Abstract

We discuss a class of left–right symmetric models where the light neutrino masses originate dominantly from type-I seesaw mechanism along with a sub-dominant type-II seesaw contribution. The dominant type-I seesaw gives rise to tri-bimaximal type neutrino mixing, whereas sub-dominant type-II seesaw acts as a small perturbation giving rise to non-zero θ13 in our model which also has TeV scale right-handed neutrinos and Z′ gauge boson thereby making the model verifiable at current accelerator experiments. Sub-dominant type-II and dominant type-I seesaw can be naturally accommodated by allowing spontaneous breaking of D-parity and SU(2)R gauge symmetry at high scale and allowing TeV scale breaking of U(1)R×U(1)B−L into U(1)Y. We also embed the left–right model in a non-supersymmetric SO(10) grand unified theory (GUT) with verifiable TeV scale Z′ gauge boson. Drawing it to an end, we scrutinize in detail the evaluation of one-loop renormalization group evolution for relevant gauge couplings and estimation of the proton life time which can be accessible to the foreseeable experiments. And in the aftermost part we make an estimation of branching ratio for lepton flavor violating process μ→e+γ as a function of type-II seesaw strength due to doubly charged component of the right-handed Higgs triplet with mass at the TeV scale, which can be accessible at ongoing experiments.

Highlights

  • The fact that the most successful phenomenological theory, the standard model (SM) of particle physics, suffers from the inability to address several observed phenomena as well as theoretical questions, has always been a source of excitement for particle physicists

  • Speaking, the RH neutrinos are singlets under the SM gauge symmetry and can have arbitrary Majorana masses leading to light neutrino masses as mIν ≃ yνv2/MN, where yν is the Dirac Yukawa coupling, v = 246 GeV is the vacuum expectation value (VEV) of the SM Higgs and MN is the RH Majorana neutrino mass

  • Apart from this, we investigate whether such a choice of intermediate symmetry breaking scales allows the possibility to unify all the gauge couplings while being embedded in a non-supersymmetric SO(10) grand unified theory

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Summary

INTRODUCTION

Apart from this, we investigate whether such a choice of intermediate symmetry breaking scales allows the possibility to unify all the gauge couplings while being embedded in a non-supersymmetric SO(10) grand unified theory With all these motivations, we present a SO(10) model with a novel chain of symmetry breaking having left-right symmetry as an intermediate step giving neutrino masses through type-I plus type-II seesaw mechanisms, unification of three fundamental forces, prediction of proton life time accessible to the ongoing search experiments and most importantly, a low mass Z′ gauge boson which can be probed at LHC.

LEFT-RIGHT SYMMETRIC MODEL WITH SPONTANEOUS D-PARITY BREAKING
NEUTRINO MASS
GAUGE COUPLING EVOLUTION WITH ONE-LOOP ANALYSIS
40 SU 2 L
ESTIMATION OF PROTON LIFE TIME τp
LEPTON FLAVOR VIOLATING DECAYS
VIII. CONCLUSIONS
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