Soft supersymmetry breaking as the sole origin of neutrino masses and lepton number violation

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 $m_{3/2}$ which in turn leads to (i) the Majorana masses of $\mathcal{O}(m_{3/2})$ 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 $m_{3/2}$ given that gaugino and Higgsino masses are also of order $m_{3/2}$. Together, these two contributions adequately explain observed neutrino masses and mixing. One realization of the scenario also naturally leads to a $\mu$ parameter of $\mathcal{O}(m_{3/2})$. 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.

arXiv commentV2: Added discussion, updated reference list, published version

References in corpus (43)

• A Supersymmetry Primer
• Theories with Gauge-Mediated Supersymmetry Breaking
• The fate of hints: updated global analysis of three-flavor neutrino oscillations
• R-parity violating supersymmetry
• The Next-to-Minimal Supersymmetric Standard Model
• Supersymmetric Unification Without Low Energy Supersymmetry And Signatures for Fine-Tuning at the LHC
• 2020 Global reassessment of the neutrino oscillation picture
• Neutrinos and Collider Physics
• Theory of Neutrinos: A White Paper
• Revisiting the bound on axion-photon coupling from Globular Clusters
• Neutrino Masses and Mixings from Supersymmetry with Bilinear R--Parity Violation: A Theory for Solar and Atmospheric Neutrino Oscillations
• Stabilized NMSSM without Domain Walls
• Red giant bound on the axion-electron coupling reexamined
• Planck-Scale Physics and Neutrino Masses
• Heavy neutrino searches at the LHC with displaced vertices
• Proposal for a Supersymmetric Standard Model
• Constructing star products on Poisson manifolds
• Constraining invisible neutrino decays with the cosmic microwave background
• Multilepton and Lepton Jet Probes of Sub-Weak-Scale Right-Handed Neutrinos
• A Supersymmetric Solution to the Solar and Atmospheric Neutrino Problems
• Neutrino masses and mixing, lightest neutralino decays and a solution to the $\mu$ problem in supersymmetry
• The seesaw mechanism at arbitrary order: disentangling the small scale from the large scale
• Models of Light Singlet Fermion and Neutrino Phenomenology
• Analysis of the parameter space and spectrum of the $\mu \nu$SSM
• Planck Scale Effects on the Majoron
• Heavy Neutrinos in displaced vertex searches at the LHC and HL-LHC
• Planck Scale Symmetry Breaking and Majoron Physics
• Sterile neutrino searches via displaced vertices at LHCb
• Neutrino Physics and Spontaneous CP Violation in the $\mu \nu$SSM
• Displaced vertices as probes of sterile neutrino mixing at the LHC
• Long-lived TeV-scale right-handed neutrino production at the LHC in gauged $U(1{)}_X$ model
• Quasi Goldstone Fermion As a Sterile Neutrino
• Inclusive Displaced Vertex Searches for Heavy Neutral Leptons at the LHC
• The Supersymmetric Singlet Majoron
• Seeking for sterile neutrinos with displaced leptons at the LHC
• Bi-maximal mixing and Bilinear R violation
• Searching for Supersymmetry: The $\mu \nu$SSM
• Electroweak superpartner production at 13.6 TeV with Resummino
• New Long Lived Particles Searches in Heavy Ion Collisions at the LHC
• Axino-Neutrino Mixing in Gauge-Mediated Supersymmetry Breaking Models
• Renormalization of the multi-Higgs-doublet Standard Model and one-loop lepton mass corrections
• Axino as a sterile neutrino and R parity violation
• Displaced Vertex signatures of a pseudo-Goldstone sterile neutrino