Canonical Gauge Coupling Unification in the Standard Model with High-Scale Supersymmetry Breaking

TL;DR

This paper explores gauge coupling unification and Higgs mass predictions in the Standard Model with high-scale supersymmetry breaking, proposing models that achieve unification at various scales without proton decay issues.

Contribution

It demonstrates gauge coupling unification in the SM with high-scale SUSY breaking and constructs F-theory GUT models avoiding proton decay problems.

Findings

Gauge coupling unification at ~5.3 x 10^{13} GeV

Higgs mass predicted between 114.4 GeV and 147 GeV

Discrepancies among gauge couplings less than 6%

Abstract

Inspired by the string landscape and the unified gauge coupling relation in the F-theory Grand Unified Theories (GUTs) and GUTs with suitable high-dimensional operators, we study the canonical gauge coupling unification and Higgs boson mass in the Standard Model (SM) with high-scale supersymmetry breaking. In the SM with GUT-scale supersymmetry breaking, we achieve the gauge coupling unification at about 5.3 x 10^{13} GeV, and the Higgs boson mass is predicted to range from 130 GeV to 147 GeV. In the SM with supersymmetry breaking scale from 10^4 GeV to 5.3 x 10^{13} GeV, gauge coupling unification can always be realized and the corresponding GUT scale M_U is from 10^{16} GeV to 5.3 x 10^{13} GeV, respectively. Also, we obtain the Higgs boson mass from 114.4 GeV to 147 GeV. Moreover, the discrepancies among the SM gauge couplings at the GUT scale are less than about 4-6%. Furthermore, we present the SU(5) and SO(10) models from the F-theory model building and orbifold constructions, and show that we do not have the dimension-five and dimension-six proton decay problems even if M_U \le 5 x 10^{15} GeV.