Two-loop Beta Function for Complex Scalar Electroweak Multiplets

Understand

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.