Analytic Representation for Deep-Inelastic Electroproduction Structure Functions

Abstract

Conformal mapping and the ideas of analytic data analysis are used to obtain a new variable for the parametrization of the deep-inelastic proton scaling function, ${F}_{2}(\ensuremath{\omega})$. The resulting fits to the scaling-region data are excellent. We note that present scaling data do not uniquely constrain the threshold behavior. Extrapolations to large $\ensuremath{\omega}$ favor a decreasing ${F}_{2}$. Assuming that a simple analytic continuation to the ${e}^{+}{e}^{\ensuremath{-}}\ensuremath{\rightarrow}\overline{p}X$ channel is allowed, the fits are extrapolated to this region. The extended reciprocal relation is also discussed.