Parton distribution function in a pion with Minkowskian dynamics

Soft-gluon resummation and the valence parton distribution function of the pion.

We determine the valence parton distribution function of the pion by performing a new analysis of data for the Drell-Yan process π- N → μ+ μ- X. Compared to previous analyses, we include next-to-leading-logarithmic threshold resummation effects in the calculation of the Drell-Yan cross section. As a result of these, we find a considerably softer valence distribution at high momentum fractions x...

Physically Motivated Approximation to a Parton Distribution Function in QCD

It has been suggested that parton distributions in coordinate space, so called Ioffe-time distributions, provide a more natural object for non-perturbative methods compared to the usual momentum distributions. In this paper we argue that the shape of experimentally determined Ioffe-time distributions of quarks in a nucleon target clearly indicates separation of longitudinal scales, which is not...

Parton distributions in the proton and pion

We use detailed balance for a hadron composed of quark and gluon Fock states to obtain parton distributions in the proton and pion on the basis of a simple statistical model.

Parton distribution function with nonperturbative renormalization from lattice QCD

Generalized parton distributions of the pion

Generalized Parton Distributions of the pion are evaluated in chiral quark models with the help of double distributions. As a result the polynomiality conditions are automatically satisfied. In addition, positivity constraints, proper normalization and support, sum rules, and soft pion theorems are fulfilled. We obtain explicit expressions holding at the low-energy quark-model scale, which exhi...