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Hauptverfasser: Klann, Marco, Moch, Sven-Olaf, Schönwald, Kay
Format: Preprint
Veröffentlicht: 2026
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Online-Zugang:https://arxiv.org/abs/2602.04455
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author Klann, Marco
Moch, Sven-Olaf
Schönwald, Kay
author_facet Klann, Marco
Moch, Sven-Olaf
Schönwald, Kay
contents We compute Mellin moments of the heavy-quark structure functions in deep-inelastic scattering at next-to-leading order in quantum chromodynamics, retaining their full dependence on the heavy-quark mass. Using the optical theorem and the operator product expansion, we derive analytic results for fixed Mellin moments $N = 2$ to $22$ of the structure functions $F_2$ and $F_L$. Our results reproduce the known expressions in the relevant asymptotic limits, in particular for virtualities of the exchanged photon $Q^2$ much larger than the heavy-quark mass squared $m^2$, and are in agreement with existing parametrisations of the next-to-leading-order coefficient functions. The computational set-up developed in this work also provides a direct pathway toward extending these calculations to next-to-next-to-leading order.
format Preprint
id arxiv_https___arxiv_org_abs_2602_04455
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Heavy-quark production in deep-inelastic scattering -- Mellin moments of structure functions
Klann, Marco
Moch, Sven-Olaf
Schönwald, Kay
High Energy Physics - Phenomenology
We compute Mellin moments of the heavy-quark structure functions in deep-inelastic scattering at next-to-leading order in quantum chromodynamics, retaining their full dependence on the heavy-quark mass. Using the optical theorem and the operator product expansion, we derive analytic results for fixed Mellin moments $N = 2$ to $22$ of the structure functions $F_2$ and $F_L$. Our results reproduce the known expressions in the relevant asymptotic limits, in particular for virtualities of the exchanged photon $Q^2$ much larger than the heavy-quark mass squared $m^2$, and are in agreement with existing parametrisations of the next-to-leading-order coefficient functions. The computational set-up developed in this work also provides a direct pathway toward extending these calculations to next-to-next-to-leading order.
title Heavy-quark production in deep-inelastic scattering -- Mellin moments of structure functions
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2602.04455