Proton decay and new contribution to neutrino-less double beta decay in SO(10) with low-mass Z-prime boson, observable n-nbar oscillation, lepton flavor violation, and rare kaon decay

Abstract

Conventionally for observable $n-\bar{n}$ oscillation through Pati-Salam intermediate gauge symmetry in $SO(10)$, the canonical seesaw mechanism is also constrained by $M_R\sim M_C\le 10^6$ GeV which yields light neutrino masses much larger than the neutrino oscillation data. Recently, this difficulty has been evaded via inverse seesaw mechanism, but with proton lifetime far beyond the experimentally accessible limits. In the present work, adopting the view that we may have only a TeV scale $Z^{\prime }$ gauge boson, we show how a class of non-SUSY $SO(10)$ models allow experimentally verifiable proton lifetime and the new contributions to neutrinoless double beta decay in the $W_L-W_L$ channel, lepton flavor violating branching ratios, observable $n-\bar{n}$ oscillation, and lepto-quark gauge boson mediated rare kaon decays. The occurrence of Pati-Salam gauge symmetry with unbroken D-parity and two gauge couplings at the highest intermediate scale guarantees precision unification in such models. This symmetry also ensures vanishing GUT threshold uncertainy on ${\sin }^2{\theta }_W$ or on the highest intermediate scale. Although the proton lifetime prediction is brought closer to the ongoing search limits with GUT threshold effects in the minimal model, no such effects are needed in a non-minimal model. We derive a new analytic expression for the $0\nu \beta \beta$ decay half-life and show how the existing experimental limits impose the lower bound on the lightest of the three heavy sterile neutrino masses, $M_{S_1}\ge 14\pm 4$ GeV. We also derive a new lower bound on the lepto-quark gauge boson mass mediating rare kaon decay, $M_{\mathrm{lepto}}\ge (1.53\pm 0.06)\times 10^6$ GeV. The $n-\bar{n}$ mixing times are predicted in the range${\tau }_{n-\bar{n}}\simeq 10^8-10^{13}$ sec.

36 pages Latex, 9 figures and 5 tables

References in corpus (21)

• Global status of neutrino oscillation parameters after Neutrino-2012
• Right-Handed Neutrinos at LHC and the Mechanism of Neutrino Mass Generation
• Search for Neutrinoless Double-Beta Decay in ${}^{136}$Xe with EXO-200
• Limit on Neutrinoless ββ Decay of Xe-136 from the First Phase of KamLAND-Zen and Comparison with the Positive Claim in Ge-76
• Unitarity of the Leptonic Mixing Matrix
• Non-Standard Neutrino Interactions with Matter from Physics Beyond the Standard Model
• CP-violation from non-unitary leptonic mixing
• Results from a search for the $0\nu \beta \beta$-decay of ${}^{130}Te$
• Fundamental Physics at the Intensity Frontier
• Electroweak scale seesaw and heavy Dirac neutrino signals at LHC
• Search for heavy neutrinos and right-handed W bosons in events with two leptons and jets in pp collisions at sqrt(s) = 7 TeV with the ATLAS detector
• Probing non-unitary mixing and CP-violation at a Neutrino Factory
• Search for Nucleon Decay into Charged Anti-lepton plus Meson in Super-Kamiokande I and II
• Search for narrow resonances and quantum black holes in inclusive and b-tagged dijet mass spectra from pp collisions at sqrt(s) = 7 TeV
• CP violation in neutrino oscillations and new physics
• Search for heavy neutrinos and W[R] bosons with right-handed couplings in a left-right symmetric model in pp collisions at sqrt(s) = 7 TeV
• LHC-scale left-right symmetry and unification
• Baryon Number Violation
• Neutrino mass and low-scale leptogenesis in a testable SUSY SO(10) model
• Inverse see-saw, leptogenesis, observable proton decay and ${\Delta }_{\mathrm{R}}^{\pm \pm }$ in SUSY SO(10) with heavy W_R
• Flavor Physics Constraints on TeV Scale Color Sextet Scalars

Cited by in corpus (14)

• Safe Pati-Salam
• An $A_4$ realization of inverse seesaw: neutrino masses, ${\theta }_{13}$ and leptonic non-unitarity
• Standard Coupling Unification in SO(10), Hybrid Seesaw Neutrino Mass and Leptogenesis, Dark Matter, and Proton Lifetime Predictions
• Vector-Like Quarks and Leptons, SU(5) $\otimes$ SU(5) Grand Unification, and Proton Decay
• Half-life Expectations for Neutrinoless Double Beta Decay in Standard and Non-Standard Scenarios
• Planck-scale induced left-right gauge theory at LHC and experimental tests
• $B-L$ violating nucleon decays as a probe of leptoquarks and implications for baryogenesis
• Radiatively Induced Fermi Scale in Grand Unified Theories
• High Scale Type-II Seesaw, Dominant Double Beta Decay within Cosmological Bound and Verifiable LFV Decays in SU(5)
• Neutrino Mass, Coupling Unification, Verifiable Proton Decay, Vacuum Stability and WIMP Dark Matter in SU(5)
• Singlet Fermion Assisted Dominant Seesaw with Lepton Flavor and Number Violations and Leptogenesis
• Unification Predictions With or Without Supersymmetry
• Neutrino Mass and Neutrinoless double beta decay in SO(10) GUT with Pati-Salam symmetry
• Vacuum alignment and radiatively induced Fermi scale