2005/11/30 by Jiunn-Wei Chen, Hung-Ming Tsai, Ke-Chuan Weng
Mathematics · Physics and Astronomy · #Chiral symmetry #Distribution (mathematics) #Distribution function #Geometry #High-Energy Particle Collisions Research #Lattice QCD #Light cone #Mathematical analysis #Mathematical physics #Mathematics #Particle physics #Particle physics theoretical and experimental studies #Parton #Physics #Pion #Quantum Chromodynamics and Particle Interactions #Quantum chromodynamics #Quantum mechanics #Quark #Quark model #Sigma #Twist #hep-ph
paper · pdf · doi:10.1103/physrevd.73.054010
published as Phys.Rev.D73:054010,2006 · 18 pages, 1 figure
arxiv created 2006/03/15 · openalex publication_date 2006/03/17 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Using chiral symmetry we investigate the leading SU(3) violation in the complete set of quark twist-3 light-cone distribution functions of the pion, kaon, and eta, including the two-parton distributions \ensuremathφMp, \ensuremathφM^\ensuremathσ, and the three-parton distribution \ensuremathφM3. It is shown that terms nonanalytic in the quark masses do not affect the shape, and only appear in the normalization constants. Predictive power is retained including the leading analytic mq operators. With the symmetry violating corrections we derive useful model-independent relations between \ensuremathφ_\ensuremathπ^p,\ensuremathσ,3, \ensuremathφ_\ensuremathη^p,\ensuremathσ,3, \ensuremathφ_K+,K0^p,\ensuremathσ,3, and \ensuremathφ_K0,K^\ensuremath-^p,\ensuremathσ,3. We also comment on the calculations of the moments of these distributions using lattice QCD and light-cone sum rules.