Can the Supersymmetric $μ$ parameter be generated dynamically without a light Singlet?

Details Can the Supersymmetric $μ$ parameter be generated dynamically without a light Singlet? Can the Supersymmetric $μ$ parameter be generated dynamically without a light Singlet?

1994-04-12

arxiv.org/abs/hep-ph/9404257v1

Phys.Lett. B329 (1994) 222-224

Physics

High Energy Physics

High Energy Physics - Phenomenology

6 pages, phyzzx, DESY 94-061

Scientific paper

10.1016/0370-2693(94)90764-1

It is generally assumed that the dynamical generation of the Higgs mass parameter of the superpotential, $\mu$, implies the existence of a light singlet at or below the supersymmetry breaking scale, $\msusy$. We present a counter-example in which the singlet field can receive an arbitrarily heavy mass (\eg, of the order of the Planck scale, $M_{\rm P}\approx 10^{19}~\gev$). In this example, a non-zero value of $\mu$ is generated through soft supersymmetry breaking parameters and is thus naturally of the order of $\msusy$.

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