Effective potential in ultraviolet completions for composite Higgs models

Journal Article · Fri May 04 00:00:00 EDT 2018 · Physical Review D

DOI:https://doi.org/10.1103/PhysRevD.97.095005· OSTI ID:1436005

Golterman, Maarten; Shamir, Yigal

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.

• Research Organization: San Francisco State Univ., CA (United States)
• Sponsoring Organization: USDOE Office of Science (SC), High Energy Physics (HEP)
• Grant/Contract Number: FG03-92ER40711
• OSTI ID: 1436005
• Alternate ID(s): OSTI ID: 1498904
• Journal Information: Physical Review D, Journal Name: Physical Review D Vol. 97 Journal Issue: 9; ISSN 2470-0010
• Publisher: American Physical Society
• Country of Publication: United States
• Language: English

Related Subjects

72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS