• Medientyp: E-Artikel
  • Titel: Nucleon and pion PDFs: large-x asymptotics meets functional mimicry
  • Beteiligte: Courtoy, Aurore; Nadolsky, Pavel
  • Erschienen: Stichting SciPost, 2022
  • Erschienen in: SciPost Physics Proceedings
  • Sprache: Nicht zu entscheiden
  • DOI: 10.21468/scipostphysproc.8.063
  • ISSN: 2666-4003
  • Schlagwörter: General Medicine ; General Chemistry
  • Entstehung:
  • Anmerkungen:
  • Beschreibung: <jats:p>We review strategies to unveil the primordial large-<jats:inline-formula><jats:alternatives><jats:tex-math>x</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>x</mml:mi></mml:math></jats:alternatives></jats:inline-formula> structure of the nucleons as well as the pion from hard-scattering experiments. Ideas are presented for learning about the <jats:inline-formula><jats:alternatives><jats:tex-math>x\to 1</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>→</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula> 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 <jats:inline-formula><jats:alternatives><jats:tex-math>x\to 1</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mi>x</mml:mi><mml:mo>→</mml:mo><mml:mn>1</mml:mn></mml:mrow></mml:math></jats:alternatives></jats:inline-formula> 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 <jats:inline-formula><jats:alternatives><jats:tex-math>(1-x)</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:mo stretchy="false" form="prefix">(</mml:mo><mml:mn>1</mml:mn><mml:mo>−</mml:mo><mml:mi>x</mml:mi><mml:mo stretchy="false" form="postfix">)</mml:mo></mml:mrow></mml:math></jats:alternatives></jats:inline-formula> falloff. We discuss implications of the mimicry for the large-<jats:inline-formula><jats:alternatives><jats:tex-math>x</jats:tex-math><mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>x</mml:mi></mml:math></jats:alternatives></jats:inline-formula> falloff of the pion PDFs.</jats:p>
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