Pion dominance in RPV SUSY induced neutrinoless double beta decay

TL;DR

This paper demonstrates that in RPV SUSY models, neutrinoless double beta decay is predominantly mediated by charged pion exchange, highlighting the pion's dominant role in both short- and long-range contributions.

Contribution

The study reveals that pion exchange dominates RPV SUSY contributions to neutrinoless double beta decay, extending previous understanding to long-range effects.

Findings

Pion exchange is dominant in short-range RPV SUSY contributions.

Pion exchange also dominates in long-range RPV SUSY contributions.

RPV SUSY contributions primarily occur via charged pion exchange.

Abstract

At the quark level there are basically two types of contributions of R-parity violating SUSY (RPV SUSY) to neutrinoless double beta decay: the short-range contribution involving only heavy virtual superpartners and the long-range one with the virtual squark and neutrino. Hadronization of the effective operators, corresponding to these two types of contributions, may in general involve virtual pions in addition to the close on-mass-shell nucleons. It is known that the short-range contribution is dominated by the pion exchange. In the present paper we show that this is also true for the long-range RPV SUSY contribution and, therefore, the RPV SUSY contributes to the neutrinoless double beta decay dominantly via charged pion exchange between the decaying nucleons.