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Power corrections to the process \(\gamma^{*}\gamma \to \pi\pi\) in the running coupling method

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Abstract.

Power-suppressed corrections coming from the end-point integration regions in the amplitude of the process \(\gamma^{*}\gamma \to \pi\pi\) at large Q 2 and small squared center-of-mass energy W 2 are calculated in the QCD hard-scattering approach where the amplitudes factorize in a hard perturbatively calculable part and a generalized distribution amplitude. The running coupling method and the technique of infrared renormalon calculus are applied to obtain Borel resummed expressions for the two main components of the process amplitude. Numerical estimates for these power corrections are presented. They are sizeable when Q 2 < 10 GeV2.

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Authors and Affiliations

  1. High Energy Physics Laboratory, Baku State University, 370148, Baku, Azerbaijan

    S. S. Agaev

  2. Institut de Physique Nucléaire Orsay, 91406, Orsay, France

    S. S. Agaev & M. Guidal

  3. École Polytechnique, CPHT (Unité mixte de recherche du CNRS (UMR 7644)), 91128, Palaiseau, France

    B. Pire

Authors
  1. S. S. Agaev
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  2. M. Guidal
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  3. B. Pire
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Corresponding author

Correspondence to M. Guidal.

Additional information

Received: 29 March 2004, Revised: 11 May 2004, Published online: 1 October 2004

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Agaev, S.S., Guidal, M. & Pire, B. Power corrections to the process \(\gamma^{*}\gamma \to \pi\pi\) in the running coupling method. Eur. Phys. J. C 37, 457–464 (2004). https://doi.org/10.1140/epjc/s2004-02010-5

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  • DOI: https://doi.org/10.1140/epjc/s2004-02010-5

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