Spectrum of QCD and chiral Lagrangians of the strong and weak interactions

Donoghue, John F.; Ramírez, Carlos A.; Valencia, G.

doi:10.1103/physrevd.39.1947

Cited by 242 publications

(248 citation statements)

References 20 publications

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“…It could be derived either from the gauged chiral model [21] for the couplings 3g ρ F 2 = M 2 ρ , or from resonance chiral theory [22] with only vectors and the relation 3G 2 V = F 2 . The ππ-scattering is given in this model by…”

Section: Vector Resonance Modelmentioning

confidence: 99%

Some remarks on the Padé unitarization of low-energy amplitudes

2008

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We present a critical analysis of Padé-based methods for the unitarization of low energy amplitudes. We show that the use of certain Padé Approximants to describe the resonance region may lead to inaccurate determinations. In particular, we find that in the Linear Sigma Model the unitarization of the low energy amplitude through the inverse amplitude method produces essentially incorrect results for the mass and width of the sigma. Alternative sequences of Padés are studied and we find that the diagonal sequences (i.e., [N/N ]) have much better convergence properties.

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Section: Vector Resonance Modelmentioning

confidence: 99%

Some remarks on the Padé unitarization of low-energy amplitudes

2008

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“…the discussion in the introduction and e.g. [5]) and how in turn the low-energy scattering amplitude can be used to "(re)generate" the resonance. A pedagogical example [22] will serve to introduce the general idea of the IAM before we come back to our specific application of this technique.…”

Section: Inverse Amplitude Methodsmentioning

confidence: 99%

“…The point however is that mesonic resonances -most prominently the ρ-meson -leave a trace also in the low-energy region much below their pole masses by mediating e.g. pion-pion interactions [5]. Hence the key idea is that on the one hand side (χSB aspect) one can describe the low-energy region reliably by a (chiral!)…”

Section: Introductionmentioning

confidence: 99%

Rho meson properties from combining QCD-based models

Leupold

2004

Nuclear Physics A

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Aiming at the calculation of the properties of ρ-mesons, non-perturbative QCD-based methods are discussed concerning their potentials as well as their short-comings. The latter are overcome by combining these techniques. The utilized methods are (i) the chiral constituent quark model deduced from the instanton vacuum model and large-Nc arguments, (ii) chiral perturbation theory unitarized by the inverse amplitude method and (iii) QCD sum rules. Advantages of the combination of these methods are especially the absence of un-physical quark-production thresholds and parameter-free results. Already in the chiral limit and in leading order in 1/Nc one obtains a reasonable result for the mass of the ρ-meson, namely mρ = 790 ± 30 MeV. Using the KSFR relation the universality of the ρ-meson coupling is recovered. The latter is found to be g = 6.0 ± 0.3.

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“…Beyond trial and error, an elegant method is to couple the resonance to the Chiral Lagrangian in a chiral invariant way and then integrate the resonance at tree level as done for example in ref. [176] (see also the early treatment by ref. [177] and the more formal one in ref.…”

Section: Vector-isovector Channel I = J =mentioning

confidence: 99%

Study of the Electroweak Symmetry Breaking Sector for the LHC

López¹

2017

Springer Theses

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Spectrum of QCD and chiral Lagrangians of the strong and weak interactions

Cited by 242 publications

References 20 publications

Some remarks on the Padé unitarization of low-energy amplitudes

Some remarks on the Padé unitarization of low-energy amplitudes

Rho meson properties from combining QCD-based models

Study of the Electroweak Symmetry Breaking Sector for the LHC

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