Estimates for Pion-Photon Transition Distributions

B. C. Tiburzi

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Estimates for Pion-Photon Transition Distributions

B. C. Tiburzi

High Energy Physics - Phenomenology · Submitted 9 Aug 2005

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

The authors' main claim To obtain reasonable estimates of the distributions at a low scale, we modify the models to saturate the positivity bounds using empirically parametrized parton distributions.

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What the abstract itself states, as probabilities: claims first 0.03 · states limitation 0.27 · human participants 0.01 · controlled comparison 0.02 · randomized assignment 0.01 · states quantitative result 0.09 · compares with prior results 0.14 · mentions code or data availability 0.02.

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In the scaling regime, amplitudes for backward virtual Compton scattering and hadron annihilation into two photons depend on structure functions that describe the hadron-photon transition at the partonic level. We construct simple analytical models for the vector and axial-vector pion-photon transition distribution amplitudes based on double distributions. Via a sum rule, these models are tuned to reproduce the pion-photon transition form factors. To obtain reasonable estimates of the distributions at a low scale, we modify the models to saturate the positivity bounds using empirically parametrized parton distributions. We also determine a model-independent contribution to the axial-vector transition distribution using chiral perturbation theory.

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What the classifier reports for each sentence. The number is the probability it gave the label.
#	sentence	role	the authors' own work	states the main conclusion	strength
s0	In the scaling regime, amplitudes for backward virtual Compton scattering and hadron annihilation into two photons depend on structure functions that describe the hadron-photon transition at the partonic level.	background 1.00	0.06	0.04	asserted 1.00
s1	We construct simple analytical models for the vector and axial-vector pion-photon transition distribution amplitudes based on double distributions.	method 0.65	0.96	0.13	asserted 1.00
s2	Via a sum rule, these models are tuned to reproduce the pion-photon transition form factors.	method 0.98	0.93	0.11	asserted 1.00
s3	To obtain reasonable estimates of the distributions at a low scale, we modify the models to saturate the positivity bounds using empirically parametrized parton distributions.	method 0.98	0.94	0.11	asserted 0.93
s4	We also determine a model-independent contribution to the axial-vector transition distribution using chiral perturbation theory.	contribution 0.74	0.92	0.11	asserted 1.00

What kind of paper the classifier reports this is: theoretical result 1.00 · evidence from proof or derivation 0.88.

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Original abstract

In the scaling regime, amplitudes for backward virtual Compton scattering and hadron annihilation into two photons depend on structure functions that describe the hadron-photon transition at the partonic level. We construct simple analytical models for the vector and axial-vector pion-photon transition distribution amplitudes based on double distributions. Via a sum rule, these models are tuned to reproduce the pion-photon transition form factors. To obtain reasonable estimates of the distributions at a low scale, we modify the models to saturate the positivity bounds using empirically parametrized parton distributions. We also determine a model-independent contribution to the axial-vector transition distribution using chiral perturbation theory.

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References

Forward citations

Cited by 2 Pith papers

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

Leading Chiral Corrections to the Nucleon Generalized Parton Distributions
hep-ph 2006-02 conditional novelty 6.0 of 10

The leading chiral corrections to all eight quark GPD moments are computed, giving parameter-free non-analytic quark mass and momentum transfer dependence.
Exclusive meson pair production in gamma* gamma scattering at small momentum transfer
hep-ph 2006-02 conditional novelty 5.0 of 10

The authors estimate cross sections for exclusive rho-pi and pi-pi production in high-virtuality photon-photon collisions using transition distribution amplitudes, and propose the pi0 pi0 channel as a way to extract t...

How the literature uses it

8 arXiv papers cite this in 27 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 · 7 sentences without a confident label

Uses its method or tool 1 paper

Finally, for the form of the TDA, we used a parametrization [cf. ([ref])], which can accommodate different available models [ref] , within the range of accuracy of the order of 10%, the latter pertaining to our whole numerical analysis.

Duality between different mechanisms of QCD factorization in \gamma^*\gamma collisions · TDA-Factorization vs. GDA-Factorization for $γγ^*→ππ$ · 0.93

Compares with it 3 papers

Experimental value given by PDG is [equation] and [equation] Although our predictions are much better then the ones obtained in local models (with $F_A( 0) =F_V( 0)$) [ref] , it still does not agree with experimental value.

Covariant Non-local Chiral Quark Model and Pion-photon Transition Distribution Amplitudes · Form factors · 0.95
Regarding our axial TDA, it differs from the two previous calculations [ref] due to the effect of the non-resonant part of the second diagram of Fig. [ref].

The Pion-Photon Transition Distribution Amplitudes in the Nambu-Jona Lasinio Model · Discussion. · 1.00
Regarding our axial TDA, it is worth noticing that it differs from the previous calculations [ref] due to the effect of the non-resonant part of the second diagram of Fig. [ref].

Generalized Parton Distributions of Pions. Spin Structure of Hadrons · Model Calculations of the TDAs · 0.96

Cites it as support 1 paper

The pion pole contribution is not considered in this paper, as the pion pole term in the t-channel is irrelevant for the evaluation of the axial TDA [ref] .

Pion-photon and kaon-photon transition distribution amplitudes in the Nambu--Jona-Lasinio model · The definition and calculation of pion photon TDAs · 0.97

Cites it as background 7 papers

Few models for the $π→γ$ TDAs already exist [ref] .

Backward DVCS on the pion in Sullivan processes · Model for the pi-to-gamma TDAs · 0.89
Previous studies of the axial and vector pion-photon TDA have been done using different quark models [ref] .

The Pion-Photon Transition Distribution Amplitudes in the Nambu-Jona Lasinio Model · Introduction · 0.96
The study of pion photon TDAs is conducted in non-local chiral quark models [ref] , including the NJL model, which employs the Pauli-Villars regularization scheme [ref] , as well as in simple analytical models [ref] , including the spectral quark model [ref] .

Pion-photon and kaon-photon transition distribution amplitudes in the Nambu--Jona-Lasinio model · Introduction · 0.93

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