Abstract

SUSY/SUGRA models with naturalness defined via small μ are constrained due to experiment on the relic density and the experimental limits on the WIMP-proton cross-section and WIMP annihilation cross-section from indirect detection experiments. Specifically models with small μ where the neutralino is higgsino-like lead to dark matter relic density below the observed value. In several works this problem is overcome by assuming dark matter to be constituted of more than one component and the neutralino relic density deficit is made up from contributions from other components. In this work we propose that the dark matter consists of just one component, i.e., the lightest neutralino and the relic density of the higgsino-like neutralino receives contributions from the usual freeze-out mechanism along with contributions arising from the decay of hidden sector neutralinos. The model we propose is an extended MSSM model where the hidden sector is constituted of a U(1)X gauge sector along with matter charged under U(1)X which produce two neutralinos in the hidden sector. The U(1)X and the hypercharge U(1)Y of the MSSM have kinetic and Stueckelberg mass mixing where the mixings are ultraweak. In this case the hidden sector neutralinos have ultraweak interactions with the visible sector. Because of their ultraweak interactions the hidden sector neutralinos are not thermally produced and we assume their initial relic density to be negligible. However, they can be produced via interactions of MSSM particles in the early universe, and once produced they decay to the neutralino. For a range of mixings the decays occur before the BBN producing additional relic density for the neutralino. Models of this type are testable in dark matter direct and indirect detection experiments and at the high luminosity and high energy LHC.

Highlights

  • There are various technical definitions quantifying naturalness

  • In the specfic model we propose, the hidden sector is constituted of U(1)X gauge fields and matter fields charged under the U(1)X, while the hidden sector is not charged under the Standard Model gauge group

  • It is shown that the ultraweakly interacting particles produced in the early universe, i.e., in the post inflationary period, decay into the lightest supersymmetric particle (LSP) of the minimal supersymmetric standard model (MSSM) and for a range of the parameter space they decay before the Big Bang Nucleosynthesis (BBN) time producing the desired relic density observed today

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Summary

The model

The model we discuss contains the visible sector, a hidden sector and the interactions of the visible sector with the hidden sector so that the total Lagrangian of the extended system has the form [44]. After spontaneous electroweak symmetry breaking and the Stueckelberg mass growth the mass-squared matrix of neutral vector bosons is a 3 × 3 matrix in the basis (Cμ, Bμ, A3μ) where A3μ is the neutral component of the SU(2)L gauge field Aaμ, a = 1 − 3. Assuming that the hidden sector neutralinos have masses greater than χ01, they will decay to the χ01 via interactions involving the Z, Z and via Higgs interactions Computations of these interactions are straightforward extensions of the MSSM interactions and details of how this can be carried out can be found in [11, 18,19,20,21,22,23,24,25,26,27]. The decay of hidden sector neutralinos essentially occurs after the time of the lightest neutralino freeze-out, but before the time of BBN

Dark matter relic density
Model implementation and parameter scan
Collider study of a compressed electroweakino spectrum
Signal and background simulation and LHC production of electroweakino pairs
Analysis technique and event preselection
Selection criteria and results
Conclusion
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