Towards the three-dimensional parton structure of the pion: Integrating transverse momentum data into global QCD analysis

Abstract

We perform a new Monte Carlo QCD analysis of pion parton distribution functions, including, for the first time, transverse momentum dependent pion-nucleus Drell-Yan cross sections together with $p_{\mathrm{T}}$-integrated Drell-Yan and leading neutron electroproduction data from HERA. We assess the sensitivity of the Monte Carlo fits to kinematic cuts, factorization scale, and parametrization choice, and we discuss the impact of the various datasets on the pion's quark and gluon distributions. This study provides the necessary step towards the simultaneous analysis of collinear and transverse momentum dependent pion distributions and the determination of the pion's three-dimensional structure.

40 pages, 16 figures

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• Study of Monte Carlo approach to experimental uncertainty propagation with MSTW 2008 PDFs
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• Complementarity of experimental and lattice QCD data on pion parton distributions
• Tomography of pions and protons via transverse momentum dependent distributions
• Pion Valence-Quark Generalized Parton Distribution at Physical Pion Mass
• Gluon Parton Distribution of the Nucleon from 2+1+1-Flavor Lattice QCD in the Physical-Continuum Limit
• Strong Interaction Physics at the Luminosity Frontier with 22 GeV Electrons at Jefferson Lab
• On the determination of uncertainties in parton densities
• Bayesian-Wilson coefficients in lattice QCD computations of valence PDFs and GPDs
• Fixed-target charmonium production and pion parton distributions
• Global QCD Analysis of Pion Parton Distributions with Threshold Resummation
• Gluon distributions and mass decompositions of the pion and kaon
• Pion PDFs confronted by Fixed-Target Charmonium Production
• Determination of the pion generalized parton distributions at zero skewness
• Dipole-pion cross section in the saturation regime
• An analysis of parton distributions in a pion with Bézier parametrizations