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γ*→ηγ and γ*→η′γ form factors to NNLO accuracy in perturbative QCD

Vladimir M. Braun1,*, Konstantin G. Chetyrkin2, and Alexander N. Manashov3,1

  • *Contact author: Vladimir.Braun@ur.de
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Phys. Rev. D 113, 056026 – Published 26 March, 2026

DOI: https://doi.org/10.1103/47v7-ss7l

Abstract

We use conformal symmetry to calculate the next to next to leading order (NNLO) anomalous dimension matrix (three loops) for flavor-singlet axial-vector QCD operators for spin N≤8 from a set of gauge-invariant two-point correlation functions. Combining this result with the recent calculation of the two-loop coefficient functions, we carry out the calculation of the γγ*→η and γγ*→η′ form factors at large momentum transfers to the NNLO accuracy in perturbative QCD.

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Phys. Rev. D 113, 056026– Published 26 March, 2026
  • Received 21 October 2025
  • Accepted 4 March 2026
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