The one-loop renormalization of the MSSM Higgs sector and its application to the neutral scalar Higgs masses
A. Dabelstein
TL;DR
The paper presents a complete on‑shell one‑loop renormalization of the MSSM Higgs sector and provides full one‑loop expressions for the neutral Higgs masses, including all SUSY contributions from sfermions and gauginos. The neutral Higgs masses are obtained from the pole of the renormalized $2\times2$ Higgs propagator matrix, incorporating self energies and $h^0$–$H^0$ mixing, with dominant top/stop radiative corrections captured by the parameter $\omega_t$. The results show that radiative corrections lift the lightest Higgs mass above the tree‑level bound and can shift masses by about 2–10 GeV relative to Born‑level or simplified formulas, depending on $M_A$, $\tan\beta$, and the SUSY spectrum. The work provides a robust framework for precision predictions of MSSM Higgs phenomenology and underpins collider studies by delivering accurate mass predictions and consistent renormalization prescriptions.
Abstract
The structure of the Higgs sector in the minimal supersymmetric standard model is reviewed at the one-loop level. An on-shell renormalization scheme of the MSSM Higgs sector is presented in detail together with the complete list of formulae for the neutral Higgs masses at the one-loop level. The results of a complete one- loop calculation for the mass spectrum of the neutral MSSM Higgs bosons and the quality of simpler Born-like approximations are discussed for sfermion and gaugino masses in the range of the electroweak scale.