Information on the pion distribution amplitude from the pion-photon transition form factor with the Belle and BABAR data

Wu, Xing-Gang; Huang, Tao; Zhong, Tao

doi:10.1088/1674-1137/37/6/063105

Cited by 22 publications

(47 citation statements)

References 85 publications

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“…[61], we have studied the pion-photon TFF with the pQCD approach by carefully dealing with the transverse-momentum corrections [1,[12][13][14]. Generally, the pion-photon TFF F ðQ 2 Þ can be written as a sum of the valence-quark part F ðVÞ ðQ 2 Þ and the non-valence-quark part F NV ðQ 2 Þ,…”

Section: Discussionmentioning

confidence: 99%

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Determination of the pion distribution amplitude

2013

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Right now, we have not enough knowledge to determine the hadron distribution amplitudes (DAs) which are universal physical quantities in the high energy processes involving hadron for applying pQCD to exclusive processes. Even for the simplest pion, one can't discriminate from different DA models. Inversely, one expects that processes involving pion can in principle provide strong constraints on the pion DA. For example, the pion-photon transition form factor (TFF) can get accurate information of the pion wave function or DA, due to the single pion in this process. However, the data from Belle and BABAR have a big difference on TFF in high $Q^2$ regions, at present, they are helpless for determining the pion DA. At the present paper, we think it is still possible to determine the pion DA as long as we perform a combined analysis of the most existing data of the processes involving pion such as $\pi \to \mu \bar{\nu}$, $\pi^0 \to \gamma \gamma$, $B\to \pi l \nu$, $D \to \pi l \nu$, and etc. Based on the revised light-cone harmonic oscillator model, a convenient DA model has been suggested, whose parameter $B$ which dominates its longitudinal behavior for $\phi_{\pi}(x,\mu^2)$ can be determined in a definite range by those processes. A light-cone sum rule analysis of the semi-leptonic processes $B \to \pi l \nu$ and $D \to \pi l \nu$ leads to a narrow region $B = [0.01,0.14]$, which indicate a slight deviation from the asymptotic DA. Then, one can predict the behavior of the pion-photon TFF in high $Q^2$ regions which can be tested in the future experiments. Following this way it provides the possibility that the pion DA will be determined by the global fit finally.Comment: 9 pages, 6 figure

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Section: Discussionmentioning

confidence: 99%

“…[12][13][14]. It has been found that by a proper change of the pion DA parameters, one can conveniently simulate the shape of the DA from the asymptotic-like to the CZ-like form.…”

Section: Introductionmentioning

confidence: 99%

Determination of the pion distribution amplitude

2013

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“…[21], the average of the squared transverse momentum k 2 ⊥ 1/2 K * could be determined from the light-cone wavefunction which is related to the LCDA by integrating out its transverse momentum dependence. To fix the parameter, we adopt k 2 ⊥ 1/2 K * = 0.37(2)GeV [28,34].…”

Section: A Basic Inputsmentioning

confidence: 99%

Reconsideration of the B→K* transition form factors within the QCD light-cone sum rules

Cheng

2017

Phys. Rev. D

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In this paper, we study the B → K * transition form factors (TFFs) within the QCD light-cone sum rules (LCSR) approach. Two correlators, i.e. the usual one and the right-handed one, are adopted in the LCSR calculation. The resultant LCSRs for the B → K * TFFs are arranged according to the twist structure of the K * -meson light-cone distribution amplitudes (LCDAs), whose twist-2, twist-3 and twist-4 terms behave quite differently by using different correlators. We observe that the twist-4 LCDAs, though generally small, shall have sizable contributions to the TFFs A 1/2 , V and T1, thus the twist-4 terms should be kept for a sound prediction. We also observe that even though different choices of the correlator lead to different LCSRs with different twist contributions, the large correlation coefficients for most of the TFFs indicate that the LCSRs for different correlators are close to each order, not only for their values at the large recoil point q 2 = 0 but also for their ascending trends in whole q 2 -region. Such a high degree of correlation is confirmed by their application to the branching fraction of the semi-leptonic decay B → K * µ + µ − . Thus, a proper choice of correlator may inversely provide a chance for probing uncertain LCDAs, i.e. the contributions from those LCDAs can be amplified to a certain degree via a proper choice of correlator, thus amplifying the sensitivity of the TFFs, and hence their related observables, to those LCDAs.

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“…From Eqs. (14) one has then α m = (m uζ /κ +σ u )/(1 −ζ/κ). For the wave function renormalization we use the parametrization [33,35] …”

Section: Introductionmentioning

confidence: 99%

“…The functions f (p) and g(p) can be now easily obtained from Eqs. (14)(15)(16)(17)(18). As shown in Refs.…”

Section: Introductionmentioning

confidence: 99%

η−γ and η′−γ transition form factors in a nonlocal NJL model

2017

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We study the η and η ′ distribution amplitudes (DAs) in the context of a nonlocal SU(3) L ⊗ SU(3) R chiral quark model. The corresponding Lagrangian allows to reproduce the phenomenological values of pseudoscalar meson masses and decay constants, as well as the momentum dependence of the quark propagator arising from lattice calculations. It is found that the obtained DAs have two symmetric maxima, which arise from new contributions generated by the nonlocal character of the interactions. These DAs are then applied to the calculation of the η-γ and η ′ -γ transition form factors. Implications of our results regarding higher twist corrections and/or contributions to the transition form factors originated by gluon-gluon components in the η and η ′ mesons are discussed.

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Information on the pion distribution amplitude from the pion-photon transition form factor with the Belle and BABAR data

Cited by 22 publications

References 85 publications

Determination of the pion distribution amplitude

Determination of the pion distribution amplitude

Reconsideration of the B→K* transition form factors within the QCD light-cone sum rules

η−γ and η′−γ transition form factors in a nonlocal NJL model

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