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Title: Hyperscaling violation and electroweak symmetry breaking

Abstract

We consider a class of simplified models of dynamical electroweak symmetry breaking built in terms of their five-dimensional weakly-coupled gravity duals, in the spirit of bottom-up holography. The sigma-model consists of two abelian gauge bosons and one real, non-charged scalar field coupled to gravity in five dimensions. The scalar potential is a simple exponential function of the scalar field. The background metric resulting from solving the classical equations of motion exhibits hyperscaling violation, at least at asymptotically large values of the radial direction. We study the spectrum of scalar composite states of the putative dual field theory by fluctuating the sigma-model scalars and gravity, and discuss in which cases we find a parametrically light scalar state in the spectrum. We model the spontaneous breaking of the (weakly coupled) gauge symmetry to the diagonal subgroup by the choice of IR boundary conditions. We compute the mass spectrum of spin-1 states, and the precision electroweak parameter S as a function of the hyperscaling coefficient. We find a general bound on the mass of the lightest spin-1 resonance, by requiring that the indirect bounds on the precision parameters be satisfied, that implies that precision electroweak physics excludes the possibility of a techni-rho mesonmore » with mass lighter than several TeV.« less

Authors:
; ;
Publication Date:
Research Org.:
Purdue Univ., West Lafayette, IN (United States); Swansea Univ., Wales (United Kingdom)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP); National Science Foundation (NSF); Science and Technology Facilities Council (STFC) (United Kingdom)
OSTI Identifier:
1198558
Alternate Identifier(s):
OSTI ID: 1454530
Grant/Contract Number:  
SC0007884; PHY-0952630; ST/L000369/1; ST/I506037/1
Resource Type:
Published Article
Journal Name:
Nuclear Physics. B
Additional Journal Information:
Journal Name: Nuclear Physics. B Journal Volume: 897 Journal Issue: C; Journal ID: ISSN 0550-3213
Publisher:
Elsevier
Country of Publication:
Netherlands
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Elander, Daniel, Lawrance, Robert, and Piai, Maurizio. Hyperscaling violation and electroweak symmetry breaking. Netherlands: N. p., 2015. Web. doi:10.1016/j.nuclphysb.2015.06.004.
Elander, Daniel, Lawrance, Robert, & Piai, Maurizio. Hyperscaling violation and electroweak symmetry breaking. Netherlands. https://doi.org/10.1016/j.nuclphysb.2015.06.004
Elander, Daniel, Lawrance, Robert, and Piai, Maurizio. Sat . "Hyperscaling violation and electroweak symmetry breaking". Netherlands. https://doi.org/10.1016/j.nuclphysb.2015.06.004.
@article{osti_1198558,
title = {Hyperscaling violation and electroweak symmetry breaking},
author = {Elander, Daniel and Lawrance, Robert and Piai, Maurizio},
abstractNote = {We consider a class of simplified models of dynamical electroweak symmetry breaking built in terms of their five-dimensional weakly-coupled gravity duals, in the spirit of bottom-up holography. The sigma-model consists of two abelian gauge bosons and one real, non-charged scalar field coupled to gravity in five dimensions. The scalar potential is a simple exponential function of the scalar field. The background metric resulting from solving the classical equations of motion exhibits hyperscaling violation, at least at asymptotically large values of the radial direction. We study the spectrum of scalar composite states of the putative dual field theory by fluctuating the sigma-model scalars and gravity, and discuss in which cases we find a parametrically light scalar state in the spectrum. We model the spontaneous breaking of the (weakly coupled) gauge symmetry to the diagonal subgroup by the choice of IR boundary conditions. We compute the mass spectrum of spin-1 states, and the precision electroweak parameter S as a function of the hyperscaling coefficient. We find a general bound on the mass of the lightest spin-1 resonance, by requiring that the indirect bounds on the precision parameters be satisfied, that implies that precision electroweak physics excludes the possibility of a techni-rho meson with mass lighter than several TeV.},
doi = {10.1016/j.nuclphysb.2015.06.004},
journal = {Nuclear Physics. B},
number = C,
volume = 897,
place = {Netherlands},
year = {Sat Aug 01 00:00:00 EDT 2015},
month = {Sat Aug 01 00:00:00 EDT 2015}
}

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Cited by: 9 works
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