Supersymmetry breaking induced by radiative corrections

Abstract

We show that simultaneous gauge and supersymmetry breaking can be induced by radiative corrections,à la Coleman-Weinberg. When a certain correlation among the superpotential parameters is present, a local supersymmetry-breaking minimum is induced in the effective potential of a gauge non-singlet field, in a region where the tree-level potential is almost flat. Supersymmetry breaking is then transmitted to the MSSM through gauge and chiral messenger loops, thus avoiding the suppression of gaugino masses characteristic of direct gauge mediation models. The use of a single field ensures that no dangerous tachyonic scalar masses are generated at the one-loop level. We illustrate this mechanism with an explicit example based on an SU(5) model with a single adjoint. An interesting feature of the scenario is that the GUT scale is increased with respect to standard unification, thus allowing for a larger colour Higgs triplet mass, as preferred by the experimental lower bound on the proton lifetime.

R-parity violation in SU(5)

“…The change in sign of the bino mass compared to wino mass can be obtained only by a combination of gauge messengers (which contribute negatively) with chiral messengers (which contribute positively). A naive simple computation shows that if an SU(5) adjoint breaks susy like for example in [99,100], one needs [101] 1 = (M 1 /g 2 1 ) (−3/5)(M 2 /g 2 2 )…”

Realization of a spontaneous gauge and supersymmetry breaking vacuum

“…In such models, it is an important key how gauge symmetries and supersymmetry (SUSY) break down. It is also interesting to construct models that both gauge symmetries and SUSY are broken spontaneously by the same sector and their breaking is tightly related with each other [1][2][3][4][5][6][7].…”

Towards the minimal renormalizable supersymmetric E 6 model

“…In doing this we simplify our analysis by assuming renormalizability and supersymmetry. Contrary to the approach in [24,25], we will not consider the orthogonal problem of supersymmetry breaking in our model. The simplest realistic model we were able to find is made out of 351 ′ + 351 ′ + 27 + 27, needed to break E 6 →SU(3)×SU(2)×U (1), an extra 27 + 27 to achieve the doublet-triplet splitting and so determine explicitly where the SM Higgs doublets live, and three copies of the fundamental 27 for the matter sector.…”