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Neutrino masses from SUSY breaking in radiative seesaw models
Radiatively generated neutrino masses () 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 that are involved in electroweak symmetry
breaking ( contributions), and which are
manifest from
and , radiatively generated can also receive contributions from
sources that are unrelated to EWSB
( contributions). We point out that recent
literature overlooks pure- contributions
() that can arise at the same order of perturbation theory as
the leading order contribution from .
We show that there exist realistic radiative seesaw models in which the
leading order contribution to is proportional to
. 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
. We show that in one-loop realisations
operators are suppressed by at least or
. 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- effects generating the leading order
can be quite small without conflicting with lower limits on the mass of
new particles.Comment: Accepted for publication in European Physical Journal C; 23 pages +
appendices; references updated; minor revisions; extended conclusion
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