A Fourth Chiral Generation And Susy Breaking

TL;DR

This paper examines the implications of a fourth chiral generation on supersymmetry, revealing that perturbativity constraints limit the scale of new physics and challenge minimal gauge mediation models.

Contribution

It analyzes the perturbativity limits of fourth generation Yukawa couplings and explores the compatibility with gauge mediated supersymmetry breaking.

Findings

Perturbativity is limited to around 1000 TeV for realistic fourth generation masses.

Minimal gauge mediation models face strong constraints and are largely ruled out.

Electroweak symmetry breaking issues exclude large parameter regions, and the remaining have tachyonic staus.

Abstract

We revisit four generations within the context of supersymmetry. We compute the perturbativity limits for the fourth generation Yukawa couplings and show that if the masses of the fourth generation lie within reasonable limits of their present experimental lower bounds, it is possible to have perturbativity only up to scales around 1000 TeV, i.e. the current experimental bounds and perturbative unification are mutually exclusive. Such low scales are ideally suited to incorporate gauge mediated supersymmetry breaking, where the mediation scale can be as low as 10-20 TeV. The minimal messenger model, however, is highly constrained. Lack of electroweak symmetry breaking rules out a large part of the parameter space, and in the remaining part, the fourth generation stau is tachyonic.