# Interference Between Light and Heavy Neutrinos for $0\nu\beta\beta$ Decay in the Left-Right Symmetric Model

## TL;DR

This paper investigates the interference effects between light and heavy neutrino exchange mechanisms in neutrinoless double-beta decay within the left-right symmetric model, providing detailed phase-space calculations and analyzing their dependence on nuclear properties.

## Contribution

It introduces a detailed calculation of interference phase-space factors for neutrinoless double-beta decay considering both light and heavy neutrino mechanisms in the left-right symmetric model.

## Key findings

- Calculated phase-space factors for multiple nuclides.
- Analyzed how interference effects vary with Q-value.
- Incorporated relativistic Coulomb distortion and nuclear size effects.

## Abstract

Neutrinoless double-beta decay is proposed as an important low energy phenomenon that could test beyond the Standard Model physics. There are several potentially competing beyond the Standard Model mechanisms that can induce the process. It thus becomes important to disentangle the different processes. In the present study we consider the interference effect between the light left-handed and heavy right-handed Majorana neutrino exchange mechanisms. The decay rate, and consequently, the phase-space factors for the interference term are derived, based on the left-right symmetric model. The numerical values for the interference phase-space factors for several nuclides are calculated, taking into consideration the relativistic Coulomb distortion of the electron wave function and finite-size of the nucleus. The variation of the interference effect with the Q-value of the process is studied.