Lopsided Gauge Mediation

TL;DR

Lopsided Gauge Mediation offers a novel supersymmetry breaking framework that addresses the $$-$B_$ problem, predicts distinctive phenomenology, and maintains gauge coupling unification despite new interactions.

Contribution

It introduces a new class of models called Lopsided Gauge Mediation that naturally generates large $B_$ and Higgs-sector masses without extra tuning, differing from conventional gauge mediation.

Findings

Light higgsinos and large Higgs pseudoscalar mass are predicted.

Model remains perturbative up to high scales, preserving unification.

Constraints from LEP and Tevatron are satisfied.

Abstract

It has been recently pointed out that the unavoidable tuning among supersymmetric parameters required to raise the Higgs boson mass beyond its experimental limit opens up new avenues for dealing with the so called $\mu$-$B_\mu$ problem of gauge mediation. In fact, it allows for accommodating, with no further parameter tuning, large values of $B_\mu$ and of the other Higgs-sector soft masses, as predicted in models where both $\mu$ and $B_\mu$ are generated at one-loop order. This class of models, called Lopsided Gauge Mediation, offers an interesting alternative to conventional gauge mediation and is characterized by a strikingly different phenomenology, with light higgsinos, very large Higgs pseudoscalar mass, and moderately light sleptons. We discuss general parametric relations involving the fine-tuning of the model and various observables such as the chargino mass and the value of $\tan\beta$. We build an explicit model and we study the constraints coming from LEP and Tevatron. We show that in spite of new interactions between the Higgs and the messenger superfields, the theory can remain perturbative up to very large scales, thus retaining gauge coupling unification.