Systematic study of one-loop realizations of $d=7$ long-range $0\nu\beta\beta$ decay operators

TL;DR

This paper systematically analyzes one-loop realizations of dimension-7 operators responsible for long-range neutrinoless double beta decay, identifying topologies, quantum number assignments, and phenomenological implications.

Contribution

It provides a comprehensive classification of one-loop topologies and diagrams for $0 uetaeta$ decay operators, including model examples and phenomenological predictions.

Findings

Identified 3 genuine one-loop topologies and 8 diagrams.

Presented a model generating Majorana neutrino mass at three-loop level.

Analyzed light neutrino mass and $0 uetaeta$ decay half-life predictions.

Abstract

We study the systematical one-loop decomposition of the dimension-7 long-range $0\nu\beta\beta$ decay operators. We find that there are 3 genuine one-loop topologies and 8 diagrams. The procedure to determine the SM quantum number assignments for both internal and external fields is presented. The Majorana neutrino mass in long-range $0\nu\beta\beta$ models is discussed. We also present a one-loop $0\nu\beta\beta$ decay model which produces Majorana neutrino mass at three-loop level. The phenomenological predictions for light neutrino mass and $0\nu\beta\beta$ decay half-life time including both mass mechanism and long-range contribution are studied.