Natural μ and Bμ in gauge mediation

Gian F Giudice,Hyung Do Kim,Riccardo Rattazzi

doi:10.1016/j.physletb.2008.01.030

Abstract

We propose a natural solution to the μ problem in gauge mediation. It relies on the logarithmic dependence of the effective Kähler potential on the messenger threshold superfield X. Thus, μ and Bμ naturally arise at one and two loops, respectively. Moreover B has the same phase as the gaugino mass and the supersymmetric CP problem is solved as well.

Highlights

Gauge mediation [1]–[4] is an attractive realization of low-energy supersymmetry which successfully explains the absence of large flavor violations
We propose a natural solution to the μ problem in gauge mediation
Since soft terms are characterized by the scale m collectively denotes the gauge couplings, eq (1) gives the phenomenologically unacceptable prediction that B is two orders of magnitude larger than m. This μ(B) problem is a characteristic of all theories in which the soft terms are derived from the original scale of supersymmetry breaking through small parameters, and it is absent in theories like gravity mediation [6]

Summary

Introduction

Gauge mediation [1]–[4] is an attractive realization of low-energy supersymmetry which successfully explains the absence of large flavor violations. ), where gSM collectively denotes the gauge couplings, eq (1) gives the phenomenologically unacceptable prediction that B is two orders of magnitude larger than m This μ(B) problem is a characteristic of all theories in which the soft terms are derived from the original scale of supersymmetry breaking through small parameters, and it is absent in theories like gravity mediation [6]. It was recently suggested [10] that strongly-interacting dynamics in the hidden sector can efficiently suppress the dimension-two soft parameter Bμ with respect to the dimensionone parameter μ, in the renormalization from high to low energies, solving the μ(B) problem In this mechanism, the characteristic mass spectrum of gauge mediation in the squark and slepton sector is completely obliterated. We want to propose a new solution to the μ(B) problem in gauge mediation

The mechanism

The model

Conclusions