Abstract
One of the interesting properties of the NMSSM is that it can accommodate a light pseudoscalar of order 10 GeV. However, such scenarios are challenged by several experimental constraints, especially those related to the fermionic decays of the pseudoscalar. In this Letter, we extend the NMSSM field content by two gauge singlets, with lepton numbers +1 and −1. This serves the twin purpose of generating neutrino masses via the inverse seesaw mechanism and keeping the option of a very light pseudoscalar experimentally viable by opening dominant invisible decay channels of the pseudoscalar which help it evade the existing bounds.
Highlights
One of the interesting properties of the Next to Minimal Supersymmetric Standard Model (NMSSM) is that it can accommodate a light pseudoscalar of order 10 GeV
In the NMSSM, the μ parameter is linked to the vacuum expectation value (VEV) of the scalar component of Swhose size is of the order of the supersymmetry breaking scale [1]
By providing an additional tree level contribution to the quartic term of the scalar potential it can ameliorate the ‘little hierarchy problem’ of the MSSM, which is related to the requirement of a large (≫ MZ ) soft supersymmetry breaking mass that can push the mass of the lightest neutral Higgs beyond the LEP-2 limit of 114 GeV [2]
Summary
One of the interesting properties of the NMSSM is that it can accommodate a light pseudoscalar of order 10 GeV. The main objective of this Letter is to improve the experimental viability of such a light pseudoscalar by providing it with a dominant invisible decay mode in a minimal extension of the NMSSM which contains a source of lepton number violation that yields an acceptable neutrino mass.
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