Abstract
We discuss a scenario in which the supergravity induced soft terms, conventionally used for breaking supersymmetry, also lead to non-zero Majorana neutrino masses. The soft terms lead to the spontaneous violation of the lepton number at the gravitino mass scale m3/2 which in turn leads to (i) the Majorana masses of \( \mathcal{O} \)(m3/2) for the right-handed neutrinos and (ii) the R-parity breaking at the same scale. The former contributes to light neutrino masses through the type I seesaw mechanism, while the latter adds to it through neutrino-neutralino mixing. Both contributions can scale inversely with respect to m3/2 given that gaugino and Higgsino masses are also of order m3/2. Together, these two contributions adequately explain observed neutrino masses and mixing. One realization of the scenario also naturally leads to a μ parameter of \( \mathcal{O} \)(m3/2). Despite the lepton number symmetry breaking close to the weak scale, the Majoron in the model exhibits very weak coupling to leptons, satisfying existing constraints on Majoron-lepton interactions. The right-handed neutrinos in the model have a large coupling to Higgsinos. This coupling and the relatively large heavy-light neutrino mixing induced through the seesaw mechanism may lead to the observable signals at colliders in terms of displaced vertices.
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Acknowledgments
We acknowledge support from the Department of Space, Government of India. This work is partially supported under the MATRICS project (MTR/2021/000049) by the Science & Engineering Research Board (SERB), Department of Science and Technology (DST), Government of India. KMP acknowledges support from the ICTP through the Associates Programme (2023-2028) where part of this work was completed.
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Joshipura, A.S., Patel, K.M. Soft supersymmetry breaking as the sole origin of neutrino masses and lepton number violation. J. High Energ. Phys. 2024, 135 (2024). https://doi.org/10.1007/JHEP01(2024)135
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DOI: https://doi.org/10.1007/JHEP01(2024)135