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Deep Inelastic Structure Functions at two Loops

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arxiv hep-ph/9912355 v1 pith:Q4KMUNH7 submitted 1999-12-15 hep-ph

Deep Inelastic Structure Functions at two Loops

classification hep-ph
keywords functionsloopmellinstructureagreementanalyticanalyticallyanomalous
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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We present the analytic calculation of the Mellin moments of the structure functions F_2, F_3 and F_L in perturbative QCD up to second order corrections and in leading twist approximation. We calculate the 2-loop contributions to the anomalous dimensions of the singlet and non-singlet operator matrix elements and the 2-loop coefficient functions of F_2, F_3 and F_L. We perform the inverse Mellin transformation analytically and find our results in agreement with earlier calculations in the literature by Zijlstra and van Neerven.

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