Abstract
This work studies the self-interacting dark matter (SIDM) scenario in the general NMSSM and beyond, where the dark matter is a Majorana fermion and the force mediator is a scalar boson. An improved analytical expression for the dark matter (DM) self-interacting cross section which takes into account the Born level effects is proposed. Due to the large couplings and light mediator in SIDM scenario, the DM/mediator will go through multiple branchings if they are produced with high energy. Based on the Monte Carlo simulation of the showers in the DM sector, we obtain the multiplicities and the spectra of the DM/mediator from the Higgsino production and decay at the LHC for our benchmark points.
Highlights
Correct dark matter (DM) relic density can be set via thermal freeze-out with DM annihilating into scalar mediators
Due to the large couplings and light mediator in self-interacting dark matter (SIDM) scenario, the DM/mediator will go through multiple branchings if they are produced with high energy
An improved analytical estimation for the DM self-interacting cross section which takes into account the Born level effects is proposed
Summary
The scattering between DMs (χ) with a scalar mediator (φ) in the non-relativistic limit is controlled by an attractive Yukawa potential. Where δl is the phase shift for a partial wave l It can be obtained by solving the Schrödinger equation for given potential V (r), and k = mχv/2 with v being the relative velocity between the DMs in the scattering. [41] provides the analytic approximations of σT, σVS, and σVA for both attractive and repulsive Yukawa potentials in the semi-classical regime where t 1. The σT and the spin averaged σV on the whole a−b plane can be obtained by combining the expressions above As for the asymmetric viscosity cross section, the analytical calculation in the quantum regime raises zero, which is in consistent with the numerical calculation as most points in the quantum regime give σVAk2/(4π) 10−8 and it is much smaller than σTk2/(4π) and σVSk2/(4π)
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