Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering

A. Ablinger; A. Behring; J. Blümlein; A. De Freitas; A. Hasselhuhn; A. von Manteuffel; C. Raab; M. Round; C. Schneider; F. Wißbrock

arXiv · 1407.3638

Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering

A. Ablinger·A. Behring·J. Blümlein·A. De Freitas·A. Hasselhuhn·A. von Manteuffel·C. Raab·M. Round·C. Schneider·F. Wißbrock

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Abstract

We report on our latest results in the calculation of the three-loop heavy flavor contributions to the Wilson coefficients in deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$. We discuss the different methods used to compute the required operator matrix elements and the corresponding Feynman integrals. These methods very recently allowed us to obtain a series of new operator matrix elements and Wilson coefficients like the flavor non-singlet and pure singlet Wilson coefficients.

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A. Ablinger, A. Behring, J. Blümlein, A. De Freitas, A. Hasselhuhn, A. von Manteuffel, C. Raab, M. Round, C. Schneider, F. Wißbrock. 2014-07-14. Recent progress on the calculation of three-loop heavy flavor Wilson coefficients in deep-inelastic scattering. https://arxiv.org/abs/1407.3638

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