# Phenomenology 2014 Symposium

5-7 May 2014
University of Pittsburgh
US/Eastern timezone

## A $125$ GeV Higgs and the ${\mu}$-less MSSM

5 May 2014, 18:15
15m
Benedum Hall G30 (University of Pittsburgh)

### Speaker

Jessica Goodman (The Ohio State University)

### Description

Low energy supersymmetry (SUSY) has long been one of the most elegant frameworks for solving the hierarchy problem and extending the Standard Model (SM) beyond the electroweak scale. However the LHC has found no evidence for the existence of SUSY pushing the bounds on squark and gluino masses above $1$TeV in the simplest models. Thus it becomes necessary to consider models beyond the minimal ones. Here we will consider the ${\mu}$-less MSSM proposed by Nelson et.al. which was first introduced as a way to address the $\mu-b_\mu$ problem in SUSY models. Models with Dirac gauginos necessarily require fields which transform as adjoints under the SM. These adjoint fields, specifically the $SU(2)$ adjoint, will then couple to the Higgs doublets with a trilinear coupling in the superpotential. The adjoint scalar field then adds additional loop contributions to the Higgs mass raising the upper bound on the Higgs in a manner similar to stop loop contributions in the MSSM. We will discuss the the implications of the Higgs sector for $\mu$-less MSSM models after the Higgs discovery. These models have viable $\mu$-terms, obey electroweak precision constraints, and most importantly have a Higgs mass of $125$GeV even in the absence of A-terms.

### Primary author

Jessica Goodman (The Ohio State University)

### Co-author

Linda Carpenter (Ohio State University)

 Slides