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Single meson photoproduction and IR renormalons

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Abstract

Single pseudoscalar and vector mesons hard semi-inclusive photoproductionγh → MX via higher twist mechanism is calculated using the QCD running coupling constant method. It is proved that in the context of this method a higher twist contribution to the photoproduction cross section cannot be normalized in terms of the meson electromagnetic form factor. The structure of infrared renormalon singularities of the higher twist subprocess cross section and the resummed expression (the Borel sum) for it are found. Comparisons are made with earlier results, as well as with leading twist cross section. Phenomenological effects of studied contributions for π,K,ϱ-meson photoproduction are discussed.

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Author notes

  1. Shahin S. Agaeva

    Present address: High Energy Physics Lab., Baku State University, Z.Khalilov st. 23, 370148, Baku, Azerbaijan

Authors and Affiliations

  1. International Centre for Theoretical Physics, I-34014, Trieste, Italy

    Shahin S. Agaeva

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  1. Shahin S. Agaeva
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Correspondence to Shahin S. Agaeva.

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Strictly speaking,\(\Phi _M (x, \hat Q^2 )\) is a hadron distribution amplitude and it differs from a hadron wave function; the former can be obtained by integrating the corresponding wave function over partons' transverse momenta up to the factorization scale\(\hat Q^2 \). But in this paper we use these two terms on the same footing

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Agaeva, S.S. Single meson photoproduction and IR renormalons. Eur. Phys. J. C 1, 321–331 (1998). https://doi.org/10.1007/BF01245821

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