Feynman Rules in the Two-Higgs Doublet Model Effective Field Theory

TL;DR

This paper derives comprehensive Feynman rules for the two-Higgs doublet model effective field theory, including effects of dimension-six operators, and provides a computational package for practical calculations.

Contribution

It presents a complete set of Feynman rules for the general two-Higgs doublet model EFT, covering various limits and types, with a new FeynRules package for calculations.

Findings

Derived Feynman rules for the EFT including dimension-six operators

Calculated Higgs spectrum and couplings in various limits

Provided a computational package for practical use

Abstract

We derive a complete set of Feynman rules in the general two-Higgs doublet model effective field theory where the effects of additional new physics are parametrized by operators up to mass dimension-six. We calculate the physical Higgs spectrum, contributions to the couplings and masses of electroweak gauge bosons and fermions, and all contact interactions arising from dimension-six operators. We also present results in specific limits and types, which include the $CP$-conserving limit, alignment limit, and the four types of two-Higgs doublet models: type-I, -II, -X, and -Y. We discuss the differences between the two-Higgs doublet model effective field theory and the renormalizable two-Higgs doublet model or the standard model effective field theory. We create a FeynRules model package for calculating all Feynman rules in the general effective field theory and its specific limits and types.