The Maximal \(U(1)_L\) Inverse Seesaw from \(d=5\) Operator and Oscillating Asymmetric Sneutrino Dark Matter

Abstract

The maximal \(U(1)_L\) supersymmetric inverse seesaw mechanism (M\(L\)SIS) provides a natural way to relate asymmetric dark matter (ADM) with neutrino physics. In this paper we point out that, M\(L\)SIS is a natural outcome if one dynamically realizes the inverse seesaw mechanism in the next-to minimal supersymmetric standard model (NMSSM) via the dimension-five operator \((N)^2S^2/M_*\), with \(S\) the NMSSM singlet developing TeV scale VEV; it slightly violates lepton number due to the suppression by the fundamental scale \(M_*\), thus preserving \(U(1)_L\) maximally. The resulting sneutrino is a distinguishable ADM candidate, oscillating and favored to have weak scale mass. A fairly large annihilating cross section of such a heavy ADM is available due to the presence of singlet.