Abstract
We present a new analysis to extract pion's parton distribution functions (PDFs) in the framework of the statistical model. Starting from the statistical model framework first developed for the spin-1/2 nucleon, we apply appropriate modifications taking into account the spin-0 nature of pion and the isospin and charge-conjugation symmetry properties. This results in a significant reduction of the number of parameters compared to a recent work to extract pion's PDFs. Using π−-induced Drell-Yan data to determine the parameters of this statistical model approach, we show that a good description of these experimental data with Next-to-Leading order QCD calculations can be obtained. Good agreement between the calculations and the π+/π− Drell-Yan cross section ratio data, not included in the global fit, has confirmed the predictive power of these new pion PDFs.
Highlights
We present a new analysis to extract pion’s parton distribution functions (PDFs) in the framework of the statistical model
In this paper we adopt a much simpler parametrization for the functional forms of the parton distributions by imposing some constraints based on symmetry principles
We show that the existing pion-induced Drell-Yan data E615 [15], NA10 [16] and E326 [17] can be very well described with these new pion PDFs
Summary
We present a new analysis to extract pion’s parton distribution functions (PDFs) in the framework of the statistical model. We first define the parametrizations of the pion’s quark, antiquark and gluon distributions based on the statistical model.
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