Abstract

We introduce a new method for calculating the mixing matrix for non-singlet quark operators including total derivatives, based solely on their renormalization structure in the chiral limit. As input, the method requires the well-known forward anomalous dimensions, which determine the evolution of parton distribution functions, and a calculation of the matrix elements of operators without total derivatives. Assuming a large number of quark flavors $n_f$, we are able to calculate the mixing matrix to fifth order in the strong coupling $\alpha_s$ in the $\overline{\mbox{MS}}$-scheme.

Highlights

  • Organized by: Institute of Physics, University of Silesia

  • Kraków Branch of the Polish Physical Society

  • Faculty of Physics, Astronomy and Applied Computer Science, Jagiellonian University

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Organized by: Institute of Physics, University of Silesia

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