Testing momentum dependence of the nonperturbative hadron structure in a global QCD analysis

التفاصيل البيبلوغرافية
العنوان: Testing momentum dependence of the nonperturbative hadron structure in a global QCD analysis
المؤلفون: Courtoy, A., Nadolsky, Pavel M.
المصدر: Phys. Rev. D 103, 054029 (2021)
سنة النشر: 2020
المجموعة: High Energy Physics - Phenomenology
مصطلحات موضوعية: High Energy Physics - Phenomenology
الوصف: We discuss strategies for comparisons of nonperturbative QCD predictions for parton distribution functions (PDFs) with high-energy experiments in the region of large partonic momentum fractions $x$. Analytic functional forms for PDFs cannot be uniquely determined solely based on discrete experimental measurements because of a mathematical property of mimicry of PDF parametrizations that we prove using a representation based on B\'ezier curves. Predictions of nonperturbative QCD approaches for the $x$ dependence of PDFs instead should be cast in a form that enables decisive comparisons against experimental measurements. Predictions for effective power laws of $(1-x)$ dependence of PDFs may play this role. Expectations for PDFs in a proton based on quark counting rules are compared against the effective power laws of $(1-x)$ dependence satisfied by CT18 next-to-next-to-leading order parton distributions. We comment on implications for studies of PDFs in a pion, in particular on the comparison of nonperturbative approaches with phenomenological PDFs.
Comment: 23 pages, 8 figures
نوع الوثيقة: Working Paper
DOI: 10.1103/PhysRevD.103.054029
URL الوصول: http://arxiv.org/abs/2011.10078
رقم الأكسشن: edsarx.2011.10078
قاعدة البيانات: arXiv
الوصف
DOI:10.1103/PhysRevD.103.054029