Abstract
The full solution of technicolor (TC) Schwinger-Dyson equations should include radiative corrections induced by extended technicolor (ETC) (or other) interactions. We verify that when TC is embedded into a larger theory including also QCD, these radiative corrections couple the different strongly interacting Schwinger-Dyson equations, providing a tiny mass to technifermions and changing the ultraviolet behavior of the gap equation solution. We argue about the origin of the different quark masses without appealing for different ETC boson masses, in one scenario where most of the new physics will appear in interactions with the third fermion generation and with a TC scalar boson possibly lighter than the TC characteristic scale ($\Lambda_{\tt{TC}}$)
Highlights
The full solution of technicolor (TC) Schwinger-Dyson equations should include radiative corrections induced by extended technicolor (ETC) interactions
We argue about the origin of the different quark masses without appealing for different ETC boson masses, in one scenario where most of the new physics will appear in interactions with the third fermion generation and with a TC scalar boson possibly lighter than the TC characteristic scale (ΛTC)
The latter can be derived from the microscopic Bardeen-cooper-schrieffer (BCS) theory of superconductivity describing the electron-hole interaction, which can be interpreted as a composite state
Summary
The full solution of technicolor (TC) Schwinger-Dyson equations should include radiative corrections induced by extended technicolor (ETC) (or other) interactions. The origin of fermion and gauge boson masses in the standard model (SM) of elementary particles is explained by their interaction with the Higgs boson. A possible solution to this dilemma requires a large γ value [14], which can be obtained either with the introduction of (i) a large number of fermions or (ii) with a gauged four-fermion interaction [15,16,17,18,19,20,21,22,23,24,25,26,27] Regardless of all these efforts, in these dynamical symmetry breaking models, it has not been clear up to now why the heaviest quark has a current mass of O(100) GeV whereas the light quarks have a current mass of few MeV. We argue that the answer to these questions may come out when QCD and TC are embedded into a larger group, possibly ETC or a grand unified theory (GUT). there are two crucial requirements for
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