Schwinger–Dyson equation boundary conditions induced by ETC radiative corrections

Doff, A.; Natale, A. A.

doi:10.1140/epjc/s10052-018-6343-6

Cited by 11 publications

(39 citation statements)

References 56 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…However, the solutions discussed in Refs. [35,36] and in this work are related to the asymptotic behavior produced by the effective mass of the coupled SDE, and are not affected by the infrared intricacies of the strongly interacting theories.…”

Section: Introductionmentioning

confidence: 66%

“…In Ref. [36] we analytically verified that the radiative corrections shown in Fig.2 act as an effective bare mass. In the case of ordinary quarks the second diagram (b 2 ) on the right-hand of Fig.2 originates an effective mass due to TC condensation; on the other hand, the techniquarks obtain a tiny effective mass due to QCD condensation [see diagram (a 2 ) in Fig.2], and an even larger mass due to the other diagrams [(a 3 ) and (a 4 )].…”

Section: Introductionmentioning

confidence: 68%

“…Considering the work of Ref. [36] it becomes evident that the behavior of M H is a result that will fundamentally depend on the boundary conditions satisfied by the coupled system described in Fig.2. In Eq.…”

Section: A Normalization Condition and The Scalar Massmentioning

confidence: 99%

“…Hereafter, we follow Refs. [35,36] and use a Casimir eigenvalue C E = 1 and gauge coupling constant α E = 0.032, which are quantities related to the ETC gauge theory.…”

Section: A Normalization Condition and The Scalar Massmentioning

confidence: 99%

“…The UV boundary conditions of the differential TC gap equations modified by the radiative corrections (as can be seen in Ref. [36]) are given by…”

Section: Tc Condensatementioning

confidence: 99%

See 4 more Smart Citations

Technicolor models with coupled systems of Schwinger-Dyson equations

Doff

Natale

2019

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

When technicolor (TC), QCD, extended technicolor (ETC) and other interactions become coupled through their different Schwinger-Dyson equations, the solution 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.

show abstract

Section: Introductionmentioning

confidence: 66%

Section: Introductionmentioning

confidence: 68%

Section: A Normalization Condition and The Scalar Massmentioning

confidence: 99%

“…Hereafter, we follow Refs. [35,36] and use a Casimir eigenvalue C E = 1 and gauge coupling constant α E = 0.032, which are quantities related to the ETC gauge theory.…”

Section: A Normalization Condition and The Scalar Massmentioning

confidence: 99%

“…The UV boundary conditions of the differential TC gap equations modified by the radiative corrections (as can be seen in Ref. [36]) are given by…”

Section: Tc Condensatementioning

confidence: 99%

See 3 more Smart Citations

Technicolor models with coupled systems of Schwinger-Dyson equations

Doff

Natale

2019

Phys. Rev. D

Self Cite

View full text Add to dashboard Cite

show abstract

Exclusive production of pions and the pion distribution amplitude

Fagundes¹,

Luna²,

Natale³

et al. 2020

J. Phys. G: Nucl. Part. Phys.

View full text Add to dashboard Cite

Considering, as a limit case, an approximately flat pion distribution amplitude, which is determined from the hardest, in momentum space, solution of the Bethe-Salpeter equation for the pion wave function, we compute the pion transition form factor Fπγγ * (Q 2 ) and the pion form factor Fπ(Q 2 ), taking into account the LO as well as NLO form of the hard coefficient function entering the leading-twist factorization formula. We also compute the exclusive photoproduction of pions pairs at high energies, γγ → π + π − , where perturbative QCD can be used to compute the hard scattering matrix elements. We verify that the existent data for exclusive pion production can be reasonably described as a function of such flat distribution amplitude.

show abstract

Fermion mass splitting in the technicolor coupled scenario

Doff

Natale

2020

Eur. Phys. J. C

Self Cite

View full text Add to dashboard Cite

We discuss fermion mass generation in unified models where QCD and technicolor (or any two strongly interacting theories) have their Schwinger–Dyson equations coupled. In this case the technicolor (TC) and QCD self-energies are modified in comparison with the behavior observed in the isolated theories. In these models the pseudo-Goldstone boson masses are much higher than the ones obtained in different contexts, and phenomenological signals, except from a light scalar composite boson, will be quite difficult to be observed at present collider energies. The most noticeable fact of these models is how the mass splitting between the different ordinary fermions is generated. We discuss how a necessary horizontal (or family) symmetry can be implemented in order to generate the mass splitting between fermions of different generations; how the fermionic mass spectrum may be modified due to GUT interactions, as well as how the mass splitting within the same fermionic generation are generated due to electroweak and GUT interactions.

show abstract

Schwinger–Dyson equation boundary conditions induced by ETC radiative corrections

Cited by 11 publications

References 56 publications

Technicolor models with coupled systems of Schwinger-Dyson equations

Technicolor models with coupled systems of Schwinger-Dyson equations

Exclusive production of pions and the pion distribution amplitude

Fermion mass splitting in the technicolor coupled scenario

Contact Info

Product

Resources

About