What is this thing called pion distribution amplitude? From theory to data

Alexander P. Bakulev; N. G. Stefanis; S. V. Mikhailov

What is this thing called pion distribution amplitude? From theory to data

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arxiv hep-ph/0310267 v1 pith:YFYLWB53 submitted 2003-10-22 hep-ph

Alexander P. Bakulev , S. V. Mikhailov , N. G. Stefanis This is my paper · ORCID

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keywords piondataamplitudedistributionexperimentalsigmatheoryaccuracy

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We discuss the status of the pion distribution amplitude (DA) from analyzing the CLEO experimental data in the context of QCD sum-rule techniques and QCD perturbation theory at the NLO accuracy. The constraints extracted this way for the Gegenbauer coefficients a_2 and a_4 exclude \Phi_{CZ} at the 4\sigma level, while \Phi_{asy} is outside the 3\sigma error ellipse. These data provide strong support for the type of endpoint-suppressed, double-humped pion DA we derived via QCD sum rules with nonlocal condensates and favor a value of the vacuum quark virtuality \lambda_q^2 \simeq 0.4 GeV^2. This pion DA is in agreement with the E791 data, though these experimental results should be viewed carefully and further confirmation is necessary for a more accurate judging of pion DAs from them.

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