Neutrinoless double beta decay in a supersymmetric left-right model

Abstract: Neutrinoless double beta ($0\nu\beta\beta$) decay, an important low-energy process, serves not only as a potential test of the Majorana nature of neutrinos, but also as a sensitive probe for new physics beyond the Standard Model. In this study, the supersymmetric left-right model is explored to investigate its impact on $0\nu\beta\beta$ decay. Although the process takes place at low energies as compared to the electroweak scale, it carries the potential to provide indirect hints about the parity-breaking scale $\text{M}_R$. In this work, we formulate the decay amplitude using an effective field theory approach by separating long- and short-range contributions, each expressed in terms of dimensionless particle physics parameters and nuclear matrix elements. The analysis shows that the $\text{M}_R$ must lie above $1$ TeV, and future experiments may push it beyond $4 - 5$ TeV region. Another important outcome of this work is the role played by the tentative dark matter candidates, the lightest neutralino and sneutrino, which contribute significantly to the half-life of $0\nu\beta\beta$ decay. This suggests that if any supersymmetric particle is detected in future experiments, dark matter candidates will gain a permanent position in these extensions of the Standard Model.