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The pion-photon transition form factor at two loops in QCD
by Jing Gao, Tobias Huber, Yao Ji, Yu-Ming Wang
Submission summary
| Authors (as registered SciPost users): | Tobias Huber |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2110.14776v1 (pdf) |
| Date accepted: | Feb. 28, 2022 |
| Date submitted: | Oct. 29, 2021, 4:20 p.m. |
| Submitted by: | Tobias Huber |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 15th International Symposium on Radiative Corrections: Applications of Quantum Field Theory to Phenomenology (RADCOR2021) |
| Ontological classification | |
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| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Phenomenological |
Abstract
We report on the fully analytic calculation of the leading-power contribution to the photon-pion transition form factor $\gamma \, \gamma^{\ast} \to \pi^0$ at two loops in QCD. The applied techniques are based on hard-collinear factorization, together with modern multi-loop methods. We focus both, on the technical details such as the treatment of evanescent operators, and the phenomenological implications. Our results indicate that the two-loop correction is numerically comparable to the one-loop effect in the same kinematic domain. We also demonstrate that our results will play a key role in disentangling various models for the twist-two pion distribution amplitude thanks to the envisaged precision at Belle II.
Published as SciPost Phys. Proc. 7, 022 (2022)
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