Distinguishing Quarks and Gluons in Pion and Kaon PDFs

Bednar, Kyle D.; Cloet, Ian C.; Tandy, Peter C.

doi:10.1103/PhysRevLett.124.042002

Title: Distinguishing Quarks and Gluons in Pion and Kaon PDFs

Journal Article · 31 January 2020 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.124.042002 · OSTI ID:1607468

Bednar, Kyle D. ^[1]; Cloet, Ian C. ^[2]; Tandy, Peter C. ^[3]

Argonne National Lab. (ANL), Argonne, IL (United States); Kent State Univ., Kent, OH (United States)
Argonne National Lab. (ANL), Argonne, IL (United States)
Kent State Univ., Kent, OH (United States); Univ. of Adelaide, SA (Australia)

The leading-twist parton distribution functions of the pion and kwon are calculated for the first time using a rainbow-ladder truncation of QCD's Dyson-Schwinger equations (DSEs) that self-consistently sums all planar diagrams. The nonperturbative gluon dressing of the quarks is thereby correctly accounted for, which in practice means solving the inhomogeneous Bethe-Salpeter equation (BSE) for the quark operator that defines the spin-independent quark distribution functions. An immediate consequence of using this dressed vertex is that gluons carry 35% of the pion's and 30% of the kaon's light-cone momentum, with the remaining momentum carried by the quarks. The scale associated with these DSE results is μ₀ = 0.78 GeV. The gluon effects generated by the inhomogeneous BSE are inherently nonperturbative and cannot be mimicked by the perturbative QCD evolution equations. A key consequence of this gluon dressing is that the valence quarks have reduced support at low-to-intermediate x, where the gluons dominate, and increased support at large x. As a result, our DSE calculation of the pion's valence quark distribution is in excellent agreement with the Conway et al. pion-induced Drell-Yan data, but nevertheless exhibits the q_π(x) similar or equal to (1 - x)² behavior as x -> 1 predicted by perturbative QCD.

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Research Organization:: Argonne National Laboratory (ANL), Argonne, IL (United States)

Sponsoring Organization:: National Science Foundation (NSF); USDOE Office of Science (SC), Nuclear Physics (NP) (SC-26)

Grant/Contract Number:: AC02-06CH11357

OSTI ID:: 1607468

Journal Information:: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 4 Vol. 124; ISSN 0031-9007

Publisher:: American Physical Society (APS)Copyright Statement

Country of Publication:: United States

Language:: English

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