Pati-Salam Unification from Non-commutative Geometry and the TeV-scale $W_R$ boson

Abstract

We analyze the compatibility of the unified left-right symmetric Pati-Salam models motivated by non-commutative geometry and the TeV scale right-handed W boson suggested by recent LHC data. We find that the unification/matching conditions place conflicting demands on the symmetry breaking scales and that generating the required W_R mass and coupling is non-trivial.

32 pages, 7 figures; minor changes made, references added

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• Lorentz signature and twisted spectral triples
• Multiboson production in W' decays
• Exotic Gravitational Wave Signatures from Simultaneous Phase Transitions
• A survey of spectral models of gravity coupled to matter
• $B$-decay anomalies and scalar leptoquarks in unified Pati-Salam models from noncommutative geometry
• On de Sitter Spacetime and String Theory
• The ATLAS Diboson Resonance in Non-Supersymmetric SO(10)
• SO(10) grand unification in light of recent LHC searches and colored scalars at the TeV-scale
• The 750 GeV diphoton excess in unified $SU(2{)}_L\times SU(2{)}_R\times SU(4)$ models from noncommutative geometry
• String Theory, the Dark Sector and the Hierarchy Problem
• Spectral Noncommutative Geometry, Standard Model and all that
• Prospects for Detecting light bosons at the FCC-ee and CEPC
• Clifford Structures in Noncommutative Geometry and the Extended Scalar Sector
• Alternative search strategies for a BSM resonance fitting ATLAS diboson excess
• Noncommutative geometry, the Lorentzian Standard Model and its B-L extension
• LHC probes of TeV-scale scalars in $\mathrm{SO}(10)$ grand unification
• Analysis of right-handed Majorana neutrino mass in an $SU(4)\times SU(2{)}_L\times SU(2{)}_R$ Pati--Salam model with democratic texture
• Clifford-based spectral action and renormalization group analysis of the gauge couplings
• Angular observables for spin discrimination in boosted diboson final states
• A new solar neutrino channel for grand-unification monopole searches
• Pure gauge theory for the gravitational spin connection
• Pseudo-Riemannian Structures in Pati-Salam models