Seesaw Scale, Unification, and Proton Decay

Abstract

We investigate a simple realistic grand unified theory based on the $SU(5)$ gauge symmetry which predicts an upper bound on the proton decay lifetime for the channels $p\to K^{+}\bar{\nu }$ and $p\to {\pi }^{+}\bar{\nu }$, i.e. $\tau (p\to K^{+}\bar{\nu })\lesssim 3.4\times 10^{35}$ and $\tau (p\to {\pi }^{+}\bar{\nu })\lesssim 1.7\times 10^{34}$ years, respectively. In this context, the neutrino masses are generated through the type I and type III seesaw mechanisms, and one predicts that the field responsible for type III seesaw must be light with a mass below 500 TeV. We discuss the testability of this theory at current and future proton decay experiments.

new plot and appendix, minor corrections, version to appear in Physical Review D

References in corpus (7)

• Search for Proton Decay via $p\to e^{+}{\pi }^0$ and $p\to {\mu }^{+}{\pi }^0$ in 0.31 megaton$\cdot$years exposure of the Super-Kamiokande Water Cherenkov Detector
• Improved lattice computation of proton decay matrix elements
• Probing seesaw at LHC
• Search for Proton Decay via $p\to \nu K^{+}$ using 260 kiloton$\cdot$year data of Super-Kamiokande
• Renormalizable Adjoint SU(5)
• Upper Bound on the Mass of the Type III Seesaw Triplet in an SU(5) Model
• Renormalizable SU(5) Unification

Cited by in corpus (13)

• Search for proton decay via $p\to e^{+}{\pi }^0$ and $p\to {\mu }^{+}{\pi }^0$ with an enlarged fiducial volume in Super-Kamiokande I-IV
• Unification, Proton Decay and Topological Defects in non-SUSY GUTs with Thresholds
• GUT Physics in the era of the LHC
• Axion mass prediction from minimal grand unification
• The QCD Axion and Unification
• Towards Minimal SU(5)
• Lepton Flavour Violation in minimal grand-unified type II seesaw models
• Quark-lepton Yukawa ratios and nucleon decay in SU(5) GUTs with type-III seesaw
• $W$ Boson Mass and Grand Unification via the Type-$\mathrm{I}\mathrm{I}$ Seesaw-like Mechanism
• Quantum corrections and the minimal Yukawa sector of $SU(5)$
• SU(5) unification of two triplet seesaw and leptogenesis with dark matter and vacuum stability
• Exploring flavour space of an economical SU(5) GUT in future proton decay measurements
• Revisiting $\mathrm{SU}(5)$ Yukawa Sectors Through Quantum Corrections