Threshold Corrections to Dimension-six Proton Decay Operators in Non-minimal SUSY SU(5) GUTs

Abstract

We calculate the high and low scale threshold corrections to the D=6 proton decay mode in supersymmetric SU(5) grand unified theories with higher-dimensional representation Higgs multiplets. In particular, we focus on a missing-partner model in which the grand unified group is spontaneously broken by the 75-dimensional Higgs multiplet and the doublet-triplet splitting problem is solved. We find that in the missing-partner model the D=6 proton decay rate gets suppressed by about 60%, mainly due to the threshold effect at the GUT scale, while the SUSY-scale threshold corrections are found to be less prominent when sfermions are heavy.

26 pages, 3 figures. Version accepted for publication in Nuclear Physics B (typos and numerical errors are corrected, and texts are added)

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• Flavor physics induced by light $Z^{\prime }$ from SO(10) GUT
• Employing nucleon decay as a fingerprint of SUSY GUT models using \texttt{SusyTCProton}
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• Flipped $SU(5)$ GUT with conformal gravity from a single supermultiplet
• An Algebraic Roadmap of Particle Theories, Part III: Intersections