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DOE OSTI · 1706704

Two-loop beta function for complex scalar electroweak multiplets

Brod, Joachim·Polonsky, Zachary
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Abstract

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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Brod, Joachim, Polonsky, Zachary. 2020-09-24. Two-loop beta function for complex scalar electroweak multiplets. https://doi.org/10.1007/jhep09(2020)158

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