The \(O(\alpha_s^3n_fT_F^2C_{A, F})\) contributions to the gluonic massive operator matrix elements. (English) Zbl 1262.81190
Summary: The \(O(\alpha_s^3n_fT_F^2C_{A, F})\) terms to the massive gluonic operator matrix elements are calculated for general values of the Mellin variable \(N\) using a new summation technique. These twist-2 matrix elements occur as transition functions in the variable flavor number scheme at NNLO. The calculation uses sum-representations in generalized hypergeometric series turning into harmonic sums. The analytic continuation to complex values of \(N\) is provided.
MSC:
| 81V05 | Strong interaction, including quantum chromodynamics |
| 14D21 | Applications of vector bundles and moduli spaces in mathematical physics (twistor theory, instantons, quantum field theory) |
| 33C20 | Generalized hypergeometric series, \({}_pF_q\) |
