Dissecting Lepton Number Violating Interactions in the Left-Right Symmetric Model: $0\nu\beta\beta$ decay, M{\o}ller scattering, and collider searches

TL;DR

This paper investigates how lepton number violating interactions in the left-right symmetric model influence neutrinoless double beta decay, M{ }oller scattering, and collider experiments, revealing complementary sensitivities and new avenues for probing new physics.

Contribution

It provides a comprehensive analysis of the interplay between low-energy and high-energy experiments in constraining lepton number violation within the left-right symmetric model, including the effects of right-handed neutrinos and W boson mixing.

Findings

Collider and low-energy experiments are complementary in probing lepton number violation.

Left-right mixing significantly affects the sensitivities of different experimental approaches.

The study identifies regions of parameter space accessible to collider searches but not to $0 uetaeta$ decay.

Abstract

In the context of the left-right symmetric model, we study the interplay of neutrinoless double beta ($0\nu\beta\beta$) decay, parity-violating M{\o}ller scattering, and high-energy colliders, resulting from the Yukawa interaction of the right-handed doubly-charged scalar to electrons, which could evade the severe constraints from charged lepton flavor violation. The $0\nu\beta\beta$ decay amplitude receives additional contributions from right-handed sterile neutrinos. The half-life, calculated in the effective field theory (EFT) framework, allows for an improved description of the contributions involving non-zero mixing between left- and right-handed $W$ bosons and those arising from exchanging a light right-handed neutrino. We find that the relative sensitivities between the low-energy (or high-precision) and high-energy experiments are affected by the left-right mixing. On the other hand, our results show how the interplay of collider and low-energy searches provides a manner to explore regions that are inaccessible to $0\nu\beta\beta$ decay experiments.