The Quantum Critical Higgs

Brando Bellazzini (1, 2) , Csaba Csáki (3) , Jay Hubisz (4) , Seung J. Lee (5) , Javi Serra (6, 2, 7) , John Terning (8)

1 IPHT - Institut de Physique Théorique - UMR CNRS 3681
2 Dipartimento di Fisica e Astronomia "Galileo Galilei"
3 Cornell University [New York]
4 Department of Physics, Syracuse University
5 KIAS - Korea Institute for Advanced Study
6 cern - CERN, Theory Division
7 INFN, Sezione di Padova - Istituto Nazionale di Fisica Nucleare, Sezione di Padova
8 UC Davis - University of California [Davis]

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.

Domains: Physics [physics]; High Energy Physics - Phenomenology [hep-ph]; Physics [physics]; High Energy Physics - Theory [hep-th]

Brando Bellazzini, Csaba Csáki, Jay Hubisz, Seung J. Lee, Javi Serra, et al.. The Quantum Critical Higgs. 2015. ⟨cea-01236226⟩