Supersymmetric minimal B-L model at the TeV scale with right-handed Majorana neutrino dark matter

TL;DR

This paper introduces a supersymmetric B-L model with a new Z2-parity that naturally explains TeV-scale symmetry breaking and provides a stable right-handed neutrino dark matter candidate, linking collider signals to dark matter properties.

Contribution

It presents a novel supersymmetric B-L model with Z2-parity, enabling TeV-scale symmetry breaking and a stable right-handed neutrino dark matter candidate, with implications for collider and dark matter observations.

Findings

Dark matter relic abundance matches observations via Z' resonance.

Dark matter mass is near half of Z' boson mass.

Z' decay measurements can reveal dark matter properties.

Abstract

We propose a supersymmetric extension of the minimal $B-L$ model where we consider a new $Z_2$-parity under which one right-handed neutrino is assigned odd parity. When the Majorana Yukawa coupling of a $Z_2$-even right-handed neutrino is large, radiative corrections will drive the mass squared of the corresponding right-handed sneutrino to negative values, breaking the $B-L$ gauge symmetry at the TeV scale in a natural way. Additionally, R-parity is broken and thus the conventional supersymmetric dark matter candidate, the neutralino, is no longer viable. Thanks to the $Z_2$-parity, the $Z_2$-odd right-handed neutrino remains a stable dark matter candidate even in the presence of R-parity violation. We demonstrate that the dark matter relic abundance with an enhanced annihilation cross section by the $B-L$ gauge boson (Z') resonance is in accord with the current observations. Therefore, it follows that the mass of this dark matter particle is close to half of the Z' boson mass. If the Z' boson is discovered at the Large Hadron Collider, it will give rise to novel probes of dark matter: The observed Z' boson mass will delineate a narrow range of allowed dark matter mass. If the Z' boson decays to a pair of dark matter particles, a precise measurement of the invisible decay width can reveal the existence of the dark matter particle.