Implications of canonical gauge coupling unification in high-scale supersymmetry breaking

Abstract

We systematically construct two kinds of models with canonical gauge coupling unification and universal high-scale supersymmetry breaking. In the first we introduce standard vector-like particles while in the second we also include non-standard vector-like particles. We require that the gauge coupling unification scale is from 5 × 10 15 GeV to the Planck scale, that the universal supersymmetry breaking scale is from 10 TeV to the unification scale, and that the masses of the vector-like particles (M V ) are universal and in the range from 200 GeV to 1 TeV. Using two-loop renormalization group equation (RGE) running for the gauge couplings and one-loop RGE running for Yukawa couplings and the Higgs quartic coupling, we calculate the supersymmetry breaking scales, the gauge coupling unification scales, and the corresponding Higgs mass ranges. When the vector-like particle masses are less than 1 TeV, these models can be tested at the LHC.

Elements of -ast proton decay

“…Following [49,65] and references therein, we present the supplementary step-wise contributions to the MSSM one-and two-loop β-function coefficients from the vector-like particles. ∆b ≡ (∆b Y , ∆b 2 , ∆b 3 ), and likewise ∆B are given as complete supermultiplets, including the conjugate representation in each case.…”

“…The natural convention within the established formalism has been to cast the effect of any heavy thresholds onto renormalization of just the second gauge coupling as shown. As hinted previously however, we will also have to make a compensatory shift ξ H Y = −3/5 ξ H 2 (65) to the hypercharge if Ξ Y of Eq. (48) is to be left undisturbed.…”

“…Whenever plotting, tabulating, or quoting results from the strict triple unification picture, we will always implicitly assume, without immediate concern for their origin, the action of heavy thresholds as specified for internal consistency by Eqs. (64,65).…”

Inflation in supersymmetricSU(5)

“…The 2-loop beta functions and RGEs for SM, MSSM and these extra vectorlike particles can be found in Refs. [35,36,37,38,39]. The evolution of three gauge couplings with and without the extra vectorlike particle combination (Eq.…”

Road map through the desert: unification with vector-like fermions

“…The issue of gauge coupling unification in the presence of VL fermions is not a new idea and it received a lot of attention in the literarture, both before the launch of the LHC [14,15,16,17,18,19,20,21,22,23], and after [24,25,26,27,28,10]. Similar analyses within the SUSY framework were performed as well [29,30,31,32,33,34,35,36]. In most of the former studies only particular types and a limited number of VL representations were considered.…”