关于2 HDM的Higgs扇区的三圈RGE
On three-loop RGE for the Higgs sector of 2HDM
摘要：
本文讨论了一般双Higgs双重模型（2 HDM）中Higgs扇区参数的重整化群方程（RGE）。我们提出了三个循环的结果，但只考虑由于自耦合的希格斯双重的贡献。我们研究了RGE的结构，并表示β-函数的重参数化不变量相对于希格斯基旋转。利用Cayley-Hamilton定理将矩阵RGE中独立张量结构的个数和不变量的个数降到最小。作为我们计算的一个副产品，我们发现，在一般的QFT中，具有多个higgses的标量扇区的双环RGE在一些公共软件包中没有正确实现。当允许标量扇区混合时，后者会导致错误的结果。
英文摘要：
We discuss renormalization group equations (RGE) for the parameters of the Higgs sector in general Two-Higgs-Doublet Model (2HDM). We present the three-loop results but consider only contributions due to self-couplings of the Higgs doublets. We study the structure of RGE and express beta-functions in terms of reparametrization invariants with respect to higgs-basis rotations. The Cayley-Hamilton theorem is utilized to reduce both the number of independent tensor structures in matrix RGE and the number of invariants to a minimal set. As a by-product of our calculation we discovered that two-loop RGE of the scalar sector in general QFT with multiple higgses were not properly implemented in a number of public packages. The latter give rise to a wrong result when mixing in the scalar sector is allowed.
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