Massive Spin-1 Field Chiral Lagrangian from an Extended Nambu-Jona-Lasinio Model of QCD

Joaquim Prades

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Massive Spin-1 Field Chiral Lagrangian from an Extended Nambu-Jona-Lasinio Model of QCD

Joaquim Prades

High Energy Physics - Phenomenology · Submitted 11 Feb 1993

abstract compiled · 2026-09-23 · no language-model review

The authors' main claim We present a calculation of the coupling constants in the massive spin-1 field chiral Lagrangian to chiral ${\cal O}(p^3)$ in the context of an extended Nambu--Jona-Lasinio cut-off model.

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arXiv IDhep-ph/9302246 (version 1)

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CitationJoaquim Prades. "Massive Spin-1 Field Chiral Lagrangian from an Extended Nambu-Jona-Lasinio Model of QCD." arXiv:hep-ph/9302246 (1993). https://pith.science/paper/INVN52AR

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.12 · human participants 0.01 · controlled comparison 0.01 · randomized assignment 0.01 · states quantitative result 0.06 · compares with prior results 0.07 · mentions code or data availability 0.02.

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We present a calculation of the coupling constants in the massive spin-1 field chiral Lagrangian to chiral ${\cal O}(p^3)$ in the context of an extended Nambu--Jona-Lasinio cut-off model. Phenomenological applications of this Lagrangian to anomalous and non-anomalous low-energy hadronic transitions involving spin-1 particles are also discussed.

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#	sentence	role	the authors' own work	states the main conclusion	strength
s0	We present a calculation of the coupling constants in the massive spin-1 field chiral Lagrangian to chiral ${\cal O}(p^3)$ in the context of an extended Nambu--Jona-Lasinio cut-off model.	contribution 0.99	0.95	0.41	asserted 1.00
s1	Phenomenological applications of this Lagrangian to anomalous and non-anomalous low-energy hadronic transitions involving spin-1 particles are also discussed.	contribution 0.95	0.69	0.12	asserted 0.95

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.75.

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The paper

Original abstract

We present a calculation of the coupling constants in the massive spin-1 field chiral Lagrangian to chiral ${\cal O}(p^3)$ in the context of an extended Nambu--Jona-Lasinio cut-off model. Phenomenological applications of this Lagrangian to anomalous and non-anomalous low-energy hadronic transitions involving spin-1 particles are also discussed.

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References

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

An Update of the HLS Estimate of the Muon g-2
hep-ph 2012-10 conditional novelty 6.0 of 10

A global fit of a broken Hidden Local Symmetry Lagrangian to tau and multi-channel e+e- data yields a muon g-2 prediction that puts the experiment-theory discrepancy at 4.7 to 4.9 sigma.
Resonance saturation in the odd-intrinsic parity sector of low-energy QCD
hep-ph 2011-04 conditional novelty 6.0 of 10

A complete lowest-lying resonance Lagrangian for the odd-parity sector of low-energy QCD yields expressions for 21 of the 23 O(p^6) anomalous chiral constants and a pion-pole muon g-2 contribution of 65.8(1.2) x 10^-11.
Interpolating between low and high energy QCD via a 5D Yang-Mills model
hep-ph 2005-07 conditional novelty 6.0 of 10

5D locality in a compact extra dimension forces an infinite set of sum rules among meson resonance couplings, making the vector form factor satisfy an unsubtracted dispersion relation and giving a chiral-symmetry-pres...
Lattice calculation of the pion transition form factor with $N_f=2+1$ Wilson quarks
hep-lat 2019-03 accept novelty 5.0 of 10

Lattice QCD with 2+1 dynamical quarks yields the pion transition form factor and a 6%-precision estimate of the pion-pole contribution to muon g-2 hadronic light-by-light scattering, (59.7 ± 3.6) × 10^-11.
MesonNet Workshop on Meson Transition Form Factors
hep-ph 2012-07 accept novelty 2.0 of 10

A workshop proceedings volume that organizes the connections among pseudoscalar and vector meson transition form factors across on-shell, single off-shell, and double off-shell kinematics, with one-page summaries of 3...

Show 1 more citing papers

Chiral Perturbation Theory Beyond One Loop
hep-ph 2006-04 conditional

A practitioner-written review of all order-p^6 ChPT calculations in the mesonic sector, summarizing the two-loop results and their experimental comparisons.

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10 arXiv papers cite this in 17 sentences

Each citing sentence is taken from the citing paper's LaTeX source and typed by Pith's classifier. A label appears at probability 0.8 or more (0.95 for support), a contest at 0.7 or more; the quoted words are the citing authors'. How each label was checked · JSON

Papers citing it · 12 sentences without a confident label

Builds on it 1 paper

We obtain the formulae for the form factors $F_γ^∗γ^∗𝒫(t_1,t_2)$ on the basis of the effective chiral Lagrangian [ref] extended to multi-octet resonance contributions, with the $η-η'$ mixing accounted for as in [ref] .

Two-photon form factors of the pi0, eta and eta-prime mesons in the chiral theory with resonances · Formulae for $F_γ^∗γ^∗𝒫$ · 0.87

Uses its method or tool 2 papers

Using the scheme of the $η$–$η^'$ mixing with two decay parameters ($f_0$ and $f_8$) and two mixing angles ($θ_0$, $θ_8$) [ref] and following the approach of chiral effective theory with resonances [ref] , we derive the expressions for the two-photon transition form factors of the $𝒫=π^0$, $η$, $η^'$ mesons.

Two-photon form factors of the pi0, eta and eta-prime mesons in the chiral theory with resonances · Summary · 0.97
The form factor modeling [ref] was performed in the framework of the effective field theory, namely the chiral theory with resonances [ref] was used.

EKHARA - new gamma gamma generator · EKHARA Monte Carlo generator · 0.92

Cites it as background 1 paper

The study of the odd intrinsic parity sector of R$χ$T with vector resonances and corresponding saturation of the LECs for the $O(p^6)$ anomaly sector of ChPT started in [ref] and [ref] , where also axial vector resonances has been included and where the particular operator basis of the R $χ$T Lagrangian contributing to the correlators under interest has been constructed.

Resonance saturation in the odd-intrinsic parity sector of low-energy QCD · Introduction · 0.88

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