Higgs mass from neutrino-messenger mixing

TL;DR

This paper investigates how messenger-matter mixing in extended gauge mediation models, especially with inverse-seesaw neutrino mechanisms, can naturally produce a 125 GeV Higgs without requiring very heavy sfermions, by classifying models and analyzing their viability.

Contribution

It extends previous models by including inverse-seesaw neutrino-messenger mixing, classifies all possible messenger-matter interactions, and identifies models that achieve the correct Higgs mass with lighter superpartners.

Findings

9 out of 17 models can produce a 125 GeV Higgs without heavy sfermions.

Successful models have stop masses around 1.5 TeV with minimal mixing.

Neutrino-sneutrino corrections are significant only with messenger-matter interactions.

Abstract

The discovery of the Higgs particle at 125 GeV has put strong constraints on minimal messenger models of gauge mediation, pushing the stop masses into the multi-TeV regime. Extensions of these models with matter-messenger mixing terms have been proposed to generate a large trilinear parameter, $A_t$, relaxing these constraints. The detailed survey of these models \cite{Byakti:2013ti,Evans:2013kxa} so far considered messenger mixings with only MSSM superfields. In the present work, we extend the survey to MSSM with inverse-seesaw mechanism. The neutrino-sneutrino corrections to the Higgs mass in the inverse seesaw model are not significant in the minimal gauge mediation model, unless one considers messenger-matter interaction terms. We classify all possible models with messenger-matter interactions and perform thorough numerical analysis to find out the promising models. We found that out of the 17 possible models 9 of them can lead to Higgs mass within the observed value without raising the sfermion masses significantly. The successful models have stop masses $\sim $1.5 TeV with small or negligible mixing and yet a light CP even Higgs at 125 GeV.