Next-to-Next-to-Leading-Order QCD Prediction for the Photon-Pion Form Factor

Abstract

We accomplish the complete two-loop computation of the leading-twist contribution to the photon-pion transition form factor $\gamma {\gamma }^{\ast }\to {\pi }^0$ by applying the hard-collinear factorization theorem together with modern multi-loop techniques. The resulting predictions for the form factor indicate that the two-loop perturbative correction is numerically important. We also demonstrate that our results will play a key role in disentangling various models of the twist-two pion distribution amplitude thanks to the envisaged precision at Belle II.

arXiv commentPublished version in Physical Review Letters. Coefficient functions in the electronic form are given in the ancillary file

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