Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions

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Auteurs principaux: Liu, Wei-Yang, Zahed, Ismail
Format: Preprint
Publié: 2025
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author Liu, Wei-Yang
Zahed, Ismail
author_facet Liu, Wei-Yang
Zahed, Ismail
contents We evaluate the pion and kaon transverse momentum dependent parton distribution functions (TMDPDFs) in the instanton liquid model (ILM), a model of the QCD vacuum at low resolution. The relevant TMDs are factored into a constituent quark distribution times a rapidity dependent soft factor from staple-shaped Wilson lines, for fixed parton longitudinal momentum and transverse separation. The results are evolved to higher rapidities using the Collins-Soper (CS) kernel and higher resolution using renormalization group evolution. The comparison to existing extractions of pion TMDs from Drell-Yan (DY) data is briefly discussed.
format Preprint
id arxiv_https___arxiv_org_abs_2502_09789
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions
Liu, Wei-Yang
Zahed, Ismail
High Energy Physics - Phenomenology
High Energy Physics - Lattice
Nuclear Theory
We evaluate the pion and kaon transverse momentum dependent parton distribution functions (TMDPDFs) in the instanton liquid model (ILM), a model of the QCD vacuum at low resolution. The relevant TMDs are factored into a constituent quark distribution times a rapidity dependent soft factor from staple-shaped Wilson lines, for fixed parton longitudinal momentum and transverse separation. The results are evolved to higher rapidities using the Collins-Soper (CS) kernel and higher resolution using renormalization group evolution. The comparison to existing extractions of pion TMDs from Drell-Yan (DY) data is briefly discussed.
title Tomography of Pions and Kaons in the QCD Vacuum: Transverse Momentum Dependent Parton Distribution Functions
topic High Energy Physics - Phenomenology
High Energy Physics - Lattice
Nuclear Theory
url https://arxiv.org/abs/2502.09789