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Improved estimates of the pion-photon transition form factor in the (1leq Q²leq5)~GeV² range and their theoretical uncertainties

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arxiv 1611.02086 v1 pith:IEYQUGKI submitted 2016-11-07 hep-ph

Improved estimates of the pion-photon transition form factor in the (1leq Q²leq5)~GeV² range and their theoretical uncertainties

classification hep-ph
keywords ordertheoreticalfactorformmathbfnnlopion-photonstemming
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We consider the pion-photon transition form factor at low to intermediate spacelike momenta within the theoretical framework of light-cone sum rules. We derive predictions which take into account all currently known contributions stemming from QCD perturbation theory up to the next-to-next-to-leading order (NNLO) and by including all twist terms up to order six. In order to enable a more detailed comparison with forthcoming high-precision data, we also estimate the main systematic theoretical uncertainties, stemming from various sources, and discuss their influence on the calculations --- in particular the dominant one related to the still uncalculated part of the NNLO contribution. The analysis addresses, in broad terms, also the role of the twist-two pion distribution amplitude derived with different approaches.

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