  We construct a conformal version of a general multi-Higgs-doublet model with
additional right-handed neutrino gauge-singlets. Assuming a minimal extension
of the scalar sector by a real singlet field, we show that the resulting model
achieves the same attractive properties as the non-conformal theory, combining
the seesaw mechanism and higher-order mass production to generate naturally
light neutrino masses. Starting with dimensionless couplings only, all masses
and energy scales in the theory (including the heavy Majorana masses and the
electroweak scale) are obtained from dimensional transmutation via the
Coleman-Weinberg mechanism. A characteristic feature of the conformal model is
the appearance of the scalon in the scalar spectrum.The mass of this particle,
which can be expressed in terms of the masses of the other particles in the
theory, is produced at the one-loop level. We establish a connection between
the large seesaw scale and a suppression of the scalon interactions. The
positivity condition for the squared scalon mass requires sufficiently large
masses of the additional Higgs bosons balancing the contributions of the heavy
neutrinos.
