Published for SISSA by Springer Received: May 4, 2011 Accepted: May 7, 2011 Published: May 25, 2011 Lopsided gauge mediation JHEP05(2011)112 Andrea De Simone,a Roberto Franceschini,a Gian Francesco Giudice,b Duccio Pappadopuloa and Riccardo Rattazzia aInstitut de Th´eoriedes Ph´enom`enesPhysiques, EPFL, CH-1015 Lausanne, Switzerland bCERN, Theory Division, CH-1211 Geneva 23, Switzerland E-mail:
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[email protected] Abstract: It has been recently pointed out that the unavoidable tuning among supersym- metric parameters required to raise the Higgs boson mass beyond its experimental limit opens up new avenues for dealing with the so called µ-Bµ problem of gauge mediation. In fact, it allows for accommodating, with no further parameter tuning, large values of Bµ and of the other Higgs-sector soft masses, as predicted in models where both µ and Bµ 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 β. 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.