Laplace-Space Analysis of xF3 Including Nuclear Effects and Gegenbauer-Polynomial Parton Distributions
Abstract
We present a next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) QCD analysis of the non-singlet structure function xF3, utilizing a Gegenbauer-polynomial representation for the input parton distribution functions (PDFs). The main objective is to assess how this flexible parameterization improves the extraction of valence quark distributions in the presence of nuclear effects. To this end, we incorporate nuclear modification factors into the input PDFs for heavy nuclear targets and solve the DGLAP evolution equations analytically in Laplace space. The structure function in Bjorken-x space is then reconstructed using a Jacobi polynomial expansion. This combined framework enables a systematic investigation of the xF3 data from the CCFR, NuTeV, and CHORUS experiments at both NLO and NNLO accuracies. We further examine the sensitivity of the extracted distributions to nuclear corrections and discuss their implications for the Gross--Llewellyn Smith, Bjorken, and Adler sum rules. Our results demonstrate that the Gegenbauer-polynomial PDF formalism provides a flexible and efficient framework for describing nuclear xF3 data, yielding improved phenomenological consistency across a wide kinematic range.
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BibTeX
@misc{tehrani2026laplacespace,
title = {{Laplace-Space Analysis of $xF_3$ Including Nuclear Effects and Gegenbauer-Polynomial Parton Distributions}},
author = {Shahin Atashbar Tehrani and Javad Sheibani and Elham Astaraki and Reyhaneh Farashaeian and Kourosh and Gheisari},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2607.28105},
eprint = {2607.28105},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.28105},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Laplace-Space Analysis of xF_3 Including Nuclear Effects and Gegenbauer-Polynomial Parton Distributions
AU - Shahin Atashbar Tehrani
AU - Javad Sheibani
AU - Elham Astaraki
AU - Reyhaneh Farashaeian
AU - Kourosh
AU - Gheisari
PY - 2026
DA - 2026/10/16
PB - arXiv
DO - 10.48550/arxiv.2607.28105
UR - https://arxiv.org/abs/2607.28105
AB - We present a next-to-leading order (NLO) and next-to-next-to-leading order (NNLO) QCD analysis of the non-singlet structure function xF_3, utilizing a Gegenbauer-polynomial representation for the input parton distribution functions (PDFs). The main objective is to assess how this flexible parameterization improves the extraction of valence quark distributions in the presence of nuclear effects. To this end, we incorporate nuclear modification factors into the input PDFs for heavy nuclear targets and solve the DGLAP evolution equations analytically in Laplace space. The structure function in Bjorken-x space is then reconstructed using a Jacobi polynomial expansion. This combined framework enables a systematic investigation of the xF_3 data from the CCFR, NuTeV, and CHORUS experiments at both NLO and NNLO accuracies. We further examine the sensitivity of the extracted distributions to nuclear corrections and discuss their implications for the Gross--Llewellyn Smith, Bjorken, and Adler sum rules. Our results demonstrate that the Gegenbauer-polynomial PDF formalism provides a flexible and efficient framework for describing nuclear xF_3 data, yielding improved phenomenological consistency across a wide kinematic range.
ER -