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Article
Report number	arXiv:1511.08218 ; CERN-PH-TH-2015-275 ; Saclay-t15-206 ; CERN-PH-TH-2015-275
Title	Quantum Critical Higgs
Author(s)	Bellazzini, Brando (IPhT, Saclay ; Padua U.) ; Csáki, Csaba (Cornell U., LEPP ; Cornell U., Phys. Dept.) ; Hubisz, Jay (Syracuse U.) ; Lee, Seung J. (Korea Inst. Advanced Study, Seoul ; Korea U.) ; Serra, Javi (CERN) ; Terning, John (UC, Davis)
Publication	2016-12-14
Imprint	25 Nov 2015
Number of pages	17
Note	Comments: 29 pages, 3 figures 25p+ appendix, 3 figures; v2: references added, minor improvements, match published version
In:	Phys. Rev. X 6 (2016) 041050
DOI	10.1103/PhysRevX.6.041050
Subject category	Particle Physics - Phenomenology
Abstract	The appearance of the light Higgs boson at the LHC is difficult to explain, particularly in light of naturalness arguments in quantum field theory. However light scalars can appear in condensed matter systems when parameters (like the amount of doping) are tuned to a critical point. At zero temperature these quantum critical points are directly analogous to the finely tuned standard model. In this paper we explore a class of models with a Higgs near a quantum critical point that exhibits non-mean-field behavior. We discuss the parametrization of the effects of a Higgs emerging from such a critical point in terms of form factors, and present two simple realistic scenarios based on either generalized free fields or a 5D dual in AdS space. For both of these models we consider the processes $gg\to ZZ$ and $gg\to hh$, which can be used to gain information about the Higgs scaling dimension and IR transition scale from the experimental data.
Copyright/License	arXiv nonexclusive-distrib. 1.0 preprint: © 2015-2025 CERN (License: CC-BY-4.0) publication: © 2016-2025 The Author(s) (License: CC-BY-3.0)

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