Non-Holomorphic Soft-Term Contributions to the Higgs-Boson Masses in the Feynman Diagrammatic Approach

TL;DR

This paper investigates the impact of non-holomorphic soft SUSY-breaking terms on Higgs-boson masses within the MSSM using a one-loop Feynman diagrammatic approach, finding small effects on the light Higgs but potentially large effects on heavier Higgs states.

Contribution

It provides a detailed one-loop calculation of non-holomorphic soft-term effects on Higgs masses in the MSSM, clarifying their significance across parameter space.

Findings

Small contributions to the light Higgs mass $M_h$ contrary to previous claims.

Potentially large effects on the heavy Higgs mass $M_H$ and charged Higgs mass $M_{H^{ iny ext{±}}}$ in certain parameter regions.

Methodology combines FeynArts, SARAH, FeynHiggs for comprehensive analysis.

Abstract

We study the effects of non-holomprphic soft SUSY-breaking terms added to the Minimal Supersymmetric Standard Model (MSSM) on the Higgs-boson masses. The calculation of the non-holomorphic contributions is perfromed at the one-loop level in the Feynman diagramatic approach. After generating a FeynArts model file with the help of SARAH, we calculate the renormalized Higgs-boson self-energies at the one-loop level using the FeynArts/FormCalc setup. The results obtained from FeynArts/FormCalc are fed to FeynHiggs to estimate the contributions to the neutral CP-even Higgs-boson masses, $M_{h,H}$, as well as to the charged Higgs-boson mass, $M_{H^{\pm}}$. For the specific set of parameter points that we choose for this study, the non-holomorphic soft-term contributions to the CP-even light Higgs boson mass $M_h$, contrary to claims in the literature, turn out to be very small. For the CP-even heavy Higgs boson mass, $M_{H}$, as well as for the charged Higgs boson mass, $M_{H^{\pm}}$, the contributions can be substantially larger for some parts of parameter space.