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

TL;DR

The paper addresses how to connect asymmetric dark matter with neutrino masses by realizing a maximal $U(1)_L$ inverse seesaw (M$L$SIS) within the NMSSM. It introduces a dimension-five operator $(N)^2 S^2/M_*$, realized with a TeV-scale singlet $S$ to generate $m_N$ and $M_N$ while preserving $U(1)_L$, leading to a light sneutrino ADM that can oscillate and maintain the ADM framework. A tentative UV completion with a heavy singlet $\Phi$ explains the origin of the operator and sets the effective cutoff $M_*$, while the NMSSM singlet also enhances DM annihilation of the symmetric component. The phenomenology includes viable weak-scale sneutrino DM with calculable CVS constraints, suppressed direct detection signals, and promising indirect detection prospects due to sizable annihilation cross sections mediated by Higgs singlets, making the scenario testable in upcoming experiments.

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.

Figures (1)

• Figure 1: Thermal history and dynamics of the oscillating sneutrino dark matter.