Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1995-06-19
Nucl.Phys.B454:663-684,1995
Physics
High Energy Physics
High Energy Physics - Phenomenology
17 pages, plain LaTeX, figures as uu file
Scientific paper
10.1016/0550-3213(95)00483-9
We study the cosmology of the Supersymmetric Standard Model augmented by a gauge singlet to solve the $\mu$-problem and describe the evolution of the domain walls which are created during electroweak symmetry breaking due to the discrete $Z_{3}$ symmetry in this model. The usual assumption, that non-renormalizable terms induced by gravity (which explicitly break this symmetry) may cause the walls to collapse on a cosmologically safe timescale, is reconsidered. Such terms are constrained by considerations of primordial nucleosynthesis, and also by the fact that by not respecting the $Z_{3}$ symmetry they induce divergences which destabilise the hierarchy and reintroduce the $\mu$--problem. We find that, even when the K\"ahler potential is `non-minimal' (i.e. when the hidden sector couples directly to the visible) the model is either ruled out cosmologically or suffers from a naturalness problem.
Abel Steven A.
Sarkar Sourav
White Paul L.
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