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Pion and kaon parton distribution functions from basis light front quantization and QCD evolution
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abstract
We investigate the parton distribution functions (PDFs) of the pion and the kaon by combining quantum chromodynamics (QCD) evolution with the basis light front quantization. The initial PDFs result from the light front wave functions obtained by diagonalizing the effective Hamiltonian consisting of the holographic QCD confinement potential, a complementary longitudinal confinement potential, and the color-singlet Nambu--Jona-Lasinio interactions. The valence-quark PDF of the pion, after QCD evolution, is consistent with the result from the E-0615 experiment at Fermilab. Meanwhile, the pion structure function calculated from the PDFs agrees with the ZEUS and the H1 experiments at DESY-HERA for large $x$. Additionally, the ratio of the up quark PDF of the kaon to that of the pion is in agreement with the NA-003 experiment at CERN. We also present the cross section for the pion-nucleus induced Drell-Yan process with the obtained pion PDFs supplemented by the PDFs of the target nuclei.
Forward citations
Cited by 8 Pith papers
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Gradient flow for parton distribution functions: first application to the pion
Pion PDF moment ratios up to <x^5> were extracted from lattice QCD with gradient flow and agree with phenomenological fits.
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BLFQ proton and J/ψ light-front wave functions yield a slightly lower exclusive J/ψ photoproduction cross section than prior models, with matching exponential slope B≈3 GeV^{-2}, usable as BK initial conditions.
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Gravitational form factors of light mesons from Basis Light-Front Quantization
Gravitational form factors of pion and kaon are computed in BLFQ; A(Q^2) agrees with lattice QCD while D(Q^2) is enhanced at low Q^2 due to small-x and zero-mode sensitivity in the truncated model.
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Pion PDFs from holographic light-front QCD are consistent with global analyses and produce J/ψ cross sections matching experimental data across energies and targets.
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Valence quark distribution of the pion inside a medium with finite baryon density: A Nambu--Jona-Lasinio model approach
The authors use the two-flavor NJL model to obtain medium-modified constituent quark masses and then compute the in-medium pion electromagnetic form factor, distribution amplitude, and parton distribution function via...
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Pion and Kaon PDFs from Lattice QCD via Large Momentum Effective Theory and Short-Distance Factorization
Lattice QCD calculation of pion and kaon unpolarized quark PDFs on a 32^3×64 ensemble with 260 MeV pion mass, using LaMET and SDF matching at boosts up to 2.07 GeV.
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Pion parton distribution functions and pion-nucleus induced $J/\psi$ production in extended light-front holographic QCD
Pion PDFs derived from holographic light-front wave functions yield NLO J/ψ production cross sections in pion-nucleus collisions that agree with data.
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An Analysis on the Parton Distribution Functions of Heavy Mesons
Light-cone quark model PDFs for kaon and heavy mesons are evolved via NLO DGLAP to predict EIC structure functions and COMPASS Drell-Yan cross sections while showing heavy constituents dominate momentum fractions.
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