Abstract
We investigate a class of models where the supergravity model with the standard model gauge group is extended by a hidden sector $U(1)_X$ gauge group and where the lightest supersymmetric particle is the neutralino in the hidden sector. We investigate this possibility in a class of models where the stau is the lightest supersymmetric particle in the MSSM sector and the next-to-lightest supersymmetric particle of the $U(1)_X$-extended SUGRA model. In this case the stau will decay into the neutralino of the hidden sector. For the case when the mass gap between the stau and the hidden sector neutralino is small and the mixing between the $U(1)_Y$ and $U(1)_X$ is also small, the stau can decay into the hidden sector neutralino and a tau which may be reconstructed as a displaced track coming from a high $p_T$ track of the charged stau. Simulations for this possibility are carried out for HL-LHC and HE-LHC. The discovery of such a displaced track from a stau will indicate the presence of hidden sector dark matter.
Highlights
Most of the searches for dark matter (DM) are focused on dark matter being a particle interacting weakly with the standard model (SM) particles and having a cross section in a range accessible to direct detection and indirect detection experiment
For example in the context of supersymmetry (SUSY) if the lightest particle is neutral with R parity conservation, it is a candidate for dark matter
It is entirely possible that dark matter resides in hidden sectors which are ubiquitous in supergravity (SUGRA) and string models
Summary
Most of the searches for dark matter (DM) are focused on dark matter being a particle interacting weakly with the standard model (SM) particles and having a cross section in a range accessible to direct detection and indirect detection experiment. It is entirely possible that dark matter resides in hidden sectors which are ubiquitous in supergravity (SUGRA) and string models (see, e.g., [1]). In this work we explore this possibility within the framework of supergravity grand unified model with an extended Uð1ÞX sector including both the gauge kinetic mixing and the Stueckelberg mass mixing. The outline of the rest of paper is as follows: In Sec. II, we discuss the Uð1ÞX-extended SUGRA model with gauge kinetic mixing and Stueckelberg mass mixing. The analysis makes a comparative study of the discovery potential of HL-LHC and HE-LHC for the detection of hidden sector dark matter.
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