Kaon and pion parton distributions
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Regular Article - Theoretical Physics
Kaon and pion parton distributions Z.-F. Cui1,2,a , M. Ding3,b , F. Gao4,c , K. Raya5,d , D. Binosi3,e , L. Chang5,f , C. D. Roberts1,2,g , J. Rodríguez-Quintero6,h , S. M. Schmidt7,8,i 1
School of Physics, Nanjing University, Nanjing 210093, Jiangsu, China Institute for Nonperturbative Physics, Nanjing University, Nanjing 210093, Jiangsu, China 3 European Centre for Theoretical Studies in Nuclear Physics and Related Areas (ECT*) and Fondazione Bruno Kessler, Villa Tambosi, Strada delle Tabarelle 286, 38123 Villazzano, TN, Italy 4 Institut für Theoretische Physik, Universität Heidelberg, Philosophenweg 16, 69120 Heidelberg, Germany 5 School of Physics, Nankai University, Tianjin 300071, China 6 Department of Integrated Sciences and Center for Advanced Studies in Physics, Mathematics and Computation, University of Huelva, 21071 Huelva, Spain 7 Helmholtz-Zentrum Dresden-Rossendorf, 01314 Dresden, Germany 8 RWTH Aachen University, III. Physikalisches Institut B, 52074 Aachen, Germany
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Received: 1 July 2020 / Accepted: 20 October 2020 © The Author(s) 2020
Abstract Beginning with results for the leading-twist twoparticle distribution amplitudes of π - and K -mesons, each of which exhibits dilation driven by the mechanism responsible for the emergence of hadronic mass, we develop parameterfree predictions for the pointwise behaviour of all π and K distribution functions (DFs), including glue and sea. The large-x behaviour of each DF meets expectations based on quantum chromodynamics; the valence-quark distributions match extractions from available data, including the pion case when threshold resummation effects are included; and at ζ5 = 5.2 GeV, the scale of existing measurements, the light-front momentum of these hadrons is shared as follows: xvalence π = 0.41(4), xglue π = 0.45(2), xsea π = 0.14(2); and xvalence K = 0.42(3), xglue K = 0.44(2), xsea K = 0.14(2). The kaon’s glue and sea distributions are similar to those in the pion, although the inclusion of mass-dependent splitting functions introduces some differences on the valence-quark domain. This study should stimulate improved analyses of existing data and motivate new experiments sensitive to all π and K DFs. With little known empirically about the structure of the Standard Model’s a e-mail:
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(pseudo-) Nambu-Goldstone modes and analyses of existing, limited data being controversial, it is likely that new generation experiments at upgraded and anticipated facilities will provide the information needed to resolve the puzzles and complete the picture of these complex bound states.
1 Introduction The past decade saw discovery of the Higgs boson [1,2], thereby completing the
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