Modeling Q² Dependent Parameters for Deep Inelastic Scattering Structure Functions

I present a phenomenological approach to analyzing the Q² scale evolution of valence quark momentum distributions and of the F₂ structure function measured in deep inelastic electron-proton scattering. As an initial step, I can accurately fit both types of functions at fixed Q² using a five-parameter, simple polynomial parametrization. Subsequently, I model the Q² dependence of each parameter of the above polynomial parametrization as a Laurent Series in t = log(Q²), aligning well with the behavior of analytical solutions of the DGLAP evolution equations. I also test to what extent the relatively flexible parametrization I use can effectively incorporate higher twist corrections. These modify the expected logarithmic behavior at small values of Q², and are of interest for current experimental activities at Jefferson Lab.