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The constraints imposed on the Minimal Supersymmetric Standard Model (MSSM) parameter space by the Large Hadron Collider (LHC) Higgs mass limit and gluino mass lower bound are revisited. We also analyze the thermal relic abundance of lightest neutralino, which is the Lightest Supersymmetric Particle (LSP). We show that the combined LHC and relic abundance constraints rule out most of the MSSM parameter space except a very narrow region with very large

The most recent observations by the Planck satellite confirmed that 26.8% of the universe content is in the form of DM and the usual visible matter only accounts for 5% [

Despite the absence of direct experimental verification, Supersymmetry (SUSY) is still the most promising candidate for a unified theory beyond the Standard Model (SM). SUSY is a generalization of the space-time symmetries of the quantum field theory that links the matter particles (quarks and leptons) with the force-carrying particles and implies that there are additional “superparticles” necessary to complete the symmetry. In this regard, SUSY solves the problem of the quadratic divergence in the Higgs sector of the SM in a very elegant natural way. The most simple supersymmetric extension of the SM, which is the most widely studied, is known as the MSSM [

The landmark discovery of the SM-like Higgs boson at the LHC, with mass ~125 GeV [

Moreover, the relic density data [

In this paper, we analyze the constraints imposed by the Higgs mass limit and the gluino lower bound, which are the most stringent collider constraints, on the constrained MSSM (minimal SUGRA model, hereafter referred to as MSSM) parameter space. In particular, these constraints imply that the gaugino mass,

The paper is organized as follows. In Section

The particle content of the MSSM is three generations of (chiral) quark and lepton superfields; the (vector) superfields are necessary to gauge

In the MSSM, a certain universality of soft SUSY breaking terms at grand unification scale

In the MSSM, the mass of the lightest Higgs state can be approximated, at the one-loop level, as [

In Figure

MSSM parameter space for

The neutralinos

Here, two remarks are in order. (i) The abovementioned constraints in

The mass of lightest neutralino versus the purity function in the region of parameter space allowed by gluino and Higgs mass limits.

As advocated in the previous section, the LSP in MSSM, the lightest neutralino

The relic density is then determined by the Boltzmann equation for the LSP number density

If one considers the s-wave and p-wave annihilation processes only, the thermal average

The lightest neutralino may annihilate into fermion-antifermion (

Feynman diagrams contributing to early-universe neutralino

In Figure

LSP relic abundance constraints (red regions) on

The relic abundance versus the mass of the LSP for different values of

Perhaps the most natural way of searching for the neutralino DM is provided by direct experiments, where the effects induced in appropriate detectors by neutralino-nucleus elastic scattering may be measured. The elastic-scattering cross section of the LSP with a given nucleus has two contributions: spin-dependent contribution arising from

Spin-independent scattering cross section of the LSP with a proton versus the mass of the LSP within the region allowed by all constraints (from the LHC and relic abundance).

In the previous section, we assumed standard cosmology scenario where the reheating temperature

A detailed analysis of the relic density with a low reheating temperature has been carried out in [

In Figure

LSP nonthermal relic abundance constraints (red regions) on

We have studied the constraints imposed on the MSSM parameter space by the Higgs mass limit and the gluino lower bound, which are the most stringent collider constraints obtained from the LHC run-I at energy 8 TeV. We showed that

The authors declare that there is no conflict of interests regarding the publication of this paper.

This work was partially supported by the STDF Project 13858, the ICTP Grant AC-80, and the European Union FP7 ITN INVISIBLES (Marie Curie Actions, PITN-GA-2011-289442).

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