Vector -axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model
Metadatos
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Elsevier
Materia
Valence parton distribution function of the pion Nambu–Jona-Lasinio model Good lattice QCD cross sections Chiral symmetry
Fecha
2020-09-22Referencia bibliográfica
Broniowski, W., & Arriola, E. R. (2020). Vector-axial vector lattice cross section and valence parton distribution in the pion from a chiral quark model. arXiv preprint arXiv:2006.03832. [https://doi.org/10.1016/j.physletb.2020.135803]
Patrocinador
Polish National Science Centre (NCN) 2018/31/B/ST2/01022; Spanish Ministerio de Economía y Competitividad; European Union (EU) FIS2017-85053-C2-1-P; Junta de Andalucía FQM-225Resumen
Within a chiral quark model, we evaluate the good cross section in the Euclidean space in the vector -axial vector channel, proposed recently by Ma and Qiu as means to extract the so far elusive parton distribution functions of the pion from lattice QCD. Our results are remarkably simple at the quark model scale and agree well, after the necessary QCD evolution, with the most recent lattice calculations at the scale μ ∼2GeV for various values of the lattice pion mass. Comparisons are made as functions of the Ioffe time variable. We also comment on the information on the lowest moments in the momentum fraction x, generically extractable from such analyses, as well as on the inaccessibility of the x →1limit from the present data.