Abstract

Prediction of low-mass WR and ZR gauge bosons in popular grand unified theories has been the subject of considerable attention over the last three decades. In this work we show that when gravity induced corrections due to dim.5 operator are included the minimal symmetry breaking chain of SO(10) and E6 GUTs can yield WR± and ZR bosons with masses in the range (3 – 10) TeV which are accessible to experimental tests at the Large Hordan Collider. The RH neutrinos turn out to be heavy pseudo-Dirac fermions. The model can fit all fermion masses and manifest in rich structure of lepton flavor violation while proton life time is predicted to be much longer than the accessible limit of Super-Kamiokande or palnned Hyper-Kamiokande collaborations.

Highlights

  • Prediction of low-mass WR and ZR gauge bosons in popular grand unified theories has been the subject of considerable attention over the last three decades

  • The purpose of this work is to show that these gauge boson masses can be realised quite effectively in the minimal symmetry breraking chain of S O(10) or E6 GUT: S O(10), E6

  • The heavy neutrinos in this model are three pairs of pseudo-Dirac fermions which mediate charged lepton flavor violating decays with predictions on branching here MU = solution to the GUT scale that includes corrections due to dim.5 operator and the above boudary condition emerges by beaking the GUT symmetry through the VEVs of < η(1, 1, 1) >, < η′(1, 1, 15) >⊂ 210H where the quantum numbers are under S U(2)L × S U(2)R × S U(4)C

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Summary

Introduction

Prediction of low-mass WR and ZR gauge bosons in popular grand unified theories has been the subject of considerable attention over the last three decades. The purpose of this work is to show that these gauge boson masses can be realised quite effectively in the minimal symmetry breraking chain of S O(10) or E6 GUT: S O(10), E6 To accunt for tiny neutrino masses we use inverse seesaw formula [6] for which we include three additional singlet fermions S i(i = 1, 2, 3), one per each generation in case of S O(10) but they are parts of standard fermion representations 27Fi of E6.

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