In this paper we study Yukawa-unified SO(10) SUSY GUTs with two types of SO(10) boundary conditions: (i) universal gaugino masses and (ii) non-universal gaugino masses with effective "mirage" mediation. With these boundary conditions, we perform a global χ 2 analysis to obtain the parameters consistent with 11 low energy observables, including the top, bottom, and tau masses. Both boundary conditions have universal scalar masses and "just so" splitting for the up-and down-type Higgs masses. In these models, the third family scalars are lighter than the first two families and the gauginos are lighter than all the scalars. We therefore focus on the gluino phenomenology in these models. In particular, we estimate the lowest allowed gluino mass in our models coming from the most recent LHC data and compare these to limits obtained using simplified models. We find that the lower bound on M g in Yukawa-unified SO(10) SUSY GUTs is generically ∼1.2 TEV at the 1σ level unless there is considerable degeneracy between the gluino and the LSP, in which case the bounds are much weaker. Hence many of our benchmark points are not ruled out by the present LHC data and are still viable models which can be tested at LHC 14.

In this paper we study an SO(10) SUSY GUT with Yukawa unification for the third generation. We perform a global χ 2 analysis given to obtain the GUT boundary conditions consistent with 11 low energy observables, including the top, bottom and tau masses. We assume a universal mass, m 16 , for squarks and sleptons and a universal gaugino mass, M 1/2 . We then analyze the phenomenological consequences for the LHC for 15 benchmark models with fixed m 16 = 20 TeV and with varying values of the gluino mass. The goal of the present work is to (i) evaluate the lower bound on the gluino mass in our model coming from the most recent published data of CMS and (ii) to compare this bound with similar bounds obtained by CMS using simplified models. The bottom line is that the bounds coming from the same sign di-lepton analysis are comparable for our model and the simplified model studied assuming B(g → ttχ 0 1 ) = 100%. However the bounds coming from the purely hadronic analyses for our model are 10 -20% lower than obtained for the simplified models. This is due to the fact that for our models the branching ratio for the decayg → gχ 0 1,2 is significant. Thus there are significantly fewer b-jets. We find a lower bound on the gluino mass in our models with Mg 1000 GeV. Finally, there is a theoretical upper bound on the gluino mass which increases with the value of m 16 . For m 16 ≤ 30 TeV, the gluino mass satisfies Mg ≤ 2.8 TeV at 90% CL. Thus, unless we further increase the amount of fine-tuning, we expect gluinos to be discovered at LHC 14.arXiv:1307.7723v2 [hep-ph]

In this paper we present a model of subcritical hybrid inflation with a Pati-Salam [PS] symmetry group. Both the inflaton and waterfall fields contribute to the necessary e-foldings of inflation, while only the waterfall field spontaneously breaks PS hence monopoles produced during inflation are diluted during the inflationary epoch. The model is able to produce a tensor-to-scalar ratio, r < 0.09 consistent with the latest BICEP2/Keck and Planck data, as well as scalar density perturbations and spectral index, n s , consistent with Planck data. For particular values of the parameters, we find r = 0.084 and n s = 0.0963. The energy density during inflation is directly related to the PS breaking scale, v P S . The model also incorporates a Z R 4 symmetry which can resolve the µ problem and suppress dimension 5 operators for proton decay, leaving over an exact R-parity. Finally the model allows for a complete three family extension with a D 4 family symmetry which reproduces low energy precision electroweak and LHC data.

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Threshold corrections to the bottom quark mass are often estimated under the approximation that tan β enhanced contributions are the most dominant. In this work we revisit this common approximation made to the estimation of the supersymmetric threshold corrections to the bottom quark mass. We calculate the full one-loop supersymmetric corrections to the bottom quark mass and survey a large part of the phenomenological MSSM parameter space to study the validity of considering only the tan β enhanced corrections. Our analysis demonstrates that this approximation underestimates the size of the threshold corrections by ∼12.5% for most of the considered parameter space. We discuss the consequences for fitting the bottom quark mass and for the effective couplings to Higgses. We find that it is important to consider the additional contributions when fitting the bottom quark mass but the modifications to the effective Higgs couplings are typically O(few)% for the majority of the parameter space considered.