Double Beta Decay, Lepton Flavour Violation and Collider Signatures of Left-Right Symmetric Models with Spontaneous D Parity Breaking

TL;DR

This paper explores left-right symmetric models with spontaneous D parity breaking embedded in SO(10) GUTs, analyzing their implications for neutrinoless double beta decay, lepton flavor violation, and LHC signatures, especially considering a suppressed right-handed gauge coupling.

Contribution

It introduces a class of LRSMs with D parity breaking that predicts a reduced right-handed gauge coupling, impacting collider signals and rare decay processes, and interprets LHC excesses within this framework.

Findings

Reduced g_R explains LHC excess at 2 TeV as right-handed gauge boson

Suppressed right-handed currents diminish neutrinoless double beta decay contributions

Stringent bounds from lepton flavor violation challenge LHC observability

Abstract

We propose a class of left-right symmetric models (LRSMs) with spontaneous D parity breaking, where SU(2)_R breaks at the TeV scale while discrete left-right symmetry breaks around 10^9 GeV. By embedding this framework in a non-supersymmetric SO(10) Grand Unified Theory (GUT) with Pati-Salam symmetry as the highest intermediate breaking step, we obtain g_R / g_L ~ 0.6 between the right- and left-handed gauge couplings at the TeV scale. This leads to a suppression of beyond the Standard Model phenomena induced by the right-handed gauge coupling. Here we focus specifically on the consequences for neutrinoless double beta decay, low energy lepton flavour violation and LHC signatures due to the suppressed right handed currents. Interestingly, the reduced g_R allows us to interpret an excess of events observed recently in the range of 1.9 TeV to 2.4 TeV by the CMS group at the LHC as the signature of a right handed gauge boson in LRSMs with spontaneous D parity breaking. Moreover, the reduced right-handed gauge coupling also strongly suppresses the non-standard contribution of heavy states to the neutrinoless double beta decay rate as well as the amplitude of low energy lepton flavour violating processes. In a dominant type-II Seesaw mechanism of neutrino mass generation, we find that both sets of observables provide stringent and complimentary bounds which make it challenging to observe the scenario at the LHC.