Higgs Boson Masses in the MSSM with Heavy Majorana Neutrinos

TL;DR

This paper computes one-loop corrections to the Higgs boson mass in the MSSM with heavy Majorana neutrinos, revealing significant effects especially at high Majorana scales, which could impact collider measurements.

Contribution

It provides a full diagrammatic calculation of neutrino/sneutrino sector corrections to Higgs masses in the MSSM-seesaw model, including parameter dependence and numerical analysis.

Findings

Corrections to Mh can be large and negative at high Majorana scales.

Heavy Majorana neutrinos significantly influence Higgs mass predictions.

Some corrections exceed expected LHC measurement precision.

Abstract

We present a full diagrammatic computation of the one-loop corrections from the neutrino/sneutrino sector to the renormalized neutral CP-even Higgs boson self-energies and the lightest Higgs boson mass, Mh, within the context of the so-called MSSM-seesaw scenario. This consists of the Minimal Supersymmetric Standard Model with the addition of massive right handed Majorana neutrinos and their supersymmetric partners, and where the seesaw mechanism is used for the lightest neutrino mass generation. We explore the dependence on all the parameters involved, with particular emphasis in the role played by the heavy Majorana scale. We restrict ourselves to the case of one generation of neutrinos/sneutrinos. For the numerical part of the study, we consider a very wide range of values for all the parameters involved. We find sizeable corrections to Mh, which are negative in the region where the Majorana scale is large (10^{13}-10^{15} GeV) and the lightest neutrino mass is within a range inspired by data (0.1-1 eV). For some regions of the MSSM-seesaw parameter space, the corrections to Mh are substantially larger than the anticipated Large Hadron Collider precision.