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Soft supersymmetry breaking as the sole origin of neutrino masses and lepton number violation
High Energy Physics - Phenomenology · Submitted 26 Oct 2023
abstract compiled · 2026-09-23 · no language-model review
The authors' main claim Together, these two contributions adequately explain observed neutrino masses and mixing.
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The abstract, sentence by sentence
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 ${\cal O} (m_{3/2})$ 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 ${\cal O} (m_{3/2})$. 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.
background contribution method result interpretation main claim
| # | sentence | role | the authors' own work | states the main conclusion | strength |
|---|---|---|---|---|---|
| s0 | We discuss a scenario in which the supergravity induced soft terms, conventionally used for breaking supersymmetry, also lead to non-zero Majorana neutrino masses. | contribution 0.97 | 0.62 | 0.31 | asserted 0.70 |
| s1 | 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 ${\cal O} (m_{3/2})$ for the right-handed neutrinos and (ii) the $R$-parity breaking at the same scale. | result 0.68 | 0.60 | 0.19 | asserted 1.00 |
| s2 | The former contributes to light neutrino masses through the type I seesaw mechanism, while the latter adds to it through neutrino-neutralino mixing. | result 0.36 | 0.57 | 0.10 | asserted 0.99 |
| s3 | Both contributions can scale inversely with respect to $m_{3/2}$ given that gaugino and Higgsino masses are also of order $m_{3/2}$. | result 0.73 | 0.70 | 0.07 | hedged possibility 0.63 |
| s4 | Together, these two contributions adequately explain observed neutrino masses and mixing. | result 0.66 | 0.67 | 0.73 | asserted 0.90 |
| s5 | One realization of the scenario also naturally leads to a $\mu$ parameter of ${\cal O} (m_{3/2})$. | result 0.95 | 0.73 | 0.06 | asserted 0.70 |
| s6 | 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. | result 0.92 | 0.69 | 0.06 | asserted 0.99 |
| s7 | The right-handed neutrinos in the model have a large coupling to Higgsinos. | result 0.74 | 0.58 | 0.03 | asserted 1.00 |
| s8 | 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. | interpretation 0.92 | 0.44 | 0.07 | hedged possibility 1.00 |
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The paper
Original 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 ${\cal O} (m_{3/2})$ 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 ${\cal O} (m_{3/2})$. 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.
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How the literature uses it
What this paper does with the arXiv papers it cites
What it cites · 44 sentences without a confident label
Uses the method or tool of 1 paper
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Following the usual $χ^2$ optimization technique [ref] , we find several example solutions for the parameters in $m_ν$ which lead to the viable neutrino spectrum.
Weak scale right-handed neutrino as pseudo-Goldstone fermion of spontaneously broken $U(1)_{L_\mu-L_\tau}$ · Example solutions · 0.82
Uses data or values from 5 papers
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All these values correspond to the central values as obtained by the latest fit to the neutrino oscillation data (see, NuFIT 5.2) in [ref] .
The fate of hints: updated global analysis of three-flavor neutrino oscillations · Example solutions · 0.90
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This requirement translates into [ref] |g_ii| ≲ 10^-7 , |g_ij| ≲ 0.61 ×10^-11 (0.05 eV/m_ν_j)^2 ,for $i ≠j$ and $m_ν_j>m_ν_i$.
Red giant bound on the axion-electron coupling reexamined · Majoron-neutrino couplings · 0.80
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This requirement translates into [ref] |g_ii| ≲ 10^-7 , |g_ij| ≲ 0.61 ×10^-11 (0.05 eV/m_ν_j)^2 ,for $i ≠j$ and $m_ν_j>m_ν_i$.
Revisiting the bound on axion-photon coupling from Globular Clusters · Majoron-neutrino couplings · 0.80
Cites as background 9 papers
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In the model known as $μν$MSSM [ref] , the RH neutrino masses arise through the most general trilinear terms in the superpotential when their superpartners acquire non-vanishing vacuum.
Proposal for a Supersymmetric Standard Model · Introduction · 0.86
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In the model known as $μν$MSSM [ref] , the RH neutrino masses arise through the most general trilinear terms in the superpotential when their superpartners acquire non-vanishing vacuum.
Neutrino masses and mixing, lightest neutralino decays and a solution to the $\mu$ problem in supersymmetry · Introduction · 0.86
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In the model known as $μν$MSSM [ref] , the RH neutrino masses arise through the most general trilinear terms in the superpotential when their superpartners acquire non-vanishing vacuum.
Neutrino Physics and Spontaneous CP Violation in the $\mu\nu$SSM · Introduction · 0.86
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