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The three-loop single-mass heavy-flavor corrections to the structure functions $F_2(x,Q^2)$ and $g_1(x,Q^2)$

Fuente: arXiv

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Hauptverfasser:	Ablinger, J., Behring, A., Blümlein, J., De Freitas, A., von Manteuffel, A., Schneider, C., Schönwald, K.
Format:	Preprint
Veröffentlicht:	2025
Schlagworte:	High Energy Physics - Phenomenology High Energy Physics - Experiment
Online-Zugang:	Acceder al recurso
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author	Ablinger, J. Behring, A. Blümlein, J. De Freitas, A. von Manteuffel, A. Schneider, C. Schönwald, K.
author_facet	Ablinger, J. Behring, A. Blümlein, J. De Freitas, A. von Manteuffel, A. Schneider, C. Schönwald, K.
contents	We present quantitative results on the single-mass heavy-flavor contributions in the region of large virtualities $Q^2$ up to three-loop order to the unpolarized structure function $F_2(x,Q^2)$ and the polarized structure function $g_1(x,Q^2)$ for the first time. These results are relevant for precision QCD analyses of the World deep-inelastic data and the data taken at future colliders, such as the Electron--Ion Collider, since the scaling violations due to massless and massive Wilson coefficients are significantly different. In order to measure the strong coupling constant $α_s(M_Z^2)$ and the twist-2 parton distribution functions consistently at highest precision, the next-to-next-to-leading order corrections have to be taken into account. Furthermore, the complete three-loop corrections will allow to reduce the present theory error of the charm mass $m_c$ as measured form deep-inelastic data. We provide a fast and precise public numerical code for the unpolarized and polarized massive Wilson coefficients in the asymptotic region.
format	Preprint
id	arxiv_https___arxiv_org_abs_2509_16124
institution	arXiv
publishDate	2025
record_format	arxiv
spellingShingle	The three-loop single-mass heavy-flavor corrections to the structure functions $F_2(x,Q^2)$ and $g_1(x,Q^2)$ Ablinger, J. Behring, A. Blümlein, J. De Freitas, A. von Manteuffel, A. Schneider, C. Schönwald, K. High Energy Physics - Phenomenology High Energy Physics - Experiment We present quantitative results on the single-mass heavy-flavor contributions in the region of large virtualities $Q^2$ up to three-loop order to the unpolarized structure function $F_2(x,Q^2)$ and the polarized structure function $g_1(x,Q^2)$ for the first time. These results are relevant for precision QCD analyses of the World deep-inelastic data and the data taken at future colliders, such as the Electron--Ion Collider, since the scaling violations due to massless and massive Wilson coefficients are significantly different. In order to measure the strong coupling constant $α_s(M_Z^2)$ and the twist-2 parton distribution functions consistently at highest precision, the next-to-next-to-leading order corrections have to be taken into account. Furthermore, the complete three-loop corrections will allow to reduce the present theory error of the charm mass $m_c$ as measured form deep-inelastic data. We provide a fast and precise public numerical code for the unpolarized and polarized massive Wilson coefficients in the asymptotic region.
title	The three-loop single-mass heavy-flavor corrections to the structure functions $F_2(x,Q^2)$ and $g_1(x,Q^2)$
topic	High Energy Physics - Phenomenology High Energy Physics - Experiment
url	https://arxiv.org/abs/2509.16124