Detectable dimension-6 proton decay in SUSY SO(10) GUT at Hyper-Kamiokande

Abstract

Abstract In the minimal SUSY SU(5) GUT with O(1) TeV SUSY particles and O(1) or below self-coupling for the GUT-breaking Higgs field, the width of the dimension-6 proton decay is suppressed below the reach of Hyper-Kamiokande. In this paper, we point out that a SUSY SO(10) GUT which adopts only 4 5 H + 1 6 H + 16 ¯ H $$ \mathbf{4}{\mathbf{5}}_{\mathrm{H}}+\mathbf{1}{\mathbf{6}}_{\mathrm{H}}+{\overline{\mathbf{16}}}_{\mathrm{H}} $$ GUT-breaking Higgs fields leads to an enhanced dimension-6 proton decay width detectable at Hyper-Kamiokande. The enhancement is because the SU(5)-breaking VEV of 45 H arises due to Planck-suppressed terms, W ∝ (45 H 2 )2/M ∗ + 45 H 4 /M ∗, and is therefore substantially larger than the other VEVs that conserve SU(5). As a result, the (3 , 2 , 1/6) GUT gauge boson mass is about 1/5 smaller than the (3 , 2 , −5/6) GUT gauge boson mass and can induce a fast dimension-6 proton decay. Through a numerical analysis on threshold corrections of the GUT gauge bosons and the physical components of the GUT-breaking Higgs fields, we confirm that the dimension-6 proton decay can be within the reach of Hyper-Kamiokande.

Keywords

• GUT
• Supersymmetric Standard Model