TeV Lepton Number Violation: From Neutrinoless Double Beta Decay to the LHC

TL;DR

This paper compares the sensitivity of future neutrinoless double beta decay experiments and LHC searches for lepton number violation, highlighting their complementary roles near the TeV scale.

Contribution

It provides a comprehensive analysis including previously neglected effects, showing that tonne-scale $0 uetaeta$ experiments generally surpass LHC sensitivity, but both are complementary at TeV-scale masses.

Findings

Tonne-scale $0 uetaeta$ experiments typically have greater reach than the LHC.

LHC and $0 uetaeta$ are complementary for certain heavy particle masses.

Inclusion of backgrounds and long-range effects refines sensitivity estimates.

Abstract

We analyze the sensitivity of next-generation tonne-scale neutrinoless double $\beta$-decay ($0\nu\beta\beta$) experiments and searches for same-sign di-electrons plus jets at the Large Hadron Collider to TeV scale lepton number violating interactions. Taking into account previously unaccounted for physics and detector backgrounds at the LHC, renormalization group evolution, and long-range contributions to $0\nu\beta\beta$ nuclear matrix elements, we find that the reach of tonne-scale $0\nu\beta\beta$ generally exceeds that of the LHC. However, for a range of heavy particle masses near the TeV scale, the high luminosity LHC and tonne-scale $0\nu\beta\beta$ may provide complementary probes.