Muon g-2 in an alternative quasi-Yukawa unification with a less fine-tuned seesaw mechanism

Abstract

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 ninon 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 right-handed neutrinos causes heavy smuons as m((mu) over bar) greater than or similar to 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 less than or similar to 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((chi) over bar1)(+/-) less than or similar to 400 GeV and in m((chi) over bar1)(0) less than or similar to 200. We also discuss such light chargino and neutralino along with the light stau (m((tau) over bar) 200 GeV) in the light of current LHC results. Besides, the gluino mass lies in a range similar to[2.5-3.5] TeV, which is tested in near future experiments. In addition, the model predicts relatively light Higgsinos (mu less than or similar to 700 GeV); hence, the second chargino mass is also light enough (less than or similar to 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 Delta(EW) less than or similar to 100 strictly, and this region also satisfies the QYU condition. In addition, the ratios among the Yukawa couplings should be 1.8 less than or similar to y(t)/y(b) less than or similar to 2.6, y(tau)/y(b) similar to 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 less than or similar to y(tau)/y(b) <= 1.7.