Constraints on lepton number violating short-range interactions from $|ΔL|=2$ processes

Abstract

In this work we study the short-range contributions that induce effective lepton number violating (LNV) interactions. We obtain a full set of constraints on the effective short-range couplings from a large variety of low-energy $|ΔL|= 2$ processes of pseudoscalar mesons $K, D, D_s, B$, and $τ$-lepton. These constraints provide complementary and additional information to the one obtained from the neutrinoless double-$β$ ($0νββ$) decay. As expected, the bounds on electron-electron short-range couplings are the only ones that are strongly constrained by the $0νββ$ decay. Although weaker, LNV effective couplings with different flavours are not accessible to $0νββ$ decay and these can be probe by the $|ΔL|= 2$ processes in consideration.