Observable Proton Decay in Flipped SU(5)

Abstract

We explore proton decay in a class of realistic supersymmetric flipped $SU(5)$ models supplemented by a $U(1{)}_R$ symmetry which plays an essential role in implementing hybrid inflation. Two distinct neutrino mass models, based on inverse seesaw and type I seesaw, are identified, with the latter arising from the breaking of $U(1{)}_R$ by nonrenormalizable superpotential terms. Depending on the neutrino mass model an appropriate set of intermediate scale color triplets from the Higgs superfields play a key role in proton decay channels that include $p\to (e^{+},{\mu }^{+}){\pi }^0$, $p\to (e^{+},{\mu }^{+})K^0$, $p\to \overline{\nu }{\pi }^{+}$, and $p\to \overline{\nu }{K}^{+}$. We identify regions of the parameter space that yield proton lifetime estimates which are testable at Hyper-Kamiokande and other next generation experiments. We discuss how gauge coupling unification in the presence of intermediate scale particles is realized, and a $Z_4$ symmetry is utilized to show how such intermediate scales can arise in flipped $SU(5)$. Finally, we compare our predictions for proton decay with previous work based on $SU(5)$ and flipped $SU(5)$.

31 pages, 8 figures, JHEP published version [the analysis of second neutrino mass model has been corrected with few other minor changes]

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