Proton Decay in Supersymmetric $SU(4{)}_c\times SU(2{)}_L\times SU(2{)}_R$

Abstract

We discuss proton decay in a recently proposed model of supersymmetric hybrid inflation based on the gauge symmetry $SU(4{)}_c\times SU(2{)}_L\times SU(2{)}_R$. A $U(1)R$ symmetry plays an essential role in realizing inflation as well as in eliminating some undesirable baryon number violating operators. Proton decay is primarily mediated by a variety of color triplets from chiral superfields, and it lies in the observable range for a range of intermediate scale masses for the triplets. The decay modes include $p\to e^{+}({\mu }^{+})+{\pi }^0$, $p\to \bar{\nu }+{\pi }^{+}$, $p\to K^0+e^{+}({\mu }^{+})$, and $p\to K^{+}+\bar{\nu }$, with a lifetime estimate of order $10^{34}-10^{36}$ yrs and accessible at Hyper-Kamiokande and future upgrades. The unification at the Grand Unified Theory (GUT) scale $M_{\mathrm{GUT}}$ ($\sim 10^{16}$ GeV) of the Minimal Supersymmetric Standard Model (MSSM) gauge couplings is briefly discussed.

Version-2: 20 pages, 7 figures, version published in JHEP

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Cited by in corpus (5)

• Observable Proton Decay in Flipped SU(5)
• $\mu$-Hybrid Inflation and Metastable Cosmic Strings in $\mathbf{SU}(3{)}_{\mathbf{c}}\times \mathbf{SU}(2{)}_{\mathbf{L}}\times \mathbf{SU}(2{)}_{\mathbf{R}}\times \mathbf{U}(1{)}_{\mathbf{B}-\mathbf{L}}$
• Observable proton decay and gauge coupling unification in the improved missing doublet SU(5) model
• Inflation, Proton Decay and Gravitational Waves from Metastable Strings in $SU(4{)}_C\times SU(2{)}_L\times U(1{)}_R$ Model
• Smooth $\mu$-Hybrid and Non-Minimal Higgs Inflation in $SU(4{)}_C\times SU(2{)}_L\times SU(2{)}_R$ With Observable Gravitational Waves