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arXiv 2007.13755hep-phhep-th
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复标量电弱多重态的双环Beta函数

Two-loop Beta Function for Complex Scalar Electroweak Multiplets

Joachim Brod, Zachary Polonsky

摘要:

本文给出了复标量场的可重整化四点相互作用的一般形式,给出了SU(2)的不可约表示,并导出了一组便于计算高阶辐射修正的代数恒等式。作为应用,我们计算了由标量多重态扩展的SM的双环beta函数,并给出了用群不变量表示的结果。我们的研究结果包括希格斯玻色子-入口耦合的演化,以及标量“最小暗物质“。我们提出的各种耦合的两个循环的演变的数值结果。

英文摘要:

We present the general form of the renormalizable four-point interactions of a complex scalar field furnishing an irreducible representation of SU(2), and derive a set of algebraic identities that facilitates the calculation of higher-order radiative corrections. As an application, we calculate the two-loop beta function for the SM extended by a scalar multiplet, and provide the result explicitly in terms of the group invariants. Our results include the evolution of the Higgs-portal couplings, as well as scalar "minimal dark matter". We present numerical results for the two-loop evolution of the various couplings.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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