Pure Gravity Mediation and Spontaneous B-L Breaking from Strong Dynamics
release_3bmncyl7lfadhotmgu76e3ldmq
by
Kaladi S. Babu, Kai Schmitz, Tsutomu T. Yanagida
2015
Abstract
In pure gravity mediation (PGM), the most minimal scheme for the mediation of
supersymmetry (SUSY) breaking to the visible sector, soft masses for the
standard model gauginos are generated at one loop rather than via direct
couplings to the SUSY-breaking field. In any concrete implementation of PGM,
the SUSY-breaking field is therefore required to carry nonzero charge under
some global or local symmetry. As we point out in this note, a prime candidate
for such a symmetry might be B-L, the Abelian gauge symmetry associated with
the difference between baryon number B and lepton number L. The F-term of the
SUSY-breaking field then not only breaks SUSY, but also B-L, which relates the
respective spontaneous breaking of SUSY and B-L at a fundamental level. As a
particularly interesting consequence, we find that the heavy Majorana neutrino
mass scale ends up being tied to the gravitino mass, Lambda_N ~ m_3/2. Assuming
nonthermal leptogenesis to be responsible for the generation of the baryon
asymmetry of the universe, this connection may then explain why SUSY
necessarily needs to be broken at a rather high energy scale, so that m_3/2 >~
1000 TeV in accord with the concept of PGM. We illustrate our idea by means of
a minimal model of dynamical SUSY breaking, in which B-L is identified as a
weakly gauged flavor symmetry. We also discuss the effect of the B-L gauge
dynamics on the superparticle mass spectrum as well as the resulting
constraints on the parameter space of our model. In particular, we comment on
the role of the B-L D-term.
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