Viable quark-lepton Yukawa ratios and nucleon decay predictions in $SU(5)$ GUTs with type-II seesaw

Abstract

We investigate the viability of predictive schemes for quark-lepton Yukawa ratios and nucleon decay in non-supersymmetric SU(5) Grand Unified Theories (GUTs) where neutrino masses are generated by a type II seesaw mechanism. The scalar sector of the considered scenario contains 5-, 24- and 45-dimensional representations plus a 15-dimensional representation for realising the type II seesaw. Predictions for the ratios of the quark and lepton Yukawa couplings emerge when the relevant entries of the Yukawa matrices are generated from single joint GUT operators (i.e. under the condition of "single operator dominance"). Focusing on the 2nd and 3rd family and hierarchical Yukawa matrices, we show that only two sets of predictions, $\frac{y_{\tau }}{y_b}=\frac{3}{2}$, $\frac{y_{\mu }}{y_s}=\frac{9}{2}$ and $\frac{y_{\tau }}{y_b}=2$, $\frac{y_{\mu }}{y_s}=6$ are viable. To further investigate both options, we extend the minimal scenarios to two "toy models", including the 1st family of charged fermions, and calculate the models' predictions, e.g. for the nucleon decay rates and for the masses of the light relics that are potentially within reach of colliders.

20 pages + references, 6 figures

References in corpus (16)

• 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
• Probing seesaw at LHC
• Search for Proton Decay via $p\to \nu K^{+}$ using 260 kiloton$\cdot$year data of Super-Kamiokande
• 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
• New GUT predictions for quark and lepton mass ratios confronted with phenomenology
• θ^PMNS_13 = θ_C / \sqrt2 from GUTs
• Predictions from type II see-saw mechanism in SU(5)
• Fermion Masses and the UV Cutoff of the Minimal Realistic SU(5)
• Towards predictive flavour models in SUSY SU(5) GUTs with doublet-triplet splitting
• On the Origin of Two-Loop Neutrino Mass from SU(5) Grand Unification
• Towards Minimal SU(5)
• LHC bounds on coloured scalars
• LHC Constraints on Scalar Diquarks
• A Parameter Space Exploration of the Minimal SU(5) Unification
• Nucleon decay in a minimal non-SUSY GUT with predicted quark-lepton Yukawa ratios
• Predictions from a flavour GUT model combined with a SUSY breaking sector

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