We explore the low-scale implications of the Pati-Salam Model including the TeV scale right-handed neutrinos interacting and mixing with the MSSM fields through the inverse seesaw (IS) mechanism in light of the muon anomalous magnetic moment (muon g − 2) resolution and highlight the solutions which are compatible with the quasi-Yukawa unification condition (QYU). We find that the presence of the righthanded neutrinos causes heavy smuons as mμ ≳ 800 GeV in order to avoid tachyonic staus at the low scale. On the other hand, the sneutrinos can be as light as about 100 GeV, and along with the light charginos of mass ≲400 GeV, they can yield such large contributions to muon g − 2 that the discrepancy between the experiment and the theory can be resolved. These solutions also require m˜χAE We also discuss such light chargino and neutralino along with the light stau (mτ ≳ 200 GeV) in the light of current LHC results. Besides, the gluino mass lies in a range ∼½2.5-3.5 TeV, which is tested in near future experiments. In addition, the model predicts relatively light Higgsinos (μ ≲ 700 GeV); hence, the second chargino mass is also light enough (≲700 GeV) to contribute to muon g − 2. Light Higgsinos also yield less fine-tuning at the electroweak scale, and the regions compatible with muon g − 2 restrict Δ EW ≲ 100 strictly, and this region also satisfies the QYU condition. In addition, the ratios among the Yukawa couplings should be 1.8 ≲ y t /y b ≲ 2.6, y τ /y b ∼ 1.3 to yield correct fermion masses. Even though the righthanded neutrino Yukawa coupling can be varied freely, the solutions bound its range to 0.8 ≲ y ν /y b ≲ 1.7.

We explore the stop mass and its possible probe through a set of three different signal processes within a class of SUSY GUTs with non-universal gaugino masses. The stop mass can be realized in a wide range (0.4-8 TeV) consistent with the current experimental constraints. We consider the decay processes;t 1 → tχ 0 1 ,t 1 → bW ±χ 0 1 andt 1 → bqq χ 0 1 to be possible signals, and explore the impact of the current experimental results as well as the possible mass scales of stop, which can be probed in the future collider experiments. We find that the first and third signal processes can be tested in the current experiments, and significantly probed in future, while the second signal process is not available for the current experiments in this class of SUSY GUTs. We also comment that the second signal process can be available to be tested when the collider experiments are conducted at high center of mass energies and luminosity.

ABSTRACT

We discuss low scale implications of a class of SUSY GUTs with non-universal SSB masses and confront them with the current experimental results from the direct detection of dark matter experiments, as well as the collider experiments of different center of mass energies. This class of SUSY GUTs are expected to be tested soon in direct detection dark matter experiments through the scatterings of Higgsino and Wino-like dark matters at nuclei. Besides, the stop and gluino will be able to be probed and tested up to about 5-6 TeV in the current and future collider experiments. These probe scales are expected to be further when high luminosities are achieved.

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