Heavy quark mass effects in charged-current deep-inelastic scattering at approximate NNLO in the Aivazis-Collins-Olness-Tung scheme

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Main Authors: Risse, Peter, Bertone, Valerio, Ježo, Tomas, Kovařík, Karol, Kusina, Aleksander, Olness, Fredrick, Schienbein, Ingo
Format: Preprint
Published: 2025
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author Risse, Peter
Bertone, Valerio
Ježo, Tomas
Kovařík, Karol
Kusina, Aleksander
Olness, Fredrick
Schienbein, Ingo
author_facet Risse, Peter
Bertone, Valerio
Ježo, Tomas
Kovařík, Karol
Kusina, Aleksander
Olness, Fredrick
Schienbein, Ingo
contents The approximate SACOT-$χ$ scheme for heavy quark production in deep-inelastic scattering was initially formulated for the neutral current structure functions $F_2$ and $F_L$. We extend this approach to the charged current case (also including $F_3$), and thereby complete the definitions for the most relevant inclusive structure functions. Furthermore, we implement these structure functions in the open-source code $\texttt{APFEL++}$ which provides fast numerical evaluations over a wide kinematic range; this addition to the $\texttt{APFEL++}$ code is publicly available, with details provided in the appendix. This SACOT-$χ$ implementation enables, for the first time, detailed numerical insights on the mass dependence of the structure functions and cross sections in the $(x,Q^2)$-plane for both neutral and charged current processes. We consider kinematic regions relevant for the experimental measurements from fixed-target $ν$DIS experiments (NuTeV, CCFR and Chorus) and HERA, and also projections for the upcoming EIC. In particular, the $ν$DIS experiments reveal a surprisingly strong dependence on the mass effects, offering valuable insights that may help resolve long-standing challenges in accurately describing these datasets.
format Preprint
id arxiv_https___arxiv_org_abs_2504_13317
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Heavy quark mass effects in charged-current deep-inelastic scattering at approximate NNLO in the Aivazis-Collins-Olness-Tung scheme
Risse, Peter
Bertone, Valerio
Ježo, Tomas
Kovařík, Karol
Kusina, Aleksander
Olness, Fredrick
Schienbein, Ingo
High Energy Physics - Phenomenology
The approximate SACOT-$χ$ scheme for heavy quark production in deep-inelastic scattering was initially formulated for the neutral current structure functions $F_2$ and $F_L$. We extend this approach to the charged current case (also including $F_3$), and thereby complete the definitions for the most relevant inclusive structure functions. Furthermore, we implement these structure functions in the open-source code $\texttt{APFEL++}$ which provides fast numerical evaluations over a wide kinematic range; this addition to the $\texttt{APFEL++}$ code is publicly available, with details provided in the appendix. This SACOT-$χ$ implementation enables, for the first time, detailed numerical insights on the mass dependence of the structure functions and cross sections in the $(x,Q^2)$-plane for both neutral and charged current processes. We consider kinematic regions relevant for the experimental measurements from fixed-target $ν$DIS experiments (NuTeV, CCFR and Chorus) and HERA, and also projections for the upcoming EIC. In particular, the $ν$DIS experiments reveal a surprisingly strong dependence on the mass effects, offering valuable insights that may help resolve long-standing challenges in accurately describing these datasets.
title Heavy quark mass effects in charged-current deep-inelastic scattering at approximate NNLO in the Aivazis-Collins-Olness-Tung scheme
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2504.13317