Hooft-Veltman (BMHV) scheme. We also provide the one-loop finite counter-terms required to restore the one-loop ST identities. The recent formulation of spontaneously broken models based on the Fröhlich-Morchio-Strocchi (FMS) gauge-invariant and dynamical (i.e. propagating inside loops) fields is used. The proposed algebraic approach holds true to all orders in the loop expansion and allows for a consistent decomposition of the ST breaking into independent sectors. By using cohomological techniques we eventually constrain the dependence of the ST breaking on the vacuum expectation value of the Higgs field. This yields a set of differential equations that provide a useful check of the mass-dependent terms in the ST breaking terms in the broken phase. They can be generalized to the non-Abelian case, both in the gauge-invariant formalism and in the conventional one. In the massless limit we find agreement with previous calculations present in the literature.
Comments46 pages, one figure
