Cosmic ray boosted sub-GeV gravitationally interacting dark matter in direct detection

Wenyu Wang,Hang Zhou,Bin Zhu,Jin Min Yang,Lei Wu

doi:10.1007/jhep12(2020)072

Abstract

Detections of non-gravitational interactions of massive dark matter (DM) with visible sector so far have given null results. The DM may communicate with the ordinary matter only through gravitational interaction. Besides, the majority of traditional direct detections have poor sensitivities for light DM because of the small recoil energy. Thanks to the high energy cosmic rays (CRs), the light DM can be boosted by scattering with CRs and thus may be detected in the ongoing experiments. In this work, we derive the exclusion limits on the cosmic ray boosted sub-GeV DM with gravitational mediator from the Xenon1T data. It turns out that a sizable region of such a cosmic ray boosted DM can be excluded by the current data.

Highlights

The UV cut-off can be reduced to GeV scale when the spin-2 mediator is a Kaluza-Klein massive graviton, as illustrated in figure 1. Such a gravitationally interacting DM (GIDM) scenario can be realized in a warped dark sector [31,32,33,34], which is a slice of AdS space in the Ponicare patch with the metric ds2 =−2 ημνxμxν − dz2
It provides a dynamical mechanism of generating a GeV cut-off scale of GIDM, which can thermally produce the correct relic abundance by gravitational mediators arising from the compactification of extra-dimensions
We present the explicit form of the differential scattering cross section of the dark matter (DM) with the cosmic rays (CRs) in the appendix

Summary

Model and CRDM

Till all attempts to detect non-gravitational interactions of DM with ordinary matter have given null results. We lose the ability to solve the hierarchy problem, but obtain a choice to probe the dark sector in GeV scale It provides a dynamical mechanism of generating a GeV cut-off scale of GIDM, which can thermally produce the correct relic abundance by gravitational mediators arising from the compactification of extra-dimensions. Where Gμν is the massive KK graviton, TμDνM,SM are the energy-momentum tensors for dark matter and the SM particles, and Λ is the inverse of the extra dimension length Such effective interactions allow us to retain the feature of the warped dark sector [34]. With eq (2.1), the tree-level scattering amplitude between fermionic DM and the SM fermion through the spin-2 mediator can be written as

T DMT SM 6

Numerical results and discussions

Conclusion

A Differential cross-section between dark matter and cosmic ray