Probing the hyperbolic branch/focus point region of the constrained minimal supersymmetric standard model with generalized Yukawa quasi-unification

TL;DR

This study explores the parameter space of a constrained supersymmetric model with Yukawa quasi-unification, identifying regions compatible with dark matter, collider, and Higgs constraints, and highlighting potential detectability of the lightest sparticle.

Contribution

It introduces a generalized Yukawa quasi-unification condition within the CMSSM, analyzing its implications for dark matter and collider phenomenology with milder fine-tuning requirements.

Findings

Allowed parameter space with specific A_0/M_{1/2} ratios

Lightest sparticle mass range (0.09-1.1 TeV)

Potential detectability by current dark matter experiments

Abstract

We analyze the parametric space of the constrained minimal supersymmetric standard model with mu>0 supplemented by a generalized asymptotic Yukawa coupling quasi-unification condition which yields acceptable masses for the fermions of the third family. We impose constraints from the cold dark matter abundance in the universe and its direct detection experiments, the B-physics, as well as the masses of the sparticles and the lightest neutral CP-even Higgs boson. Fixing the mass of the latter to its central value from the LHC and taking 40<=tanbeta<=50, we find a relatively wide allowed parameter space with -11<=A_0/M_{1/2}<=15 and mass of the lightest sparticle in the range (0.09-1.1) TeV. This sparticle is possibly detectable by the present cold dark matter direct search experiments. The required fine-tuning for the electroweak symmetry breaking is much milder than the one needed in the neutralino-stau coannihilation region of the same model.