Neutrino masses from SUSY breaking in radiative seesaw models

Abstract

Radiatively generated neutrino masses ($m_{\nu }$) are proportional to supersymmetry (SUSY) breaking, as a result of the SUSY non-renormalisation theorem. In this work, we investigate the space of SUSY radiative seesaw models with regard to their dependence on SUSY breaking ($\require{cancel}\cancel{\text{SUSY}}$). In addition to contributions from sources of $\cancel{\text{SUSY}}$ that are involved in electroweak symmetry breaking (${\cancel{\text{SUSY}}}_{\text{EWSB}}$ contributions), and which are manifest from $⟨F_H^{†}⟩=\mu ⟨\bar{H}⟩\ne 0$ and $⟨D⟩=g{\sum }_H⟨H^{†}{\otimes }_{H}H⟩\ne 0$, radiatively generated $m_{\nu }$ can also receive contributions from $\cancel{\text{SUSY}}$ sources that are unrelated to EWSB (${\cancel{\text{SUSY}}}_{\text{EWS}}$ contributions). We point out that recent literature overlooks pure-${\cancel{\text{SUSY}}}_{\text{EWSB}}$ contributions ($\propto \mu /M$) that can arise at the same order of perturbation theory as the leading order contribution from ${\cancel{\text{SUSY}}}_{\text{EWS}}$. We show that there exist realistic radiative seesaw models in which the leading order contribution to $m_{\nu }$ is proportional to ${\cancel{\text{SUSY}}}_{\text{EWS}}$. To our knowledge no model with such a feature exists in the literature. We give a complete description of the simplest model-topologies and their leading dependence on $\cancel{\text{SUSY}}$. We show that in one-loop realisations $LLHH$ operators are suppressed by at least $\mu m_{\text{soft}}/M^3$ or $m_{\text{soft}}^2/M^3$. We construct a model example based on a one-loop type-II seesaw. An interesting aspect of these models lies in the fact that the scale of soft-$\cancel{\text{SUSY}}$ effects generating the leading order $m_{\nu }$ can be quite small without conflicting with lower limits on the mass of new particles.

Accepted for publication in European Physical Journal C; 23 pages + appendices; references updated; minor revisions; extended conclusions

References in corpus (9)

• Neutrino mass, Dark Matter and Baryon Asymmetry via TeV-Scale Physics without Fine-Tuning
• New Mechanism for Neutrino Mass Generation and Triply Charged Higgs Bosons at the LHC
• A Model of TeV Scale Physics for Neutrino Mass, Dark Matter and Baryon Asymmetry and its Phenomenology
• On the Origin of Neutrino Masses
• Gauge and Yukawa mediated supersymmetry breaking in the triplet seesaw scenario
• Phenomenology of the triplet seesaw mechanism with Gauge and Yukawa mediation of SUSY breaking
• The Supersymmetric Higgs
• $\nu$-GMSB with Type III Seesaw and Phenomenology
• Beyond the standard seesaw: neutrino masses from Kahler operators and broken supersymmetry

Cited by in corpus (2)

• From the trees to the forest: a review of radiative neutrino mass models
• Renormalisation of SMEFT bosonic interactions up to dimension eight by LNV operators