Two-loop Beta Function for Complex Scalar Electroweak Multiplets
High Energy Physics - Phenomenology
2020-10-28 v2 High Energy Physics - Theory
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.
Keywords
Cite
@article{arxiv.2007.13755,
title = {Two-loop Beta Function for Complex Scalar Electroweak Multiplets},
author = {Joachim Brod and Zachary Polonsky},
journal= {arXiv preprint arXiv:2007.13755},
year = {2020}
}
Comments
44 pages, 8 figures; added references, small modifications of text, added link to auxiliary files