Speaker
Mr
Fabian Wissbrock
(DESY Zeuthen)
Description
Heavy flavor contributions are of key relevance for DIS precision analyses of HERA and world hard scattering data. We present recent results on the $O(as^3 T_F^2)$ contributions to the massive operator matrix elements (OMEs) describing the Heavy Flavor Wilson Coefficients in the limit $Q^2 \gg m^2$ for general values of the Mellin variable $N$. We thereby consider contributions stemming from diagrams with two fermionic lines of identical or different masses. For two heavy flavor Wilson coefficients, $L_{q}^{\sf PS}(N)$ and $L_{g}^{\sf S}$, the complete 3-loop results for general vales of $N$ has been obtained. Along with the computation for the OMEs a first independent recomputation of the corresponding 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. All our results could be expressed by nested harmonic sums only, while in intermediary results more general structures emerged.
Primary authors
Mr
Carsten Schneider
(RISC Linz)
Mr
Fabian Wissbrock
(DESY Zeuthen)
Mrs
Isabella Bierenbaum
(RWTH Aachen)
Mr
Jakob Ablinger
(RISC Linz)
Mr
Johannes Bluemlein
(DESY Zeuthen)
Mr
Sebastian Klein
(RWTH Aachen)
