Pati-Salam SUSY GUT with Yukawa unification

Abstract

Previous studies of a three family Yukawa unified supersymmetric grand unified theory (SUSY GUT) with SO(10) or Pati-Salam (PS) gauge symmetry proposed by Raby and students show that this model is able to fit low energy and inflation observables. However, the fit to low energy observables is not great especially for sin 2β, and up and down quark masses. In this paper, we show that by choosing PS as the gauge group and modifying the Yukawa sector, the low energy fit improves significantly while other qualities of the model are maintained. In particular, the lightest SUSY particle is the neutralino with mass of order 300 -500 GeV, the lightest stop and sbottom have mass of order 3 -5 TeV and the CP odd Higgs mass is of order 5 -6 TeV, so we are in the decoupling limit for the light Higgs. In addition, we reinterpret gluino simplified model analyses by the * poh.7@osu.edu † raby.1@osu.edu ‡ 1300011456@pku.edu.cn ATLAS and CMS collaborations and find that the most stringent gluino mass bound for our model is Mg ∼ 1.9 TeV. The current best fit point, consistent with this bound, with gluino mass Mg = 1.9 TeV has χ 2 /dof ≈ 1.12, compared to the best fit point of the previous model with χ 2 /dof = 1.90. We find that predictions for the electric dipole moment of the electron, the branching ratio BR(µ → eγ) and the CP violating angle in the lepton sector, sin δ, are affected significantly as compared to previous results. In summary, we are unable to rule out this model or place an upper bound on gluino mass accessible by this run of the LHC because the χ 2 /dof of this model is well below 2σ even for a gluino mass as high as 2.7 TeV. On the bright side, this means that this model is still viable and we might find low energy SUSY particles in the near future.

Planck2018 results

“…Likewise, the cosmic-ray energy spectrum, and thereby the synchrotron emission spectrum, depend on the magnetic field structure (Strong et al 2011). These physical couplings break the simplest assumption for component separation, by which the spectral frequency dependence of the Galactic polarization and its angular structure on the sky are separable (Tassis & Pavlidou 2015;Poh & Dodelson 2017). The couplings make polarized foregrounds intrinsically complex, in ways that have yet to be characterized statistically for optimizing the component separation and taking into account Galactic residuals in the CMB likelihood function.…”

Determining thermal dust emission from Planck HFI data using a sparse, parametric technique

“…Therefore it is possible that the need for a two-spectral index model was due to the calibration discrepancy between frequencies above and below 353 GHz in the previous data releases. More physically motivated dust particle models are also under consideration (Jones et al (2017); Guillet et al (2018)), as are models which account for spectral deviations from the average MBB fit along a line-of-sight using Taylor expansion (Chluba et al 2017) or, in polarisation, measurements of the 3D magnetic structure of dust clouds (Tassis & Pavlidou (2015); Poh & Dodelson (2017)). The technique presented in Irfan & Bobin (2018), herein referred to as premise, is flexible to advances in the field in that the algorithm can be updated to work with different models.…”

Yukawa unification with light supersymmetric particles consistent with LHC constraints

“…Further, the bounds applied in these studies have now long been updated by the LHC. In a more recent article [26] a statistical analysis of SO (10) breaking via Pati-Salam model based on the 4-2-2 gauge symmetry together with a family symmetry is done and the consistency of theoretical bounds to the experimental results are discussed requiring m 0 15 TeV.…”