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

  • We perform an analysis of all existing experimental data on the pion-photon transition form factor (TFF). In the calculation, we include the next-to-leading order correction to the valence-quark contribution and estimate the non-valence-quark contribution by a phenomenological model based on the TFF's limiting behavior at both Q2→0 and Q2→∞. At present, the pion distribution amplitude (DA) is not de nitely determined, it is helpful to have a pion DA model that can mimic all the behaviors suggested in the literature. For the purpose, we adopt the conventional model for pion wavefunction/DA whose broadness is dominantly controlled by a single parameter B. We fix the DA parameters by using the CELLO, CLEO, BABAR and Belle data within small Q2 region (Q2≤15 GeV2), where all the data are consistent with each other. The pion-photon TFF is then extrapolated into a larger Q2 region. It is found that we still need more data at a large Q2 region in order to determine the precise value of B, and we hope that the de nite behavior of pion DA can be concluded nally by the consistent data in the coming future.
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WU Xing-Gang, HUANG Tao and ZHONG Tao. Information on the pion distribution amplitude from the pion-photon transition form factor with the Belle and BABAR data[J]. Chinese Physics C, 2013, 37(6): 063105. doi: 10.1088/1674-1137/37/6/063105
WU Xing-Gang, HUANG Tao and ZHONG Tao. Information on the pion distribution amplitude from the pion-photon transition form factor with the Belle and BABAR data[J]. Chinese Physics C, 2013, 37(6): 063105.  doi: 10.1088/1674-1137/37/6/063105 shu
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Received: 2012-10-19
Revised: 2013-01-30
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Information on the pion distribution amplitude from the pion-photon transition form factor with the Belle and BABAR data

    Corresponding author: WU Xing-Gang,
    Corresponding author: HUANG Tao,
    Corresponding author: ZHONG Tao,

Abstract: We perform an analysis of all existing experimental data on the pion-photon transition form factor (TFF). In the calculation, we include the next-to-leading order correction to the valence-quark contribution and estimate the non-valence-quark contribution by a phenomenological model based on the TFF's limiting behavior at both Q2→0 and Q2→∞. At present, the pion distribution amplitude (DA) is not de nitely determined, it is helpful to have a pion DA model that can mimic all the behaviors suggested in the literature. For the purpose, we adopt the conventional model for pion wavefunction/DA whose broadness is dominantly controlled by a single parameter B. We fix the DA parameters by using the CELLO, CLEO, BABAR and Belle data within small Q2 region (Q2≤15 GeV2), where all the data are consistent with each other. The pion-photon TFF is then extrapolated into a larger Q2 region. It is found that we still need more data at a large Q2 region in order to determine the precise value of B, and we hope that the de nite behavior of pion DA can be concluded nally by the consistent data in the coming future.

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