Abstract

We present a particle physics model to explain the observed enhancement in the Xenon-1T data at an electron recoil energy of 2.5 keV. The model is based on a U(1) extension of the Standard Model where the dark sector consists of two essentially mass degenerate Dirac fermions in the sub-GeV region with a small mass splitting interacting with a dark photon. The dark photon is unstable and decays before the big bang nucleosynthesis, which leads to the dark matter constituted of two essentially mass degenerate Dirac fermions. The Xenon-1T excess is computed via the inelastic exothermic scattering of the heavier dark fermion from a bound electron in xenon to the lighter dark fermion producing the observed excess events in the recoil electron energy. The model can be tested with further data from Xenon-1T and in future experiments such as SuperCDMS.

Highlights

  • Used which is split into two Majoranas which are given different masses [30, 32]

  • The fermion mass degeneracy is broken by a small mass mixing term which removes the degeneracy and produces two Dirac fermions D1, D2 where D2 is heavier than D1 with a mass splitting size ∼ 3 keV

  • In the work here we have given a detailed analysis of the dark matter relic density constituted of dark fermions while the dark photons decay before the BBN time

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Summary

Stueckelberg extension with hidden sector dark fermions

We extend the Standard Model (SM) gauge group by an extra U(1)X under which the SM is neutral. In the Standard Model the neutral gauge boson sector arises from the hypercharge gauge boson Bμ and the third component of the SU(2)L gauge field Aμa (a = 1−3), which leads to a 2 × 2 mass squared matrix after spontaneous symmetry breaking. After spontaneous electroweak symmetry breaking and the Stueckelberg mass growth, and on including the GL(2, R) transformation to obtain a diagonal and a normalized kinetic energy for the gauge bosons, the 3 × 3 mass squared matrix of neutral vector bosons in the basis (Cμ, Bμ, A3μ) is given by.

Dark matter relic density
DM-electron scattering cross-section
Detection rate at Xenon-1T
Constraints and fit to Xenon-1T data
Conclusion
A Further analytical details
Relevant cross-sections
The decay width of γ to neutrinos is given by
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