SO(10) Yukawa Unification after the First Run of the LHC

TL;DR

This paper investigates SO(10) Yukawa unification, fitting fermion and Higgs masses, analyzing SUSY spectra, and exploring implications for LHC phenomenology under different boundary conditions.

Contribution

It provides a comprehensive global fit of SO(10) models to recent Higgs and fermion data, considering various SUSY breaking scenarios and their collider implications.

Findings

Successful fit of Higgs mass around 125 GeV within SO(10) framework.

Distinct SUSY spectra predicted for different boundary conditions.

Implications for LHC searches based on the derived SUSY mass spectra.

Abstract

In this talk we discuss SO(10) Yukawa unification and its ramifications for phenomenology. The initial constraints come from fitting the top, bottom and tau masses, requiring large $\tan\beta \sim 50$ and particular values for soft SUSY breaking parameters. We perform a global $\chi^2$ analysis, fitting the recently observed `Higgs' with mass of order 125 GeV in addition to fermion masses and mixing angles and several flavor violating observables. We discuss two distinct GUT scale boundary conditions for soft SUSY breaking masses. In both cases we have a universal cubic scalar parameter, $A_0$. In the first case we consider universal gaugino masses, and universal scalar masses, $m_{16}$, for squarks and sleptons; while in the latter case we have non-universal gaugino masses and either universal scalar masses, $m_{16}$, for squarks and sleptons or D-term splitting of scalar masses. We discuss the spectrum of SUSY particle masses and consequences for the LHC.