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

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 ${45}_{\mathrm{H}}+{16}_{\mathrm{H}}+{\overline{16}}_{\mathrm{H}}$ 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 ${45}_{\mathrm{H}}$ arises due to Planck-suppressed terms, $W\propto ({45}_{\mathrm{H}}^2{)}^2/M_{\ast }+{45}_{\mathrm{H}}^4/M_{\ast }$, 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.

arXiv comment15 pages

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Cited by in corpus (4)

• Proton Decay and Axion Dark Matter in SO(10) Grand Unification via Minimal Left-Right Symmetry
• Moderately Suppressed Dimension-five Proton Decay in a Flipped $SU(5)$ Model
• Enhanced $\Gamma (p\to K^0{\mu }^{+})/\Gamma (p\to K^{+}{\bar{\nu }}_{\mu })$ as a Signature of Minimal Renormalizable SUSY $SO(10)$ GUT
• Renormalizable $SO(10)$ GUT with Suppressed Dimension-5 Proton Decays