Measurements of the meson-photon transition form factors of light pseudoscalar mesons at large momentum transfer

Gronberg, J.; Hill, T. S.; Kutschke, R.; Lange, D. J.; Menary, S.; Morrison, R. J.; Nelson, H. N.; Nelson, T. K.; Qiao, C. F.; Richman, J.; Roberts, D. A.; Rýd, A.; Witherell, M. S.; Balest, R.; Behrens, B. H.; Ford, W. T.; Park, H.; Roy, J.; Smith, J. G.; Alexander, J.; Bebek, C.; Berger, B. E.; Berkelman, K.; Bloom, K.; Cassel, D. G.; Cho, H. A.; Coffman, D. M.; Crowcroft, D. S.; Dickson, M.; Drell, P. S.; Ecklund, K. M.; Ehrlich, R.; Elia, R.; Foland, A.; Gaidarev, P.; Galik, R. S.; Gittelman, B.; Gray, S. W.; Hartill, D. L.; Heltsley, B. K.; Hopman, P. I.; Kandaswamy, J.; Kim, P. C.; Kreinick, D. L.; Lee, T.; Liu, Y.; Ludwig, G. S.; Masui, J.; Mevissen, J.; Mistry, N. B.; Ng, C. R.; Nordberg, E.; Ogg, M.; Patterson, J. R.; Peterson, D.; Riley, D.; Soffer, A.; Valant-Spaight, B.; Ward, C. P.; Athanas, M.; Avery, P.; Jones, C. D.; Lohner, M.; Prescott, C.; Yelton, J.; Zheng, J. P.; Brandenburg, G.; Briere, R. A.; Gao, Y. S.; Kim, D. Y J; Wilson, Richard; Yamamoto, H.; Browder, T. E.; Li, F.; Li, Y.; Rodriguez, J. L.; Bergfeld, T.; Eisenstein, B. I.; Ernst, J.; Gladding, G. E.; Gollin, G. D.; Hans, R. M.; Johnson, E.; Karliner, I.; Marsh, M. A.; Palmer, M.; Selen, M.; Thaler, J. J.; Edwards, K. W.; Bellerive, A.; Janicek, R.; MacFarlane, D. B.; McLean, K. W.; Patel, P. M.; Sadoff, A. J.; Ammar, R.; Baringer, P.; Bean, A.; Besson, D.; Coppage, D.; Darling, C.; Davis, R.; Hancock, N.; Kotov, S.; Kravchenko, I.; Kwak, N.; Anderson, S.; Kubota, Y.; Lattery, M.; Lee, S. J.; O’Neill, J. J.; Patton, S.; Poling, R.; Riehle, T.; Savinov, V.; Smith, A.; Alam, M. S.; Athar, S. B.; Ling, Z.; Mahmood, A. H.; Severini, H.; Timm, S.; Wappler, F. R.; Anastassov, A.; Blinov, S.; Duboscq, J. E.; Fisher, K. D.; Fujino, D.; Gan, K. K.; Hart, T.; Honscheid, K.; Kagan, H.; Kass, R.; Lee, J.; Spencer, M. B.; Sung, M.; Undrus, A.; Wanke, R.; Wolf, A.; Zoeller, M. M.; Nemati, B.; Richichi, S. J.; Ross, W. R.; Skubic, P.; Bishai, M.; Fast, J. E.; Gerndt, E.; Hinson, J. W.; Menon, N.; Miller, D. H.; Shibata, E. I.; Shipsey, I. P. J.; Yurko, M.; Gibbons, L. K.; Glenn, S.; Johnson, S. D.; Kwon, Y. J.; Roberts, S.; Thorndike, E. H.; Jessop, C. P.; Lingel, K.; Marsiske, H.; Перл, М.; Ugolini, D.; Wang, R.; Zhou, Xiang; Coan, T. E.; Fadeyev, V.; Korolkov, I.; Maravin, Y.; Narsky, I.; Shelkov, V.; Staeck, J.; Stroynowski, R.; Volobouev, I.; Ye, J.; Artuso, M.; Efimov, A.; Frasconi, F.; Gao, M.; Goldberg, M.; He, D.; Köpp, S.; Moneti, G. C.; Mountain, R.; Schuh, S.; Skwarnicki, T.; Stone, S.; Viehhauser, G. H. A.; Xing, X.; Bartelt, J.; Csorna, S. E.; Jain, V.; Márka, S.; Godang, R.; Kinoshita, K.; Lai, I. C.; Pomianowski, P.; Schrenk, S.; Bonvicini, G.; Cinabro, D.; Greene, R.; Perera, L. P.; Zhou, G. J.; Barish, B. C.; Chadha, M.; Chan, S.; Eigen, G.; Miller, J. S.; O’Grady, C. P.; Śchmidtler, M.; Urheim, J.; Weinstein, A. J.; Würthwein, F.; Asner, D. M.; Bliss, Daniel W.; Masek, G.; Paar, H. P.; Prell, S.; Sivertz, M.; Sharma, V.

doi:10.1103/physrevd.57.33

Cited by 496 publications

(658 citation statements)

References 56 publications

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“…Radiative logarithmic corrections to the pion distribution amplitude (PDA) can be easily implemented through the QCD evolution equations [2,3], which yield for Q 2 → ∞ the asymptotic wave function of the form * Electronic address: earriola@ugr.es † Electronic address: Wojciech.Broniowski@ifj.edu.pl ϕ π (x, ∞) = 6x(1 − x). Moreover, the pion transition form factor has been measured by the CELLO [4] and, recently, the CLEO collaborations [5]. A theoretical analysis of PDA based on these data and light-cone sum rules has been undertaken [6], showing that at Q = 2.4 GeV PDA is neither asymptotic, nor possesses the doublehump structure [7] proposed in early works [8] [49].…”

Section: Introductionmentioning

confidence: 99%

Pion light-cone wave function and pion distribution amplitude in the Nambu–Jona-Lasinio model

Arriola

Broniowski

2002

Phys. Rev. D

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We compute the pion light-cone wave function and the pion quark distribution amplitude in the Nambu-Jona-Lasinio model. We use the Pauli-Villars regularization method and as a result the distribution amplitude satisfies proper normalization and crossing properties. In the chiral limit we obtain the simple results, namely ϕπ(x) = 1 for the pion distribution amplitude, andfor the second moment of the pion light-cone wave function, where M is the constituent quark mass and fπ is the pion decay constant. After the QCD Gegenbauer evolution of the pion distribution amplitude good end-point behavior is recovered, and a satisfactory agreement with the analysis of the experimental data from CLEO is achieved. This allows us to determine the momentum scale corresponding to our model calculation, which is close to the value Q0 = 313 MeV obtained earlier from the analogous analysis of the pion parton distribution function. The value of k 2 ⊥ is, after the QCD evolution, around (400 MeV) 2 . In addition, the model predicts a linear integral relation between the pion distribution amplitude and the parton distribution function of the pion, which holds at the leading-order QCD evolution.

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Section: Introductionmentioning

confidence: 99%

Pion light-cone wave function and pion distribution amplitude in the Nambu–Jona-Lasinio model

Arriola

Broniowski

2002

Phys. Rev. D

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“…we show the normalized π → γ * γ TFF F πγ (Q 2 )/F πγ (0) for both timelike (q 2 = −Q 2 > 0) and spacelike (q 2 = −Q 2 < 0) momentum transfer region and compare our results with the available experimental data [2,3,33,34] in the spacelike Q 2 (> 0) region. The solid, dotted, and dashed lines represent our predictions of total…”

Section: Numerical Resultsmentioning

confidence: 68%

“…2. (Color online) The the normalized π → γ * γ transition form factor F πγ (Q 2 )/F πγ (0) for both timelike (q 2 = −Q 2 > 0) and spacelike (q 2 = −Q 2 < 0) momentum transfer region. The data are taken from [2,3,33,34].…”

Section: Manifestly Covariant Modelmentioning

confidence: 99%

Light-Front Quark Model Analysis of the \((\pi ^{0},\eta ,\eta ') \to \gamma ^{*}\gamma \) Transition Form Factors

Ryu

Choi

2018

Proceedings of the Workshop on Quarks and Compact Stars 2017 (QCS2017)

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We investigate (π 0 , η, η ) → γ * γ transition form factor (TFF) for both space-and timelike regions using the light-front quark model (LFQM). For the low energy regime, we compare our LFQM results of the TFFs for low timelike momentum transfer region and the slope parameters at q 2 = 0 with the recent experimental data from the Dalize decays of (π 0 , η, η ). For the high energy regime, we show the asymptotic behavior of TFFs for both space-and time-like regions and compare them with the available experimental data.

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“…Blue lines refer to set 1 and red lines to set 2 of the data from [5][6][7], with designations as in Fig. 2.…”

Section: Two-photon Processes For π 0 and η(η ′ ) In Qcdmentioning

confidence: 99%

“…Note that we have omitted for simplicity variables irrelevant for our discussion (see [3] and [4] for more details). Several experimental groups have measured Q 2 F γ * γπ 0 (Q 2 , q 2 → 0) and Q 2 F γ * γη(η ′ ) (Q 2 , q 2 → 0) in two-photon processes e + e − → e + e − γ * γ → e + e − X, where X = π 0 [5][6][7], η and η ′ [6,8].…”

Section: Two-photon Processes For π 0 and η(η ′ ) In Qcdmentioning

confidence: 99%

Pion-Photon Transition Form Factor and Pion Distribution Amplitude in QCD: Facing the Enigmatic Behavior of the BaBar Data

Stefanis

Bakulev²,

Михайлов³

et al. 2012

Nuclear Physics B - Proceedings Supplements

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We present an extended analysis of the data for the pion-photon transition form factor from different experiments, CELLO, CLEO, and BaBar, and discuss various theoretical approaches which try to reason from them. We focus on the divergent behavior of the BaBar data for the pion and those for the η(η ′ ) pseudoscalar mesons and comment on recently proposed explanations for this discrepancy. We argue that it is not possible at present to accommodate these data within the standard QCD framework self-consistently. Keywords:Meson transition form factors, pion distribution amplitude, QCD (light-cone) sum rules 1. Two-photon processes for π 0 and η(η ′ ) in QCD At the basis of applications of Quantum Chromodynamics (QCD), which governs the interactions of quarks and gluons, is the property of factorization of corresponding amplitudes in hard processes. Proving the property of factorization means that a hadronic process at large momentum transfer can be dissected in a product of distinct quantities each associated with separate regimes of dynamics. Then, subprocesses developing at short distances and involving partons-quarks and gluons-can be accurately described in a systematic way within perturbation theory. On the other hand, the dynamical (mainly nonperturbative) features of the hadron binding effects are encoded in correlators, which contain quark and gluon field operators, and can be parameterized in terms of light-cone wave functions and parton distribution functions. These quantities are process-independent and describe the universal interpolation between hadrons and their quark and gluon degrees of freedom as distributions over the fractions of * Corresponding author * * Speaker of the talk at the "Psi-to-Phi" Conference Email address: stefanis@tp2.ruhr-uni-bochum.de (N. G. Stefanis) the longitudinal and intrinsic transverse momenta carried by the partons. They have to be determined by nonperturbative methods (models), lattice calculations, or from the data.The (spacelike) transition form factors (TFFs) of pseudoscalar mesons, in particular the pion, have been extensively studied within QCD, because in leading order they are purely electromagnetic processes with the binding QCD effects being factorized out into the pion distribution amplitude (DA)-see [1] for a review and [2] for recent references. This means that for a highly virtual photon with the four-momentum transfer Q 2 and a quasi-real photon with q 2 → 0, the TFF can be cast as the convolution of the twist-two hard-scattering amplitude T (Q 2

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Measurements of the meson-photon transition form factors of light pseudoscalar mesons at large momentum transfer

Cited by 496 publications

References 56 publications

Pion light-cone wave function and pion distribution amplitude in the Nambu–Jona-Lasinio model

Pion light-cone wave function and pion distribution amplitude in the Nambu–Jona-Lasinio model

Light-Front Quark Model Analysis of the \((\pi ^{0},\eta ,\eta ') \to \gamma ^{*}\gamma \) Transition Form Factors

Pion-Photon Transition Form Factor and Pion Distribution Amplitude in QCD: Facing the Enigmatic Behavior of the BaBar Data

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