Heavy Majorana neutrino effects on MSSM-Mh

TL;DR

This paper investigates how heavy Majorana neutrinos influence the Higgs boson mass in the MSSM through one-loop radiative corrections, revealing potentially significant negative shifts up to several tens of GeV.

Contribution

It provides the first detailed calculation of Majorana neutrino effects on MSSM Higgs mass corrections within a seesaw framework, including SUSY partners.

Findings

Heavy Majorana neutrinos can cause negative Higgs mass corrections up to -5 GeV.

Sizable corrections up to tens of GeV occur with heavy sneutrino soft masses.

Corrections depend on the Majorana and sneutrino mass scales.

Abstract

We study the effects of heavy Majorana neutrinos on the Higgs sector of the MSSM via radiative corrections. We work within the SUSY context where the MSSM particle content is enlarged with right handed neutrinos and their corresponding SUSY partners, the sneutrinos, and where compatibility with neutrino data is required. We compute the one-loop corrections to the mass of the lightest MSSM CP-even neutral Higgs boson from Majorana neutrinos and their SUSY partners and assume a seesaw mechanism of type I for neutrino mass generation. A negative and sizeable Higgs mass correction of up to -5 GeV is found for a heavy Majorana mass of up to 10^{15} GeV. This negative correction can grow up to several tens of GeV if the soft SUSY breaking mass associated to their sneutrino partners is simmilarly heavy as the Majorana mass.