Valence quark distributions of the proton from maximum entropy approach

We present an attempt using the maximum entropy principle to determine valence quark distributions in the proton at a very low resolution scale Q₀². The initial three valence quark distributions are obtained with limited dynamical information from quark model and QCD theory. Valence quark distributions from this method are compared to the lepton deep inelastic scattering data, and the widely used CT10 and MSTW08 data sets. The obtained valence quark distributions are consistent with experimental observations and the latest global fits of parton distribution functions. The maximum entropy method is expected to be particularly useful in cases where relatively little information from QCD theory is given.