The $μ$-Problem in Theories with Gauge-Mediated Supersymmetry Breaking

Details The $μ$-Problem in Theories with Gauge-Mediated Supersymmetry Breaking The $μ$-Problem in Theories with Gauge-Mediated Supersymmetry Breaking

1996-03-06

arxiv.org/abs/hep-ph/9603238v1

Nucl.Phys.B478:31-45,1996

Physics

High Energy Physics

High Energy Physics - Phenomenology

18 pages, 2 figures

Scientific paper

10.1016/0550-3213(96)00404-X

We point out that the $\mu$-problem in theories in which supersymmetry breaking is communicated to the observable sector by gauge interactions is more severe than the one encountered in the conventional gravity-mediated scenarios. The difficulty is that once $\mu$ is generated by a one-loop diagram, then usually $\bmu$ is also generated at the same loop order. This leads to the problematic relation $\bmu \sim \mu \Lambda$, where $\Lambda \sim$ 10--100 TeV is the effective supersymmetry-breaking scale. We present a class of theories for which this problem is naturally solved. Here, without any fine tuning among parameters, $\mu$ is generated at one loop, while $\bmu$ arises only at the two-loop level. This mechanism can naturally lead to an interpretation of the Higgs doublets as pseudo-Goldstone bosons of an approximate global symmetry.

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