Gauge mediation scenario with hidden sector renormalization in MSSM

Abstract

We study the hidden sector effects to the mass renormalization of a simplest gauge-mediated supersymmetry breaking scenario. We point out that possible hidden sector contributions render the soft scalar masses smaller, resulting in drastically different sparticle mass spectrum at low energy. In particular, in the 5 +5 minimal gauge mediated supersymmetry breaking with high messenger scale (that is favored by the gravitino cold dark matter scenario), we show that stau can be the next lightest superparticle for moderate values of hidden sector self coupling. This provides a very simple theoretical model of long-lived charged next lightest superparticles, that imply distinctive signals in ongoing and upcoming collider experiments.

Renormalization effects on the MSSM from a calculable model of a strongly coupled hidden sector

“…It turns out that our model is sufficiently non-trivial and has various intriguing features. For example, as we will see, the hidden sector contribution to the MSSM RG equations can be positive or negative, depending on couplings between the hidden sector and the messenger fields; this is in contrast to the toy model studied in [3,4] where the hidden sector effects always render the soft scalar particles lighter.…”

“…If this is indeed the case it is phenomenologically very interesting, since the lightest scalar tau (stau) can easily be lighter than the bino, leading to rich implications in collider physics [4]. Furthermore, with the large anomalous dimension one may possibly solve the µ problem of the GMSB scenario [25,26].…”

“…Let us first describe generic features of hidden sector contributions to the MSSM RG flow [2,3], focusing on the GMSB scenario [4]. As SUSY is broken in the hidden sector the gauginos and scalars in the MSSM acquire masses through 1-and 2-loop corrections respectively (the 2nd and 1st terms in (32)).…”

“…In particular, it was found that the hidden sector effects can be crucial in determination of the next-lightest superparticle (NLSP) [4], with exciting implications in future collider experiments. The simple model of hidden sector (1) employed in these analyses [3,4] is a mere toy, in the sense that the SUSY is assumed to be broken via some unspecified mechanism that gives rise to a non-vanishing expectation value of the hidden sector field; in a more complete theory a hidden sector with a spontaneous SUSY breaking mechanism needs to be implemented. In fact, a natural mechanism of SUSY breaking is believed to be a dynamical one [5], where SUSY is broken by nonperturbative effects (such as instanton corrections) as the non-renormalization theorem protects SUSY perturbatively.…”

“…Recently it was pointed out that the hidden sector dynamics affects RG flows in the visible sector [1,2], and thus the hidden sector can be made visible through carefully analyzing the low energy mass spectrum of new particles. Based on this, RG analysis was performed for the constrained minimal supersymmetric standard model (cMSSM) [3] and the gauge-mediated supersymmetry breaking [4] (GMSB) scenario, both considering a simple toy model of hidden sector described by superpotential,…”