Leading two-loop corrections to the Higgs boson masses in SUSY models with Dirac gauginos

TL;DR

This paper presents the first explicit two-loop calculations of Higgs boson masses in supersymmetric models with Dirac gauginos, using effective-potential techniques and considering various mass schemes.

Contribution

It provides detailed two-loop corrections to Higgs masses in SUSY models with Dirac gauginos, including new formulas and comprehensive analysis beyond MSSM and NMSSM.

Findings

First two-loop Higgs mass calculations in Dirac gaugino SUSY models.

Provides explicit formulas and numerical results for MDGSSM and MRSSM.

Offers approximate formulas valid in the decoupling limit.

Abstract

We compute the two-loop O(as*at) corrections to the Higgs boson masses in supersymmetric extensions of the Standard Model with Dirac gaugino masses. We rely on the effective-potential technique, allow for both Dirac and Majorana mass terms for the gluinos, and compute the corrections in both the DRbar and on-shell renormalisation schemes. We give detailed results for the MDGSSM and the MRSSM, and simple approximate formulae valid in the decoupling limit for all currently-studied variants of supersymmetric models with Dirac gluinos. These results represent the first explicit two-loop calculation of Higgs boson masses in supersymmetric models beyond the MSSM and the NMSSM.