Two-loop Beta Function for Complex Scalar Electroweak Multiplets

Joachim Brod; Zachary Polonsky

Two-loop Beta Function for Complex Scalar Electroweak Multiplets

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arxiv 2007.13755 v2 pith:6YEYV5K4 submitted 2020-07-27 hep-ph hep-th

Joachim Brod , Zachary Polonsky This is my paper · ORCID

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keywords scalartwo-loopbetacomplexcouplingsevolutionfunctionresults

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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.

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Complete Two-loop Renormalization Group Equation of the Weinberg Operator
hep-ph 2024-11 accept novelty 7.0 of 10

The full two-loop renormalization group equation of the dimension-5 Weinberg operator in the Standard Model is derived, completing the two-loop RGE program of SMEFT up to dimension 5.

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