Neutrino Mass and Neutrinoless double beta decay in SO(10) GUT with Pati-Salam symmetry

Abstract

We demonstrate how a class of non-supersymmetric $SO(10)$ GUT with asymmetric left-right theory $SU(2{)}_L\times U(1{)}_R\times U(1{)}_{B-L}\times SU(3{)}_C$ and Pati-Salam theory $SU(2{)}_L\times SU(2{)}_R\times SU(4{)}_C$ as intermediate symmetry breaking steps leads to successful gauge coupling unification satisfying proton decay constraints. The motivation behind this work is two fold: firstly to study the renormalization group evolution equations for gauge couplings by keeping right-handed neutral gauge boson $Z_R$ around LHC energy range leading interesting dilepton searches at collider while fixing charge partner of the gauge boson $W_R$ at very high scale; secondly to explain neutrino masses and associated lepton number violating process like neutrinoless double beta decay in three possible cases depending on how $SU(2{)}_L\times U(1{)}_R\times U(1{)}_{B-L}\times SU(3{)}_C$ breaks down to SM. We include one extra fermion singlet per generation in order to implement gauged extended seesaw where light neutrino mass is governed by natural type-II seesaw mechanism whereas type-I seesaw contribution is exactly canceled out. Since light neutrino mass formula is independent of Dirac neutrino mass matrix, the value of Dirac neutrino mass is taken to be up-type quark mass matrix which is a characteristics of Pati-Salam symmetry relating quarks with leptons. We present analytic relation for effective Majorana mass parameter and corresponding half-life arising from new physics contributions due to purely left-handed currents through exchange of heavy right-handed neutrinos and sterile neutrinos. We numerically estimate effective Majorana mass parameter and half-life vs. lightest neutrino mass and derive lower bound on lightest neutrino mass by saturating with experimental bounds like GERDA Phase-II, KamLANDZen and EXO.

38 pages, 15 figures, regular article

References in corpus (29)

• Updated fit to three neutrino mixing: status of leptonic CP violation
• Left-Right Symmetry: from LHC to Neutrinoless Double Beta Decay
• Probing New Physics Models of Neutrinoless Double Beta Decay with SuperNEMO
• Search for heavy neutrinos and W bosons with right-handed couplings in proton-proton collisions at sqrt(s) = 8 TeV
• Present and Future K and B Meson Mixing Constraints on TeV Scale Left-Right Symmetry
• First Limits on Left-Right Symmetry Scale from LHC Data
• Fermion masses and mixings in SO(10) models and the neutrino challenge to supersymmetric grand unified theories
• Left-Right Symmetry: from Majorana to Dirac
• Heavy neutrinos and the $pp\to lljj$ CMS data
• Search for anomalous production of prompt same-sign lepton pairs and pair-produced doubly charged Higgs bosons with $\sqrt{s}=8$ TeV $pp$ collisions using the ATLAS detector
• Neutrino Jets from High-Mass $W_R$ Gauge Bosons in TeV-Scale Left-Right Symmetric Models
• Strong P invariance, neutron EDM and minimal Left-Right parity at LHC
• Signal of Right-Handed Charged Gauge Bosons at the LHC?
• Lepton Number Violation and W' Chiral Couplings at the LHC
• Double Beta Decay, Lepton Flavour Violation and Collider Signatures of Left-Right Symmetric Models with Spontaneous D Parity Breaking
• Search for heavy neutrinos or third-generation leptoquarks in final states with two hadronically decaying tau leptons and two jets in proton-proton collisions at sqrt(s) = 13 TeV
• Leptogenesis Constraints on the Mass of Right-handed Gauge Bosons
• Exploring the Doubly Charged Higgs of the Left-Right Symmetric Model using Vector Boson Fusion-like Events at the LHC
• Left-right models with light neutrino mass prediction and dominant neutrinoless double beta decay rate
• The lowest limits on the doubly charged Higgs boson masses in the minimal left-right symmetric model
• Post-Sphaleron baryogenesis and $n-\bar{n}$ oscillation in non-SUSY SO(10) GUT with gauge coupling unification and proton decay
• TeV scale Left Right Symmetry with spontaneous D-parity breaking
• Perspectives for Detecting Lepton Flavour Violation in Left-Right Symmetric Models
• Neutrinoless Double Beta Decay in LRSM with Natural Type-II seesaw Dominance
• Production of the charged Higgs bosons at the CERN Large Hadron Collider in the left-right symmetric model
• $0\nu \beta \beta$ decay process in left-right symmetric models without scalar Bidoublet
• Limiting the Effective Mass and New Physics Parameters from $0\nu \beta \beta$
• Search for doubly charged Higgs bosons through VBF at the LHC, and beyond
• Type III Seesaw and Dark Matter in a Supersymmetric Left-Right Model