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.
Nuclear Physics B
- Pub Date:
- September 2016
- High Energy Physics - Phenomenology
- 26 pages, 3 figures. Version accepted for publication in Nuclear Physics B (typos and numerical errors are corrected, and texts are added)