A higgs-like dilaton
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We examine the possibility that the recently discovered 125 GeV higgs-like resonance actually corresponds to a dilaton: the Goldstone boson of scale invariance spontaneously broken at a scale f. Comparing to LHC data we find that a dilaton can reproduce the observed couplings of the new resonance as long as f≈v, the weak scale. This corresponds to the dynamical assumption that only operators charged under the electroweak gauge group obtain VEVs. The more difficult task is to keep the mass of the dilaton light compared to the dynamical scale, Λ∼4πf, of the theory. In generic, non-supersymmetric theories one would expect the dilaton mass to be similar to Λ. The mass of the dilaton can only be lowered at the price of some percent level (or worse) tuning and/or additional dynamical assumptions: one needs to suppress the contribution of the condensate to the vacuum energy (which would lead to a large dilaton quartic coupling), and to allow only almost marginal deformations of the CFT.
KeywordsAnomalous Dimension Composite Sector Strong Sector Dilaton Coupling Explicit Breaking
We thank Matt Reece for stimulating conversations about the dilaton mass. We also thank Kaustubh Agashe, Zohar Komargodski and Alex Pomarol for useful discussions. We thank Zackaria Chacko for informing us of his upcoming paper on this subject. We thank the Aspen Center for Physics for its hospitality while this work was in progress. B.B. is supported in part by the ERC Advanced Grant no.267985, “Electroweak Symmetry Breaking, Flavour and Dark Matter: One Solution for Three Mysteries” (DaMeSyFla), and by the MIUR-FIRB grant RBFR12H1MW. C.C. and J.S. are supported in part by the NSF grant PHY-0757868. J.H. thanks Cornell University for hospitality during the course of this work. J.H. is supported in part by DOE grant number DE-FG02-85ER40237. J.T. was supported by the Department of Energy under grant DE-FG02-91ER406746.
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