Conformal Higgs, or techni-dilaton- composite Higgs near conformality
Abstract
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 in a wide region from the dynamical mass (TeV) of the techni-fermion all the way up to the intrinsic scale of the SWC TC (analogue of ), where is taken typically as the scale of the Extended TC scale : TeV . All the techni-hadrons have mass on the same order , which in SWC TC is extremely smaller than the intrinsic scale , in sharp contrast to QCD where both are of the same order. The mass of TD arises from the {\it non-perturbative scale anomaly} associated with the techni-fermion mass generation and is typically 500-600 GeV, even {\it smaller than other techni-hadrons} of the same order of , in another contrast to QCD which is believed to have no scalar 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.
Cite
@article{arxiv.1008.1834,
title = {Conformal Higgs, or techni-dilaton- composite Higgs near conformality},
author = {Koichi Yamawaki},
journal= {arXiv preprint arXiv:1008.1834},
year = {2010}
}
Comments
17 pages, 3 figures, to be published in Proceedings of 2009 Nagoya Global COE Workshop "Strong Coupling Gauge Theories in LHC Era" in Honor of Toshihide Maskawa's 70th Birthday and 35th Anniversary of Dynamical Symmetry Breaking in SCGT (SCGT 09), Dec. 8-11, 2009, Nagoya University, Nagoya 464-8602, Japan (World Scientific Co., Singapore)