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 ${\gamma }_m\simeq 1$ in a wide region from the dynamical mass $m$ $=\mathcal{O}$ (TeV) of the techni-fermion all the way up to the intrinsic scale ${\Lambda }_{\mathrm{TC}}$ of the SWC TC (analogue of ${\Lambda }_{\mathrm{QCD}}$), where ${\Lambda }_{\mathrm{TC}}$ is taken typically as the scale of the Extended TC scale ${\Lambda }_{\mathrm{ETC}}$: ${\Lambda }_{\mathrm{TC}}\simeq {\Lambda }_{\mathrm{ETC}}\sim 10^3$ TeV $(\gg m)$. All the techni-hadrons have mass on the same order $\mathcal{O}(m)$, which in SWC TC is extremely smaller than the intrinsic scale ${\Lambda }_{\mathrm{TC}}\simeq {\Lambda }_{\mathrm{ETC}}$, 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 $\mathcal{O}(m)$, in another contrast to QCD which is believed to have no scalar $\bar{q}q$ 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.

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)

References in corpus (7)

• Unparticle Physics
• Conformality Lost
• Conformal Phase Transition in Gauge Theories
• $S$ Parameter in the Holographic Walking/Conformal Technicolor
• Renormalization in the Gauged Nambu--Jona-Lasinio Model
• A Comment on the Zero Temperature Chiral Phase Transition in $SU(N)$ Gauge Theories
• Wilson Renormalization Group Equations for the Critical Dynamics of Chiral Symmetry

Cited by in corpus (12)

• Global Analysis of the Higgs Candidate with Mass ~ 125 GeV
• Global Analysis of Experimental Constraints on a Possible Higgs-Like Particle with Mass ~ 125 GeV
• Techni-dilaton at Conformal Edge
• Holographic techni-dilaton at 125 GeV
• Mass Generation, the Cosmological Constant Problem, Conformal Symmetry, and the Higgs Boson
• Discovering 125 GeV techni-dilaton at LHC
• Techni-dilaton at 125 GeV
• Phenomenology and Cosmology of an Electroweak Pseudo-Dilaton and Electroweak Baryons
• Dilaton constraints and LHC prospects
• Walking on the Ladder: 125 GeV Technidilaton, or Conformal Higgs -Dedicated to the late Professor Yoichiro Nambu-
• A Light Scalar in Low-Scale Technicolor
• Electroweak Chiral Lagrangian from TC2 Model with nontrivial TC fermion condensation and walking