• Open Access

Technicolor models with coupled systems of Schwinger-Dyson equations

A. Doff and A. A. Natale
Phys. Rev. D 99, 055026 – Published 18 March 2019

Abstract

When technicolor (TC), QCD, extended technicolor (ETC), and other interactions become coupled through their different Schwinger-Dyson equations, the solutions of these equations are modified compared to those of the isolated equations. The change in the self-energies is similar to that obtained in the presence of four-fermion interactions, but without their ad hoc inclusion in the theory. In this case TC and QCD self-energies decrease logarithmically with the momenta, which allows us to build models where ETC boson masses can be pushed to very high energies, and their effects will barely appear at present energies. Here we present a detailed discussion of this class of TC models. We first review the Schwinger-Dyson TC and QCD coupled equations and explain the origin of the asymptotic self-energies. We develop the basic ideas of how viable TC models may be built along this line, where ordinary lepton masses are naturally lighter than quark masses. One specific unified TC model associated with a necessary horizontal (or family) symmetry is described. The values of scalar and pseudo-Goldstone boson masses in this class of models are also discussed, as well as the value of the trilinear scalar coupling and the consistency of the models with the experimental constraints.

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  • Received 24 January 2019

DOI:https://doi.org/10.1103/PhysRevD.99.055026

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.

Published by the American Physical Society

Physics Subject Headings (PhySH)

Particles & Fields

Authors & Affiliations

A. Doff1,* and A. A. Natale2,†

  • 1Universidade Tecnológica Federal do Paraná—UTFPR—DAFIS, Av Monteiro Lobato Km 04, 84016-210, Ponta Grossa, PR, Brazil
  • 2Instituto de Física Teórica—UNESP, Rua Dr. Bento T. Ferraz, 271, Bloco II, 01140-070, São Paulo, SP, Brazil

  • *agomes@utfpr.edu.br
  • adriano.natale@unesp.br

See Also

Perturbative corrections to technicolor

A. C. Aguilar, A. Doff, and A. A. Natale
Phys. Rev. D 97, 115035 (2018)

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Vol. 99, Iss. 5 — 1 March 2019

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