Abstract

We show that in the CMSSM with the non-holomorphic soft SUSY breaking terms, the Yukawa coupling unification of the third family fermions at the GUT scale, called t − b − τ Yukawa unification (YU), is possible under the recent collider and Dark Matter results. The YU parameter can also be found Rtbτ≈ 1, called perfect unification. We find that the squark masses exceed 3 TeV while the stau can be considerably lighter. In the case of YU, the tan β is in the interval [46,55]. We obtain bino-like dark matter (DM) of mass in the range of 0.6 TeV ≲ {m}_{upchi_1^0} ≲ 1.3 TeV where the recent Dark Matter direct detection limits are also satisfied. We also identify A-resonance solutions which reduce the relic abundance of LSP neutralino down to the ranges compatible with the current Planck measurements.

Highlights

  • JHEP04(2021)218 be achieved with relatively lighter squarks [21]

  • We show that in the constrained MSSM (CMSSM) with the non-holomorphic soft SUSY breaking terms, the Yukawa coupling unification of the third family fermions at the grand unified theories (GUTs) scale, called t − b − τ Yukawa unification (YU), is possible under the recent collider and Dark Matter results

  • We will first present the regions in the parameter space that are compatible with t − b − τ YU in figure 2 with m0 − Rtbτ, M1/2 − Rtbτ, (|A0| + |A0|2)/m0 − Rtbτ, tanβ − Rtbτ and μ − Rtbτ planes

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Summary

Introduction

JHEP04(2021)218 be achieved with relatively lighter squarks [21]. The NH terms, which alter the squark and electroweakino mass sectors, may help to satisfy the experimental constraints from the rare B-decays and DM searches in the scenarios like phenomenological MSSM (pMSSM) [21], constrained MSSM (CMSSM) [14, 22, 23] and minimal Gauge Mediated Supersymmetry Breaking (mGMSB) [24]. The effects of the NH terms in Renormalization Group Equations (RGE) of the Higgs SSB masses [20, 22, 37] may help to satisfy the REWSB with YU. With these motivations, we probe in this work the third family (t − b − τ ) YU in NHSSM framework with fully universal boundary conditions at the GUT scale. In addition to WMSSM, the soft SUSY breaking (SSB) Lagrangian is given below

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