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We reanalyze the constraints imposed on lepton-number violating interactionsby radiative contributions to neutrino masses at the one- and two-loop level insupersymmetric models without R-parity. The interactions considered are the$\Delta L=1$ superpotential operators $\lambda_{ijk} L_i L_j E^c_k$ and$\lambda^\prime_{ijk} L_i Q_j D^c_k$, and the $\Delta L=1$ soft terms $A_{ijk}\tilde{L}_i \tilde{L}_j \tilde{E}^c_k$ and $A_{ijk}^\prime \tilde{L}_i\tilde{Q}_j \tilde{D}^c_k$. It is shown how the constraints on the couplings$\lambda_{ijk}$ and $\lambda^\prime_{ijk}$ coming from the one-loop analysiscan be evaded. In such a case, the two-loop contributions to neutrino massesbecome important. The combined one- and two-loop analysis yields constraints onthe couplings $\lambda_{i33}$ and $\lambda^\prime_{i33}$ that are ratherdifficult to escape. The two-loop analysis yields also new constraints on$A_{i33}$ and $A^\prime_{i33}$, which are not bounded at the one-loop level.More freedom remains for couplings $\lambda_{ijk}$, $\lambda^\prime_{ijk}$, and$A_{ijk}$, $A^\prime_{ijk}$, when $j$ and $k$ are first- or second-generationindices.Comment: 19 pages, 4 figures, and 2 tables. Version to appear in Phys. Rev.

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Novel constraints on<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Δ</mml:mi><mml:mi>L</mml:mi><mml:mo>=</mml:mo><mml:mn>1</mml:mn><mml:mn /></mml:math>interactions from neutrino masses

Novel constraints onΔL=1interactions from neutrino masses