3-loop Massive O(T_F²) Contributions to the DIS Operator Matrix Element A_gg

2014/09/04 by J. Ablinger, Ablinger, J., J. Blümlein +11 · 1 citation
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph

paper · pdf · doi:10.48550/arxiv.1409.1435

4 pages, Contribution to the Proceedings of QCD '14, Montpellier, July 2014

arxiv created 2014/09/04 · arxiv updated 2014/09/05

Abstract

Contributions to heavy flavour transition matrix elements in the variable flavour number scheme are considered at 3-loop order. In particular a calculation of the diagrams with two equal masses that contribute to the massive operator matrix element A_gg,Q⁽³⁾ is performed. In the Mellin space result one finds finite nested binomial sums. In x-space these sums correspond to iterated integrals over an alphabet containing also square-root valued letters.

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