Quantum Field Theory: Developments and Perspectives

The $O(\alpha_s^3)$ Massive Operator Matrix Elements of $O(n_f)$ for the Structure Function $F_2(x,Q^2)$

Not scheduled

1m

DESY Main Auditorium (DESY Hamburg)

Speaker

Mr Fabian Wißbrock (DESY Zeuthen)

Description

The contributions $\propto n_f$ to the $O(\alpha_s^3)$ massive operator matrix elements describing the heavy flavor Wilson coefficients in the limit $Q^2 \gg m^2$ were computed for the structure function $F_2(x,Q^2)$ and transversity for general values of the Mellin variable $N$. Here, for two matrix elements, $A_{qq,Q}^{\sf PS}(N)$ and $A_{qg,Q}(N)$, the complete result has been obtained. A first independent computation of the contributions to the 3--loop anomalous dimensions $\gamma_{qg}(N)$, $\gamma_{qq}^{\sf PS}(N)$, and $\gamma_{qq}^{\sf NS,(TR)}(N)$ has been performed. In the computation advanced summation technologies for nested sums over products of hypergeometric terms with harmonic sums have been used. For intermediary results generalized harmonic sums occured, while the final results could be expressed by nested harmonic sums only.