Constraints on lepton number violating short-range interactions from $|\Delta L|=2$ 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 $|\Delta L|=2$ processes of pseudoscalar mesons $K,D,D_s,B$, and $\tau$-lepton. These constraints provide complementary and additional information to the one obtained from the neutrinoless double-$\beta$ ($0\nu \beta \beta$) decay. As expected, the bounds on electron-electron short-range couplings are the only ones that are strongly constrained by the $0\nu \beta \beta$ decay. Although weaker, LNV effective couplings with different flavours are not accessible to $0\nu \beta \beta$ decay and these can be probe by the $|\Delta L|=2$ processes in consideration.

8 pages, 1 figure. v3: references added, discussion extended, section IV included, conclusions unchanged, matches with version published in Phys. Lett. B

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• Effective field theory approach to lepton number violating decays $K^{\pm }\to {\pi }^{\mp }{l}^{\pm }{l}^{\pm }$: short-distance contribution
• On Lepton-Number-Violating Searches for Muon to Positron Conversion
• Shining Light on the Mass Scale and Nature of Neutrinos with $e\gamma \to e\nu \overline{\nu }$
• $\Delta$L=2 hyperon decays induced by Majorana neutrinos and doubly-charged scalars
• Doubly-charged scalar in rare decays of $B_c$ meson
• Large $\nu$-$\bar{\nu }$ Oscillations from High-Dimensional Lepton Number Violating Operator
• QCD Running in Lepton Number Violating Meson and Tau Decays
• Doubly-charged scalar in four-body decays of neutral flavored mesons