New Results on the 3-Loop Heavy Flavor Wilson Coefficients in Deep-Inelastic Scattering

2012/12/24 by Ablinger, J., Blümlein, J., De Freitas, A. +4
#FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph)

paper · doi:10.48550/arxiv.1212.5950

Abstract

We report on recent results obtained for the 3-loop heavy flavor Wilson coefficients in deep-inelastic scattering (DIS) at general values of the Mellin variable N at larger scales of Q². These concern contributions to the gluonic ladder-topologies, the transition matrix elements in the variable flavor scheme of O(n_f T_F²) and O(T_F²), and first results on higher 3-loop topologies. The knowledge of the heavy flavor Wilson coefficients at 3-loop order is of importance to extract the parton distribution functions and α_s(M_Z²) in complete NNLO QCD analyses of the world precision data on the structure function F₂(x,Q²).

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