Mazumdar, Anupam and Saikawa, Ken'ichi and Yamaguchi, Masahide and Yokoyama, Jun'ichi (2016) Possible resolution of the domain wall problem in the NMSSM. Physical Review D, 93 (2): 8. ISSN 1550-7998
1511.01905.pdf - Accepted Version
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Abstract
We discuss a possibility that the domain wall problem in the next-to-minimal supersymmetric standard model is alleviated without introducing a small explicit Z3 breaking term by analyzing the evolution of the singlet scalar field within an inflationary paradigm. The singlet scalar field which explains the μ-term tracks a time-varying minimum of the effective potential after inflation and slowly rolls down to its global minimum if there exist sufficiently large negative Hubble-induced corrections on the effective potential for the singlet field, which arise through supergravity. As a consequence, the whole Universe is confined within a single domain during and after inflation, which prevents the formation of domain walls. This will further constrain the history of the early Universe along with the Higgs-singlet coupling.