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Next-to-Next-to-Leading-Order QCD Prediction for the Photon-Pion Form Factor
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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.
Forward citations
Cited by 3 Pith papers
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Kinematic power corrections to DVCS to twist-six accuracy
Complete kinematic power corrections up to twist-6 are derived for nucleon DVCS, and the series converges best when organized in powers of 1/(Q²+t).
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The two-loop coefficient functions for double deeply virtual Compton scattering
The paper derives the two-loop coefficient functions for the operator product expansion of two electromagnetic currents in general kinematics, the central ingredient for next-to-next-to-leading-order DDVCS predictions.
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Data-driven analysis of the $\gamma\gamma^*\rightarrow\pi^0$ system using mathematical models and the role of feedback-loop dynamics
A two-parameter fit model yields a half-saturation relation that is algebraically trivial, and a claimed improved Belle fit that is not quantitatively demonstrated.
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