Deep inside the pion. Reconciling QCD theory with data

Bakulev, A. P.; Михайлов, С. В.; Stefanis, N. G.

doi:10.1002/andp.200410105

Cited by 41 publications

(98 citation statements)

References 41 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…1. Note that this model DA yields a prediction for F Q 2 that is in good agreement [13,14] not only with the CLEO data, but also with the older low-Q 2 CELLO [15] data. The profile of this pion DA is double-humped, but has its endpoints x 0 and x 1 strongly suppressed.…”

mentioning

confidence: 75%

Tagging the pion quark structure in QCD

Bakulev¹,

Михайлов²,

Stefanis³

2006

Phys. Rev. D

View full text Add to dashboard Cite

We combine the constraints on the pion quark structure available from perturbative QCD, nonperturbative QCD (nonlocal QCD sum rules and light cone sum rules) with the analysis of current data on F_{\pi\gamma\gamma^*}(Q^2), including recent high-precision lattice calculations of the second moment of the pion's distribution amplitude. We supplement these constraints with those extracted from the renormalon approach by means of the twist-four contributions to the pion distribution amplitude in order to further increase stability with respect to related theoretical uncertainties. We show which regions in the space of the first two non-trivial Gegenbauer coefficients a_2 and a_4 of all these constraints overlap, tagging this way the pion structure to the highest degree possible at present.Comment: V1: 6 pages, 2 figures, 1 table. V2: Two references added with corresponding insertions in the text. Matches version published in PR

show abstract

mentioning

confidence: 75%

Tagging the pion quark structure in QCD

Bakulev¹,

Михайлов²,

Stefanis³

2006

Phys. Rev. D

View full text Add to dashboard Cite

show abstract

“…Detailed estimates of the moment uncertainties can be found in [19,20] (see also Table I)). This scale represents the average value of the Borel parameter M 2 in the stability window of the sum rule, notably,…”

Section: Gegenbauer Da Representationsmentioning

confidence: 99%

Chimera distribution amplitudes for the pion and the longitudinally polarized ρ -meson

Stefanis

Pimikov

2016

Nuclear Physics A

Self Cite

View full text Add to dashboard Cite

Using QCD sum rules with nonlocal condensates, we show that the distribution amplitude of the longitudinally polarized ρ-meson may have a shorttailed platykurtic profile in close analogy to our recently proposed platykurtic distribution amplitude for the pion. Such a chimera distribution de facto amalgamates the broad unimodal profile of the distribution amplitude, obtained with a Dyson-Schwinger equations-based computational scheme, with the suppressed tails characterizing the bimodal distribution amplitudes derived from QCD sum rules with nonlocal condensates. We argue that pattern formation, emerging from the collective synchronization of coupled oscillators, can provide a single theoretical scaffolding to study unimodal and bimodal distribution amplitudes of light mesons without recourse to particular computational schemes and the reasons for them.

show abstract

“…. , 10) to be negligible but bearing a large margin for error, see [29,38] for details. The admissible region of the first two moments ξ 2 π and ξ 4 π is shown graphically in Fig.…”

Section: A Leading Twist Da Models and Their Uncertaintiesmentioning

confidence: 99%

Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules

2016

View full text Add to dashboard Cite

We consider the calculation of the pion-photon transition form factor F γ * γπ 0 (Q 2 ) within light-cone sum rules focusing attention to the low-mid region of momenta. The central aim is to estimate the theoretical uncertainties which originate from a wide variety of sources related to (i) the relevance of next-to-next-to-leading order radiative corrections (ii) the influence of the twist-four and the twistsix term (iii) the sensitivity of the results on auxiliary parameters, like the Borel scale M 2 , (iv) the role of the phenomenological description of resonances, and (v) the significance of a small but finite virtuality of the quasireal photon. Predictions for F γ * γπ 0 (Q 2 ) are presented which include all these uncertainties and found to comply within the margin of experimental error with the existing data in the Q 2 range between 1 and 5 GeV 2 , thus justifying the reliability of the applied calculational scheme. This provides a solid basis for confronting theoretical predictions with forthcoming data bearing small statistical errors.

show abstract

Deep inside the pion. Reconciling QCD theory with data

Cited by 41 publications

References 41 publications

Tagging the pion quark structure in QCD

Tagging the pion quark structure in QCD

Chimera distribution amplitudes for the pion and the longitudinally polarized ρ -meson

Systematic estimation of theoretical uncertainties in the calculation of the pion-photon transition form factor using light-cone sum rules

Contact Info

Product

Resources

About