Spontaneous SUSY breaking without R symmetry in supergravity

Nobuhiro Maekawa,Yuji Omura,Manabu Yoshida,Yoshihiro Shigekami

doi:10.1103/physrevd.97.055015

Nobuhiro Maekawa, Yuji Omura + Show 2 more

Open Access

https://doi.org/10.1103/physrevd.97.055015

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Abstract

We discuss spontaneous supersymmetry (SUSY) breaking in a model with an anomalous $U(1)_A$ symmetry. In this model, the size of the each term in the superpotential is controlled by the $U(1)_A$ charge assignment and SUSY is spontaneously broken via the Fayet-Iliopoulos of $U(1)_A$ at the meta-stable vacuum. In the global SUSY analysis, the gaugino masses become much smaller than the sfermion masses, because an approximate R-symmetry appears at the SUSY breaking vacuum. In this paper, we show that gaugino masses can be as large as gravitino mass, taking the supergravity effect into consideration. This is because the R-symmetry is not imposed so that the constant term in the superpotential, which is irrelevant to the global SUSY analysis, largely contributes to the soft SUSY breaking terms in the supergravity. As the mediation mechanism, we introduce the contributions of the field not charged under $U(1)_A$ and the moduli field to cancel the anomaly of $U(1)_A$. We comment on the application of our SUSY breaking scenario to the GUT models.

Highlights

The conditions for spontaneous supersymmetry (SUSY) breaking have been pointed out in the literatures [1,2]
In the global SUSY analysis, the gaugino masses become much smaller than the sfermion masses, because an approximate R symmetry appears at the SUSY breaking vacuum
The R symmetry seems to play an important role in the SUSY breaking, but it causes the massless Goldstone boson and prevents generating the nonvanishing gaugino masses

Summary

INTRODUCTION

The conditions for spontaneous supersymmetry (SUSY) breaking have been pointed out in the literatures [1,2]. In the supergravity (SUGRA), R symmetry can be broken by constant term in the superpotential without changing the arguments in global SUSY (and in many cases, it needs to obtain Minkowski space-time [3]), and it gives the R axion massive [4]. Once such a R symmetry breaking term is introduced, we have no reason to keep R symmetry only in SUSY breaking sector.

REVIEW OF SUSY BREAKING MODEL WITHOUT R SYMMETRY

SUGRA EFFECTS

SUMMARY AND DISCUSSION