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Pion Valence Quark Distribution Large- fall-off x (1 x ) 1 1 . 6 2 Large- region: small config constrained by confinement dynamics x or From pQCD and different models : (1 x ) 2 (1 x ) 1 Experiment

  1. Pion Valence Quark Distribution Large- fall-off x (1 − x ) β β ∼ 1 β ∼ 1 . 6 β ∼ 2 Large- region: small config constrained by confinement dynamics x or From pQCD and different models : (1 − x ) 2 (1 − x ) 1 Experiment at JLab and COMPASS to explore large- behavior x Raza Sabbir Sufian

  2. Lattice QCD Calculations Quasi PDFs (Ji, 2013) Pseudo-PDFs (Radyushkin, 2017) Lattice Cross Sections (Ma & Qiu, 2014, 2017) Collaboration: Karpie, Orginos, Radyushkin, Richards, Zafeiropoulos, RSS µ 2 ∼ 16 GeV 2 arXiv:1909.08517 Lattice Cross Sections In preparation PRELIMINARY Collaboration: Edwards, Egerer, Karpie, Orginos, Ma, Qiu, Richards, RSS Phys.Rev. D99 (2019) no.7, 074507

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Same for mesons and baryons) κ ≈ 0 . 52 0 . 5 NNPDF3 . 0 u v LFHQCD (NLO) WRH2005 0 . 6 LFHQCD (NNLO) ASV2010 MMHT2014 0 . 4 Conway et al . A semiclassical approximation to QCD CT14 LFHQCD (NNLO) µ 2 = 27 GeV 2 xq ( x ) 0 . 4 0 . 3 xq ( x ) µ 2 = 10 GeV 2 d v 0 . 2 0 . 2 Relativistic, frame-independent 0 . 1 0 . 0 0 . 0 10 − 4 10 − 3 10 − 2 10 − 1 10 0 0 . 0 0 . 2 0 . 4 0 . 6 0 . 8 1 . 0 x x Color confining, massless pion m q → 0 0.6 c 2 = 0 . 875 0.5 Symmetry between observed mesons PRELIMINARY 0.4 G eff ( q ) and observed baryons 0.3 Out[226]= 0.2 Regge behavior at low x, 0.1 0.0 pQCD counting rule at large x 2.0 2.2 2.4 2.6 2.8 3.0 q ( Gev ) Phys.Rev.Lett. 120 (2018) no.18, 182001 Phys.Rev. D95 (2017) no.1, 014011 HLFHS Collaboration: Brodsky, de Teramond, Deur, Dosch, Liu, RSS Phys.Rev. D98 (2018) no.11, 114004 arXiv:1909.13818

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