Triple and Quartic Interactions of Higgs Bosons in the General Two-Higgs-Doublet Model

TL;DR

This paper derives comprehensive Feynman rules for Higgs boson interactions, including triple and quartic couplings, within a general two-Higgs-doublet model, especially relevant for MSSM scenarios with CP violation.

Contribution

It provides a complete set of Feynman rules for Higgs interactions in the general 2HDM with CP violation, including explicit formulas for triple and quartic couplings.

Findings

Derived explicit Higgs self-couplings in terms of mixing angles and masses.

Calculated Higgs production processes at a linear collider under MSSM constraints.

Presented a compact form of Feynman rules for CP-violating scenarios.

Abstract

In the case of minimal supersymmetric extension of the Standard Model (MSSM), when the pseudoscalar Higgs boson mass is less than the supersymmetry energy scale, the effective theory at the electroweak scale is a two-Higgs-doublet model. We diagonalize the mass matrix of the general two-Higgs-doublet model, expressing Higgs boson self-couplings in terms of two mixing angles and four Higgs boson masses, and derive in a compact form the complete set of Feynman rules, including quartic couplings in the Higgs sector, for the case of CP-violating potential. Some processes of double and triple Higgs boson production at a high-energy linear collider are calculated in the case of mixing angles and scalar boson masses satisfying the MSSM constraints.