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Nucleon and pion PDFs: large-x asymptotics meets functional mimicry
by Aurore Courtoy, Pavel M. Nadolsky
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Submission summary
| Authors (as registered SciPost users): | Aurore Courtoy |
| Submission information | |
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| Preprint Link: | https://arxiv.org/abs/2108.04122v1 (pdf) |
| Date accepted: | 2022-05-06 |
| Date submitted: | 2021-08-10 13:52 |
| Submitted by: | Courtoy, Aurore |
| Submitted to: | SciPost Physics Proceedings |
| Proceedings issue: | 28th Annual Workshop on Deep-Inelastic Scattering (DIS) and Related Subjects (DIS2021) |
| Ontological classification | |
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| Academic field: | Physics |
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| Approach: | Phenomenological |
Abstract
We review strategies to unveil the primordial large-$x$ structure of the nucleons as well as the pion from hard-scattering experiments. Ideas are presented for learning about the $x\to 1$ limit of nonperturbative QCD dynamics at energy scales of order 1 GeV from collider experiments at much higher scales. The behavior of parton distributions at $x\to 1$ predicted by the quark counting rules and other low-energy theoretical approaches is contrasted with phenomenological PDFs. Polynomial mimicry of PDF parametrizations is one of many factors that influence the apparent power of the $(1-x)$ falloff. We discuss implications of the mimicry for the large-$x$ falloff of the pion PDFs.
Published as SciPost Phys. Proc. 8, 063 (2022)