  Following previous work, we identify a symmetry S_nat that generalizes the
concept of custodial symmetry, keeping under control deviations from the
Standard Model (SM). To realize S_nat linearly, the space of gauge fields has
to be extended. Covariant constraints formulated in terms of spurions reduce
S_nat back to SU(2)_L x U(1)_Y. This allows for a covariant introduction of
explicit S_nat-breaking parameters. We assume that S_nat is at play in a theory
of electroweak symmetry-breaking without a light Higgs particle. We describe
some consequences of this assumption, using a non-decoupling effective theory
in which the loop expansion procedure is based on both momentum and spurion
power counting, as in Chiral Perturbation Theory. A hierarchy of lepton-number
violating effects follows. Leading corrections to the SM are non-oblique. The
effective theory includes stable light right-handed neutrinos, with an unbroken
Z_2 symmetry forbidding neutrino Dirac masses. nu_R contribution to dark matter
places bounds on their masses.
