$SO(10)$ inspired $Z^{\prime }$ models at the LHC

Abstract

We study and compare various $Z^{\prime }$ models arising from $SO(10)$, focussing in particular on the Abelian subgroup $U(1{)}_R\times U(1{)}_{B-L}$, broken at the TeV scale to Standard Model hypercharge $U(1{)}_Y$. The gauge group $U(1{)}_R\times U(1{)}_{B-L}$, which is equivalent to the $U(1{)}_Y\times U(1{)}_{\chi }$ in a different basis, is well motivated from $SO(10)$ breaking and allows neutrino mass via the linear seesaw mechanism. Assuming supersymmetry, we consider single step gauge unification to predict the gauge couplings, then consider the detection and characterisation prospects of the resulting $Z^{\prime }$ at the LHC by studying its possible decay modes into di-leptons as well as into Higgs bosons. The main new result here is to analyse in detail the expected leptonic forward-backward asymmetry at the high luminosity LHC and show that it may be used to discriminate the $U(1{)}_R\times U(1{)}_{B-L}$ model from the usual $B-L$ model based on $U(1{)}_Y\times U(1{)}_{B-L}$.

Revised numerical treatment of gauge kinetic mixing and clarifications to text, 24 pages, 8 figures

References in corpus (10)

• Z' physics with early LHC data
• Radiative B-L symmetry breaking in supersymmetric models
• Search for narrow resonances in dilepton mass spectra in proton-proton collisions at sqrt(s) = 13 TeV and combination with 8 TeV data
• Search for high-mass new phenomena in the dilepton final state using proton-proton collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• The Fate of R-Parity
• Flavourful $Z^{\prime }$ models for $R_{K^{(\ast )}}$
• Roadmap of left-right models based on GUTs
• Phenomenology of the minimal supersymmetric $U(1{)}_{B-L}\times U(1{)}_R$ extension of the standard model
• Proposal for generalised Supersymmetry Les Houches Accord for see-saw models and PDG numbering scheme
• Neutrino mass from M Theory SO(10)

Cited by in corpus (6)

• Gravitational waves and proton decay: complementary windows into GUTs
• Unification, Proton Decay and Topological Defects in non-SUSY GUTs with Thresholds
• $Z^{\prime }$ Mediated WIMPs: Dead, Dying, or Soon to be Detected?
• Non-universal Z' from SO(10) GUTs with vector-like family and the origin of neutrino masses
• Exceptional Unification of Families and Forces
• $SO(10)\to SU(5)\times U(1{)}_{\chi }$ as the Origin of Dark Matter