CONFORMAL HIGGS, OR TECHNI-DILATON - COMPOSITE HIGGS NEAR CONFORMALITY

In contrast to the folklore that Technicolor (TC) is a Higgsless theory, we shall discuss existence of a composite Higgs boson, Techni-Dilaton (TD), a pseudo-Nambu-Goldstone boson of the scale invariance in the Scale-invariant/Walking/Conformal TC (SWC TC) which generates a large anomalous dimension gamma(m) similar or equal to 1 in a wide region from the dynamical mass m = O (TeV) of the techni-fermion all the way up to the intrinsic scale Lambda(TC) of the SWC TC (analogue of A(QCD)), where Lambda(TC) is taken typically as the scale of the Extended TC scale Lambda(ETC): Lambda(TC) similar or equal to Lambda(ETC) 10(3) TeV (>> m). All the techni-hadrons have mass on the same order O(m), which in SWC TC is extremely smaller than the intrinsic scale Lambda(TC) similar or equal to Lambda(ETC), in sharp contrast to QCD where both are of the same order. The mass of TD arises from the non-perturbative scale anomaly associated with the techni-fermion mass generation and is typically 500-600 GeV, even smaller than other techni-hadrons of the same order of O(m), in another contrast to QCD which is believed to have no scalar (q) over barq bound state lighter than other hadrons. We discuss the TD mass in various methods, Gauged NJL model via ladder Schwinger-Dyson (SD) equation, straightforward calculations in the ladder SD/Bethe-Salpeter equation, and the holographic approach including techni-gluon condensate. The TD may be discovered in LHC.