Analytic NNLO partonic coefficient functions for F2, FL, F3 in charged-current DIS with exact charm mass, expressed via Goncharov polylogarithms and Chen iterated integrals.
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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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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hep-ph 2years
2026 2representative citing papers
N³LO DIS implementation in VFNS with improved massive neutral-current coefficient approximation for PDF fits.
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Analytic results for heavy-quark contributions to charged-current DIS at NNLO
Analytic NNLO partonic coefficient functions for F2, FL, F3 in charged-current DIS with exact charm mass, expressed via Goncharov polylogarithms and Chen iterated integrals.
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Implementation of DIS at N$^3$LO for PDF determination
N³LO DIS implementation in VFNS with improved massive neutral-current coefficient approximation for PDF fits.