• Application of FIRE for the calculation of photon matrix elements

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      https://www.ias.ac.in/article/fulltext/pram/073/04/0639-0655

    • Keywords

       

      FIRE; polarized photon structure function; axial current.

    • Abstract

       

      The next-to-next-to-leading order (the order $\alpha \alpha_{s}^{2}$ ) corrections to the first moment of the polarized virtual photon structure function $g_{1}^{\gamma} (x, Q^{2}, P^{2})$ are studied in perturbative QCD for the kinematical region $\Lambda^{2} \ll P^{2} Q^{2}$, 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.

    • Author Affiliations

       

      Norihisa Watanabe1

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

       
  • Pramana – Journal of Physics | News

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