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Application of FIRE for the calculation of photon matrix elements

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Abstract

The next-to-next-to-leading order (the order αα 2 s ) corrections to the first moment of the polarized virtual photon structure function g γ1 (x,Q 2, P 2) are studied in perturbative QCD for the kinematical region Λ2 ≪ P 2 ≪ Q 2, where −Q 2 (−P 2) is the mass square of the probe (target) photon and Λ is the QCD scale parameter. In order to evaluate the two-loop Feynman diagrams for the photon matrix element of the gluon operator, I apply the recently developed algorithm FIRE which reduces a complicated sum of scalar Feynman integrals to a linear combination of a few master integrals. The details of the calculation are presented.

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Authors and Affiliations

  1. Department of Physics, Faculty of Engineering, Yokohama National University, Yokohama, 240-8501, Japan

    Norihisa Watanabe

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  1. Norihisa Watanabe
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Correspondence to Norihisa Watanabe.

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Watanabe, N. Application of FIRE for the calculation of photon matrix elements. Pramana - J Phys 73, 639–655 (2009). https://doi.org/10.1007/s12043-009-0134-4

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  • DOI: https://doi.org/10.1007/s12043-009-0134-4

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