Burgeoning the Higgs mass to 125 GeV through messenger-matter interactions in GMSB models

TL;DR

This paper explores how messenger-matter interactions in GMSB models can naturally raise the Higgs mass to 125 GeV while keeping superpartner spectra accessible to collider experiments, addressing naturalness issues.

Contribution

It systematically constructs and analyzes messenger-matter interaction terms in GMSB models with various SU(5) representations, demonstrating their potential to enhance the Higgs mass.

Findings

Messenger-matter interactions can effectively increase the Higgs mass.

Certain models maintain a light soft spectrum compatible with collider constraints.

Flavor frameworks suppress FCNC, ensuring model viability.

Abstract

A 125 GeV Higgs renders the simpler GMSB models unnatural, essentially pushing the soft spectrum beyond the LHC reach. A direct coupling of the matter and messenger fields, that facilitates an enhanced mixing in the squark sector, is a way to ameliorate this deficiency. We construct all possible messenger-matter interaction terms considering the messenger multiplets in 1, 5 and 10 dimensional representations of the SU(5). A Froggatt-Nielsen like flavor framework connected with the origin of fermion mass hierarchy is utilized to control the interaction terms and suppress FCNC. We perform a detailed comparative study of the efficiency of such interaction terms to boost the Higgs mass keeping the soft spectrum light. We identify the more promising models and comment on their status in present and future collider studies.