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Dynamically solving the μ/Bμ problem in gauge-mediated supersymmetry breaking

Tao Liu1 and Carlos E.M. Wagner1,2,3

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We provide a simple solution to the μ/Bμ problem in the gauge-mediated Next-to-Minimal Supersymmetric Standard Model. In this model the messenger sector contains one pair of 3+bar 3 and one pair of 2+bar 2 messengers. These two messenger pairs couple to different gauge singlets in the hidden sector in which supersymmetry (SUSY) is broken. Such a gauge-mediation structure can naturally arise in many backgrounds. Because of the two effective SUSY breaking scales langleFirangle/langleMirangle in the messenger sector, the renormalization group evolutions of the soft SUSY breaking parameters can be properly modified, leading to a negative enough singlet soft mass square mN2EW) and hence reasonable μ/Bμ values. In most of the perturbative (up to the GUT scale) parameter region, as a result, the electroweak scale is stabilized and phenomenologically interesting mass spectra of particles and superparticles are obtained. In addition, this model favors large values of tan β: 5 ~ 50 and a heavy scalar spectrum. With the relatively large tan β, the light U(1)R pseudoscalar (mainly appearing in the low-scale gauge-mediated SUSY breaking models) becomes extremely singlet-like, and is no longer a problem in this model. These features apply to all cases of low-, intermediate- and high-scale gauge-mediated SUSY breaking.

Keywords

Supersymmetry Breaking

Supersymmetry Phenomenology

Supersymmetric Effective Theories

 

E-print Number: 0803.2895

Cited: by |

Refers: to

PACS

12.60.Jv Supersymmetric models

11.10.Gh Renormalization

11.30.Pb Supersymmetry

11.30.Qc Spontaneous and radiative symmetry breaking

Subjects

Particle physics and field theory

Dates

Issue 06 (June 2008)

Received 11 April 2008, accepted for publication 3 June 2008

Published 19 June 2008



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