Abstract

We propose the existence of a hidden or dark sector besides the standard model (SM) of particle physics, whose members (both fermionic and bosonic) obey a local SU(2)$_{\rm H}$ gauge symmetry while behaving like a singlet under the SM gauge group. However, the fermiomic fields of the dark sector also possess another global U(1)$_{\rm H}$ symmetry which remains unbroken. The local SU(2)$_{\rm H}$ invariance of the dark sector is broken spontaneously when a scalar field in this sector acquires a vacuum expectation value (VEV) and thereby generating masses to the dark gauge bosons and dark fermions charged under the SU(2)$_{\rm H}$. The lightest fermion in this dark SU(2)$_{\rm H}$ sector can be a potential dark matter candidate. We first examine the viability of the model and constrain the model parameter space by theoretical constraints such as vacuum stability and by the experimental constraints such as PLANCK limit on relic density, LHC data, limits on spin independent scattering cross-section from dark matter direct search experiments etc. We then investigate the gamma rays from the pair annihilation of the proposed dark matter candidate at the Galactic Centre region. We also extend our calculations of gamma rays flux for the case of dwarf galaxies and compare the signatures of gamma rays obtained from these astrophysical sites.

Highlights

  • Dark matter (DM) are performed by various DM direct search experiments namely CDMS [3,4,5,6], CoGent [7], Xenon100 [8], LUX [9] etc

  • We show that the DM candidate in the present model that satisfy the limits from vacuum stability, Large Hadron Collider (LHC) constraints, relic density, direct detection experiments can duely explain the Galactic centre γ -ray excess and is in agreement with the limits on DM annihilation cross section obtained from the study of dwarf galaxies

  • 2 in order to keep similarity with the expression of the Standard Model Higgs doublet H, we have introduced the notation of three scalar fields, in the expression of, as G+2, φ◦ and G◦2, the symbols + and 0 appearing in the superscript of dark sector scalar fields do not represent the electric charge of the corresponding scalar field as electric charge itself is not defined in the dark sector, which is invariant only under SU(2)H

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Summary

Introduction

Dark matter particles can get trapped inside massive astrophysical bodies (due to their enormous gravity) like the Galactic Centre (GC), the solar core. The dark matter rich dsphs can emit excess γ -rays due to the pair annihilation of dark matter Nine such dwarf galaxies have recently been discovered in addition to the previously discovered 15 dwarf satellite galaxies of Milky way. The analysis of Fermi-LAT data [13] by Daylan et al [21] shows that the γ -ray excess from the GC can be well explained by the annihilation dark matter scenario They have excluded all the known astrophysical processes which can act as the possible origin of this phenomenon. We show that the DM candidate in the present model that satisfy the limits from vacuum stability, LHC constraints, relic density, direct detection experiments can duely explain the Galactic centre γ -ray excess and is in agreement with the limits on DM annihilation cross section obtained from the study of dwarf galaxies.

The model
Constraints
Calculational procedures and results
Constraining the model parameter space
Calculation of gamma ray signals from galactic centre and dwarf galaxies
Findings
Discussions and conclusions
Full Text
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