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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
classification hep-phhep-th
keywords scalartwo-loopbetacomplexcouplingsevolutionfunctionresults
verification ladder T0 review T1 audit T2 compute T3 formal

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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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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. 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.

  2. The Simplest Dark Matter Model at the Edge of Perturbativity

    hep-ph 2025-05 conditional novelty 5.0 of 10

    At next-to-leading order, the real scalar singlet dark matter model is viable only for masses above about 20 TeV, and the complex scalar version is excluded in its perturbative regime.

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