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Title: Quantum Critical Higgs

In this paper, 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 anti–de Sitter space. For both of these models, we consider the processes gg→ZZ and gg→hh, which can be used to gain information about the Higgs scaling dimension and IR transition scale from the experimental data.
Authors:
 [1] ;  [2] ;  [3] ;  [4] ;  [5] ;  [6]
  1. Univ. Paris Saclay, Gif-sur-Yvette (France); Univ. di Padova, Padova (Italy)
  2. Cornell Univ., Ithaca, NY (United States)
  3. Syracuse Univ., Syracuse, NY (United States)
  4. Korea Univ., Seoul (Korea); Korea Institute for Advanced Study, Seoul (Korea)
  5. European Organization for Nuclear Research (CERN), Geneva (Switzerland)
  6. Univ. of California, Davis, CA (United States)
Publication Date:
Grant/Contract Number:
FG02-85ER40231; FG02-85ER40237; SC-000999
Type:
Published Article
Journal Name:
Physical Review. X
Additional Journal Information:
Journal Volume: 6; Journal Issue: 4; Journal ID: ISSN 2160-3308
Publisher:
American Physical Society
Research Org:
Syracuse Univ., Syracuse, NY (United States)
Sponsoring Org:
USDOE
Country of Publication:
United States
Language:
English
Subject:
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS
OSTI Identifier:
1335730
Alternate Identifier(s):
OSTI ID: 1465501

Bellazzini, Brando, Csaki, Csaba, Hubisz, Jay, Lee, Seung J., Serra, Javi, and Terning, John. Quantum Critical Higgs. United States: N. p., Web. doi:10.1103/PhysRevX.6.041050.
Bellazzini, Brando, Csaki, Csaba, Hubisz, Jay, Lee, Seung J., Serra, Javi, & Terning, John. Quantum Critical Higgs. United States. doi:10.1103/PhysRevX.6.041050.
Bellazzini, Brando, Csaki, Csaba, Hubisz, Jay, Lee, Seung J., Serra, Javi, and Terning, John. 2016. "Quantum Critical Higgs". United States. doi:10.1103/PhysRevX.6.041050.
@article{osti_1335730,
title = {Quantum Critical Higgs},
author = {Bellazzini, Brando and Csaki, Csaba and Hubisz, Jay and Lee, Seung J. and Serra, Javi and Terning, John},
abstractNote = {In this paper, 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 anti–de Sitter space. For both of these models, we consider the processes gg→ZZ and gg→hh, which can be used to gain information about the Higgs scaling dimension and IR transition scale from the experimental data.},
doi = {10.1103/PhysRevX.6.041050},
journal = {Physical Review. X},
number = 4,
volume = 6,
place = {United States},
year = {2016},
month = {12}
}