论文标题
基于非线性HIGGS表示的仪表不变的真空期望值的电动重新归一化：1。标准模型
Electroweak renormalization based on gauge-invariant vacuum expectation values of non-linear Higgs representations: 1. Standard Model
论文作者
论文摘要
真空期望值参数（例如标准模型（SM）中的$ V $）的重新归一化是Electroweak重生的重要成分，在此问题中，此问题与t骨的处理有关。 t可以在拉格朗日语中以两种不同的方式生成t的反对者：在参数重归于的过程中，也可以通过HIGGS字段重新定义生成。前者通常会导致较小的校正起源于t，但通常，如果使用MSBAR重新归一化条件为质量参数，则遭受量规依赖性。后者没有规格的依赖性，但很容易受到MSBAR方案的较大校正，这危害了预测的扰动稳定性。在本文中，我们提出了一种新的t t t t型重新归一化方案，称为量规不变的真空预期价值方案（GIVS），该方案是两种提到类型的混合方案，具有独立和逆转录稳定的好处。 GIVS基于希格斯字段的量规不转变属性，以及相应的参数（如$ v $），以Higgs Multiplets的非线性表示为$ V $。我们通过讨论壳和MSBAR重生的质量之间的转换来证明SM中GIV的扰动稳定性。
The renormalization of vacuum expectation value parameters, such as $v$ in the Standard Model (SM), is an important ingredient in electroweak renormalization, where this issue is connected to the treatment of tadpoles. Tadpole counterterms can be generated in two different ways in the Lagrangian: in the course of parameter renormalization, or alternatively via Higgs field redefinitions. The former typically leads to small corrections originating from tadpoles, but in general suffers from gauge dependences if MSbar renormalization conditions are used for mass parameters. The latter is free from gauge dependences, but is prone to very large corrections in MSbar schemes, jeopardizing perturbative stability in predictions. In this paper we propose a new scheme for tadpole renormalization, dubbed Gauge-Invariant Vacuum expectation value Scheme (GIVS), which is a hybrid scheme of the two mentioned types, with the benefits of being gauge independent and perturbatively stable. The GIVS is based on the gauge-invariance property of Higgs fields, and the corresponding parameters like $v$, in non-linear representations of Higgs multiplets. We demonstrate the perturbative stability of the GIVS in the SM by discussing the conversion between on-shell and MSbar renormalized masses.
