Left-right symmetry at LHC and precise 1-loop low energy data

TL;DR

This paper investigates the potential to test the minimal left-right symmetric model at the LHC by analyzing the interplay between high-energy collider signals and low-energy precision constraints, especially muon decay data.

Contribution

It provides a detailed analysis of how low-energy constraints limit LHC signals in the minimal left-right symmetric model, highlighting the correlation between heavy neutrino, gauge boson, and Higgs masses.

Findings

LHC signals are strongly constrained by muon decay data.

Heavy neutrino and gauge boson masses are limited to specific ranges by low-energy data.

Heavy Higgs particles have negligible influence on the considered LHC process.

Abstract

Despite many tests, even the Minimal Manifest Left-Right Symmetric Model (MLRSM) has never been ultimately confirmed or falsified. LHC gives a new possibility to test directly the most conservative version of left-right symmetric models at so far not reachable energy scales. If we take into account precise limits on the model which come from low energy processes, like the muon decay, possible LHC signals are strongly limited through the correlations of parameters among heavy neutrinos, heavy gauge bosons and heavy Higgs particles. To illustrate the situation in the context of LHC, we consider the "golden" process $pp \to e^+ N$. For instance, in a case of degenerate heavy neutrinos and heavy Higgs masses at 15 TeV (in agreement with FCNC bounds) we get $\sigma(pp \to e^+ N)>10$ fb at $\sqrt{s}=14$ TeV which is consistent with muon decay data for a very limited $W_2$ masses in the range (3008 GeV, 3040 GeV). Without restrictions coming from the muon data, $W_2$ masses would be in the range (1.0 TeV, 3.5 TeV). Influence of heavy Higgs particles themselves on the considered LHC process is negligible (the same is true for the light, SM neutral Higgs scalar analog). In the paper decay modes of the right-handed heavy gauge bosons and heavy neutrinos are also discussed. Both scenarios with typical see-saw light-heavy neutrino mixings and the mixings which are independent of heavy neutrino masses are considered. In the second case heavy neutrino decays to the heavy charged gauge bosons not necessarily dominate over decay modes which include only light, SM-like particles.