New Heavy Flavor Contributions to the DIS Structure Function $F_2(x,Q^2)$ at $O(\alpha_s^3)

A. Hasselhuhn; C. Schneider; F. Wi{\ss}brock; J. Ablinger; J. Bl\"umlein; S. Klein

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New Heavy Flavor Contributions to the DIS Structure Function $F_2(x,Q^2)$ at $O(\alpha_s^3)

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arxiv 1202.2700 v1 pith:TXNM6NKM submitted 2012-02-13 hep-ph hep-exmath-phmath.AGmath.MP

J. Ablinger , J. Blümlein , A. Hasselhuhn , S. Klein , C. Schneider , F. Wi{ss}brock This is my paper

classification hep-phhep-exmath-phmath.AGmath.MP

keywords alphafunctionharmonicresultsstructurearisebrieflycalculation

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abstract

We report on recent results obtained for the massive Wilson coefficients which contribute to the structure function $F_2(x,Q^2)$ at $O(\alpha_s^3)$ in the region $Q^2/m^2 \gsim 10$. In the calculation new species of harmonic sums and harmonic polylogarithms generated by cyclotomic polynomials arise in intermediary results which are briefly discussed.

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