Improved White Dwarves Constraints on Inelastic Dark Matter and Left-Right Symmetric Models

TL;DR

This paper demonstrates that white dwarf observations can set new constraints on inelastic dark matter interactions and significantly restrict the parameter space of Left-Right Symmetric Models, surpassing previous detection methods.

Contribution

It introduces novel astrophysical constraints on inelastic dark matter and applies these to limit the parameter space of the LRSM, including implications for GUT embeddings.

Findings

White dwarf data constrains inelastic DM with mass splitting up to 40 MeV.

Bounds from white dwarfs restrict LRSM parameters, requiring $g_R>g_L$.

Viable dark matter masses are identified in specific LRSM scenarios.

Abstract

WIMPs can be captured in compact stars such as white dwarves (WDs) leading to an increase in the star luminosity through their annihilation process. We show that when the WIMP interacts with the nuclear targets within the WD through inelastic scattering and its mass exceeds a few tens GeV the data on low-temperature large-mass WDs in the Messier 4 globular cluster can probe values of the mass splitting $\delta\lesssim$ 40 MeV. Such value largely exceeds those ensuing from direct detection and from solar neutrino searches. We apply such improved constraint to the specific DM scenario of a self-conjugate bi-doublet in the Left-Right Symmetric Model (LRSM), where the standard $SU(2)_L$ group with coupling $g_L$ is extended by an additional $SU(2)_R$ with coupling $g_R$. We show that bounds from WDs significantly reduce the cosmologically viable parameter space of such scenario, in particular requiring $g_R>g_L$. For instance, for $g_R/g_L$ = 1.8 we find the two viable mass ranges 1.2 TeV $\lesssim m_\chi\lesssim$ 3 TeV and 5 TeV $\lesssim m_\chi\lesssim$ 10 TeV, when the charged $SU(2)_R$ gauge boson mass $M_{W_2}$ is lighter than $\simeq$ 12 TeV. We also discuss the ultraviolet completion of the LRSM model, when the latter is embedded in a Grand Unified Theory. We show that such low-energy parameter space and compatibility to proton-decay bounds require a non-trivial extension of the particle content of the minimal model. We provide a specific example where $M_{W_2}\lesssim$ 10 TeV is achieved by extending the LRSM at high energy with color triplets that are singlets under all other groups, and $g_R/g_L>$1 is obtained by introducing $SU(2)_L$ triplets with no $SU(2)_R$ counterparts, i.e. by breaking the symmetry between the multiplets of $SU(2)_L$ and $SU(2)_R$.