Bonn 2010 – scientific programme

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T: Fachverband Teilchenphysik

T 10: QCD (Theorie) I

T 10.9: Talk

Monday, March 15, 2010, 18:45–19:00, HG XVI

Towards complete asymptotic Heavy Flavor Wilson Coefficients of the Structure Function F₂(x,Q²) at O(α_s³): C_i T_F²- and C_i N_f T_F² Contributions — Johannes Bluemlein¹, Sebastian Klein², and •Fabian Wissbrock¹ — ¹DESY — ²RWTH Aachen

We compute the 3-loop fermion-loop corrections to the asymptotic heavy flavor Wilson coefficients of the structure function F₂(x,Q²) and of Transversity in the asymptotic region Q² ≫ m² ∝ C_i N_f T_F² and first contributions ∝ C_i T_F², with i = F,A. The computation is based on a factorization theorem of the massive Wilson coefficients into massive operator matrix elements and the massless Wilson coefficients. Our method is based on direct integration, avoiding the integration-by-parts technique, which is advantageous due to the compactness of the intermediate and final results. We also obtain the corresponding contributions to the 3-loop anomalous dimensions and confirm results in the literature