Heavy-Quark Production in DIS: Mellin Moments for Phenomenology
Abstract
Heavy-quark production in deep-inelastic scattering probes the gluon distribution, and the precision of current and future data requires predictions beyond next-to-leading order. We calculate the even Mellin moments N = 2 to $22$ of the next-to-leading-order heavy-quark coefficient functions for F2 and FL, retaining the full heavy-quark mass dependence. This includes the gluon channel, for which no analytic result is available. They provide a test of the parametrisations used in phenomenology: at a representative kinematic point these are accurate to better than one per cent in the gluon channel, whereas in the quark channels we find deviations of up to 20% over a wide range of Mellin moments, signalling significant differences in the corresponding x-space distributions. As a new result at next-to-next-to-leading order, the lowest moment N = 2 has been determined exactly.
Related
- Charm quark production in heavy-ion collisions as a signature of pre-equilibrium
- Absence of linear power corrections in heavy-quark pair production in a non-Abelian gauge theory
- Top-quark pair production sensitivity to heavy new physics at the FCC-ee
- Antenna subtraction at NNLO for heavy quark pair production at hadron colliders: the non-diagonal channels
- Entropy Production and Thermalization in Heavy-Quark Langevin Dynamics
BibTeX
@misc{klann2026heavyquark,
title = {{Heavy-Quark Production in DIS: Mellin Moments for Phenomenology}},
author = {Marco Klann and Sven-Olaf Moch and Kay Schönwald},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.23452},
eprint = {2609.23452},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.23452},
note = {CC BY-NC-ND 4.0},
}
RIS
TY - UNPB
TI - Heavy-Quark Production in DIS: Mellin Moments for Phenomenology
AU - Marco Klann
AU - Sven-Olaf Moch
AU - Kay Schönwald
PY - 2026
DA - 2026/09/20
PB - arXiv
DO - 10.48550/arxiv.2609.23452
UR - https://arxiv.org/abs/2609.23452
AB - Heavy-quark production in deep-inelastic scattering probes the gluon distribution, and the precision of current and future data requires predictions beyond next-to-leading order. We calculate the even Mellin moments N = 2 to $22$ of the next-to-leading-order heavy-quark coefficient functions for F_2 and F_L, retaining the full heavy-quark mass dependence. This includes the gluon channel, for which no analytic result is available. They provide a test of the parametrisations used in phenomenology: at a representative kinematic point these are accurate to better than one per cent in the gluon channel, whereas in the quark channels we find deviations of up to 20% over a wide range of Mellin moments, signalling significant differences in the corresponding x-space distributions. As a new result at next-to-next-to-leading order, the lowest moment N = 2 has been determined exactly.
ER -