Dark Matter from the Supersymmetric Custodial Triplet Model

TL;DR

This paper explores a supersymmetric model with triplet scalars that naturally protects the rho parameter, allowing for light triplet scalars and a neutralino dark matter candidate consistent with current detection constraints.

Contribution

It introduces the Supersymmetric Custodial Triplet Model, analyzing its symmetry properties, scalar vacuum expectation values, and dark matter implications, highlighting its compatibility with experimental bounds.

Findings

Light neutralino can account for dark matter relic abundance.

Custodial symmetry suppresses direct detection signals.

Model remains consistent with indirect detection constraints.

Abstract

The Supersymmetric Custodial Triplet Model (SCTM) adds to the particle content of the MSSM three $SU(2)_L$ triplet chiral superfields with hypercharge $Y=(0,\pm1)$. At the superpotential level the model respects a global $SU(2)_L \otimes SU(2)_R$ symmetry only broken by the Yukawa interactions. The pattern of vacuum expectation values of the neutral doublet and triplet scalar fields depends on the symmetry pattern of the Higgs soft breaking masses. We study the cases where this symmetry is maintained in the Higgs sector, and when it is broken only by the two doublets attaining different vacuum expectation values. In the former case, the symmetry is spontaneously broken down to the vectorial subgroup $SU(2)_V$ and the $\rho$ parameter is protected by the custodial symmetry. However in both situations the $\rho$ parameter is protected at tree level, allowing for light triplet scalars with large vacuum expectation values. We find that over a large range of parameter space, a light neutralino can supply the correct relic abundance of dark matter either through resonant s-channel triplet scalar funnels or well tempering of the Bino with the triplet fermions. Direct detection experiments have trouble probing these model points because the custodial symmetry suppresses the coupling of the neutralino and the $Z$ and a small Higgsino component of the neutralino suppresses the coupling with the Higgs. Likewise the annihilation cross sections for indirect detection lie below the Fermi-LAT upper bounds for the different channels.