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 two-mass contribution to the three-loop pure singlet operator matrix element
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abstract
We present the two-mass QCD contributions to the pure singlet operator matrix element at three loop order in x-space. These terms are relevant for calculating the structure function $F_2(x,Q^2)$ at $O(\alpha_s^3)$ as well as for the matching relations in the variable flavor number scheme and the heavy quark distribution functions at the same order. The result for the operator matrix element is given in terms of generalized iterated integrals that include square root letters in the alphabet, depending also on the mass ratio through the main argument. Numerical results are presented.
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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.