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

TL;DR

This paper introduces a natural realization of the maximal $U(1)_L$ inverse seesaw mechanism within the NMSSM, linking asymmetric dark matter with neutrino physics through a dimension-five operator, resulting in a distinguishable oscillating sneutrino dark matter candidate.

Contribution

It demonstrates that the maximal $U(1)_L$ inverse seesaw can naturally emerge from the NMSSM via a specific dimension-five operator, connecting neutrino mass generation with asymmetric dark matter.

Findings

Sneutrino is a viable oscillating asymmetric dark matter candidate.

Heavy ADM with weak scale mass is favored due to the singlet's presence.

Large annihilation cross section is achievable for the ADM candidate.

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.