• Application of FIRE for the calculation of photon matrix elements

• # Fulltext

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

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

• # Pramana – Journal of Physics

Volume 96, 2022
All articles
Continuous Article Publishing mode

• # Editorial Note on Continuous Article Publication

Posted on July 25, 2019