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The Logarithmic Contributions to the O(\alpha_s^3) Asymptotic Massive Wilson Coefficients and Operator Matrix Elements in Deeply Inelastic Scattering

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arxiv 1403.6356 v1 pith:MOXLYY6Y submitted 2014-03-25 hep-ph hep-exhep-th

classification hep-phhep-exhep-th
keywords massiveasymptoticcoefficientscontributionselementsexpressionslogarithmicmatrix
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We calculate the logarithmic contributions to the massive Wilson coefficients for deep-inelastic scattering in the asymptotic region $Q^2 \gg m^2$ to 3-loop order in the fixed-flavor number scheme and present the corresponding expressions for the massive operator matrix elements needed in the variable flavor number scheme. Explicit expressions are given both in Mellin-$N$ space and $z$-space.

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Cited by 4 Pith papers

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    Candia-v2 implements (approximate) N3LO x-space DGLAP evolution — exact four-loop non-singlet splitting functions, envelope-approximated singlet inputs, three-loop heavy-quark matching — as a public C++ package with G...

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