IISER MOHALI

Abstract:
Neutrinoless double beta decay (0νββ) is a lepton number violating process that can provide important insights into the Majorana nature of neutrinos and physics beyond the Standard Model. In this talk, I will present our study of (0νββ) in the supersymmetric left-right symmetric model using an effective field theory approach below the left-right symmetry-breaking scale. The supersymmetric left-right model provides a framework for studying neutrino masses, lepton-number violation, and left-right symmetry breaking within a common setting. We focus on a sneutrino mediated contribution to (0νββ) in an R-parity conserving vacuum. In this scenario, lepton-number violation originates from Majorana type sneutrino mass terms, while the decay process is mediated by supersymmetric particles through the relevant sneutrino-neutralino interactions. Using the effective field theory approach, we integrate out the heavy degrees of freedom associated with the supersymmetric and left-right sectors and construct the effective operators responsible for (0νββ). We study the long-range and short-range contributions to the decay amplitude and examine their dependence on the sneutrino masses, neutralino masses, and relevant couplings. Particular attention is given to the role of the lightest supersymmetric particle (LSP), whose mass and composition can significantly affect the process. We further investigate the dependence of the (0νββ) constraints on the parameters governing left-right symmetry breaking. This allows us to explore the possible connection between low-energy lepton number violation and the parity-breaking scale. Finally, we discuss the implications of our results for current and future (0νββ) experiments and the prospects for probing supersymmetric left-right symmetry through low-energy lepton number violating observables.