  A Higgs-like new boson with mass around 126 GeV is now established, but its
true nature probably cannot be settled with 2011--2012 LHC data. We assume it
is a dilaton with couplings weaker than the Higgs boson (except to
$\gamma\gamma$ and $gg$), and explore dynamical symmetry breaking (DSB) by
strong Yukawa coupling of a yet unseen heavy chiral quark doublet $Q$. Assuming
the actual Higgs boson to be heavy, the Goldstone boson $G$ of electroweak
symmetry breaking still couples to $Q$ with Yukawa coupling $\lambda_Q$. A
``bootstrap" gap equation without a Higgs particle is constructed. Electroweak
symmetry breaking via strong $\lambda_Q$ generates both heavy mass for $Q$,
while self-consistently justifying $G$ as a massless Goldstone particle in the
loop. The spontaneous breaking of scale invariance in principle \emph{allows}
for a dilaton. We numerically solve such a gap equation and find the mass of
the heavy quark to be a couple of TeV. We offer a short critique on the results
of the scale-invariant model of Hung and Xiong, where a similar gap equation is
built with a massless scalar doublet. Through this we show that a light SM
Higgs at 126 GeV cannot be viable within our approach to DSB, while a dilaton
with weaker couplings is consistent with our main result.
