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Title: Effective potential in ultraviolet completions for composite Higgs models

Abstract

We consider a class of composite Higgs models based on asymptotically free SO(d) gauge theories with d odd, with fermions in two irreducible representations, and in which the Higgs field arises as a pseudo-Nambu-Goldstone boson and the top quark is partially composite. The Nambu-Goldstone coset containing the Higgs field, or Higgs coset, is either SU(4)/Sp(4) or SU(5)/SO(5), whereas the top partners live in two-index representations of the relevant flavor group [SU(4) or SU(5)]. In both cases, there is a large number of terms in the most general four-fermion Lagrangian describing the interaction of third-generation quarks with the top partners. We derive the top-induced effective potential for the Higgs coset together with the singlet pseudo-Nambu-Goldstone boson associated with the non-anomalous axial symmetry, to leading order in the couplings between the third-generation quarks and the composite sector. We obtain expressions for the low-energy constants in terms of top-partner two-point functions. We revisit the effective potential of another composite Higgs model that we have studied previously, which is based on an SU(4) gauge theory and provides a different realization of the SU(5)/SO(5) coset. The top partners of this model live in the fundamental representation of SU(5), and, as a result, the effective potentialmore » of this model is qualitatively different from the SO(d) gauge theories. We also discuss the role of the isospin-triplet fields contained in the SU(5)/SO(5) coset, and show that, without further constraints on the four-fermion couplings, an expectation value for the Higgs field will trigger the subsequent condensation of an isospin-triplet field.« less

Authors:
;
Publication Date:
Research Org.:
San Francisco State Univ., CA (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1436005
Alternate Identifier(s):
OSTI ID: 1498904
Grant/Contract Number:  
FG03-92ER40711
Resource Type:
Published Article
Journal Name:
Physical Review D
Additional Journal Information:
Journal Name: Physical Review D Journal Volume: 97 Journal Issue: 9; Journal ID: ISSN 2470-0010
Publisher:
American Physical Society
Country of Publication:
United States
Language:
English
Subject:
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS

Citation Formats

Golterman, Maarten, and Shamir, Yigal. Effective potential in ultraviolet completions for composite Higgs models. United States: N. p., 2018. Web. doi:10.1103/PhysRevD.97.095005.
Golterman, Maarten, & Shamir, Yigal. Effective potential in ultraviolet completions for composite Higgs models. United States. doi:10.1103/PhysRevD.97.095005.
Golterman, Maarten, and Shamir, Yigal. Fri . "Effective potential in ultraviolet completions for composite Higgs models". United States. doi:10.1103/PhysRevD.97.095005.
@article{osti_1436005,
title = {Effective potential in ultraviolet completions for composite Higgs models},
author = {Golterman, Maarten and Shamir, Yigal},
abstractNote = {We consider a class of composite Higgs models based on asymptotically free SO(d) gauge theories with d odd, with fermions in two irreducible representations, and in which the Higgs field arises as a pseudo-Nambu-Goldstone boson and the top quark is partially composite. The Nambu-Goldstone coset containing the Higgs field, or Higgs coset, is either SU(4)/Sp(4) or SU(5)/SO(5), whereas the top partners live in two-index representations of the relevant flavor group [SU(4) or SU(5)]. In both cases, there is a large number of terms in the most general four-fermion Lagrangian describing the interaction of third-generation quarks with the top partners. We derive the top-induced effective potential for the Higgs coset together with the singlet pseudo-Nambu-Goldstone boson associated with the non-anomalous axial symmetry, to leading order in the couplings between the third-generation quarks and the composite sector. We obtain expressions for the low-energy constants in terms of top-partner two-point functions. We revisit the effective potential of another composite Higgs model that we have studied previously, which is based on an SU(4) gauge theory and provides a different realization of the SU(5)/SO(5) coset. The top partners of this model live in the fundamental representation of SU(5), and, as a result, the effective potential of this model is qualitatively different from the SO(d) gauge theories. We also discuss the role of the isospin-triplet fields contained in the SU(5)/SO(5) coset, and show that, without further constraints on the four-fermion couplings, an expectation value for the Higgs field will trigger the subsequent condensation of an isospin-triplet field.},
doi = {10.1103/PhysRevD.97.095005},
journal = {Physical Review D},
number = 9,
volume = 97,
place = {United States},
year = {2018},
month = {5}
}

Journal Article:
Free Publicly Available Full Text
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DOI: 10.1103/PhysRevD.97.095005

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