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On the Cosmological Domain Wall Problem for the Minimally Extended Supersymmetric Standard Model

S. A. Abel·S. Sarkar·P. L. White
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Abstract

We study the cosmology of the Supersymmetric Standard Model augmented by a gauge singlet to solve the $μ$-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 $μ$--problem. We find that, even when the Kähler 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.

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S. A. Abel, S. Sarkar, P. L. White. 1995-06-19. On the Cosmological Domain Wall Problem for the Minimally Extended Supersymmetric Standard Model. https://doi.org/10.1016/0550-3213(95)00483-9

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