Big-bang nucleosynthesis through bound-state effects with a long-lived slepton in the NMSSM

Kazunori Kohri, Masafumi Koike, Yasufumi Konishi, Shingo Ohta, Joe Sato, Takashi Shimomura, Kenichi Sugai, Masato Yamanaka

Published 2014-03-06, updated 2014-03-11Version 2

We show that the Li problems can be solved in the next-to-minimal supersymmetric standard model where the slepton as the next-to-lightest SUSY particle is very long-lived. Such a long-lived slepton induces exotic nuclear reactions in big-bang nucleosynthesis, and destroys and produces the $^7$Li and $^6$Li nuclei via bound state formation. We study cases where the lightest SUSY particle is singlino-like neutralino and bino-like neutralino to present allowed regions in the parameter space which is consistent with the observations on the dark matter and the Higgs mass.