The asymptotics of the transition form factor {gamma}{gamma}{sup *} {r_arrow} {pi}{sup 0}

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In this paper the authors present the result of a direct QCD sum rule calculation of the transition form factor {gamma}{gamma}{sup *} {r_arrow} {pi}{sup 0} in the region of moderately large invariant momentum Q{sup 2} > 1GeV{sup 2} of the virtual photon. In contrast to pQCD, they make no assumptions about the shape of the pion distribution amplitude {var_phi}{sub {pi}}(x). Their results agree with the Brodsky-Lepage proposal that the Q{sup 2}-dependence of this form factor is given by an interpolation between its Q{sup 2}=0 value fixed by the axial anomaly and 1/Q{sup 2} pQCD behavior for large Q{sup 2}, with ... continued below

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170 Kilobytes pages

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Radyushkin, A.V. & Ruskov, R. May 1, 1997.

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In this paper the authors present the result of a direct QCD sum rule calculation of the transition form factor {gamma}{gamma}{sup *} {r_arrow} {pi}{sup 0} in the region of moderately large invariant momentum Q{sup 2} > 1GeV{sup 2} of the virtual photon. In contrast to pQCD, they make no assumptions about the shape of the pion distribution amplitude {var_phi}{sub {pi}}(x). Their results agree with the Brodsky-Lepage proposal that the Q{sup 2}-dependence of this form factor is given by an interpolation between its Q{sup 2}=0 value fixed by the axial anomaly and 1/Q{sup 2} pQCD behavior for large Q{sup 2}, with normalization corresponding to the asymptotic form {var_phi}{sub pi}{sup as}(x)=6 f{sub {pi}}x(1{minus}x) of the pion distribution amplitude. Their prediction for the from factor F{sub {gamma}}{sup *}{gamma}{sup *}{pi}{sup 0}(q{sub 1}{sup 2} = 0,q{sub 2}{sup 2} = {minus}Q{sup 2}) is in good agreement with new CLEO data.

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170 Kilobytes pages

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  • International Conference on the Structure and the Interactions of the Photon, Egmond aan Zee (NL), 05/10/1997--05/15/1997

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  • Report No.: DOE/ER/40150-1559
  • Report No.: JLAB-THY-97-24
  • Report No.: hep-ph/9706518
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 756324
  • Archival Resource Key: ark:/67531/metadc711169

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  • May 1, 1997

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  • Sept. 12, 2015, 6:31 a.m.

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  • Feb. 5, 2016, 7:50 p.m.

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Radyushkin, A.V. & Ruskov, R. The asymptotics of the transition form factor {gamma}{gamma}{sup *} {r_arrow} {pi}{sup 0}, article, May 1, 1997; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc711169/: accessed November 21, 2018), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.