The asymptotic behaviour of $F_L$ in the double scaling limit

Abstract

In the kinematic region of small $x$ and large $Q^2$ in deep inelastic scattering, presently being explored by HERA, we present an analysis of the evolution of the longitudinal structure function $F_L^p(x,Q^2)$ in the double scaling limit of Ball and Forte. We fit the evolution to a $1/x^{\lambda }$ behaviour and extract the value of $\lambda$. We also study the behaviour of $R=F_2/2x{F}_1-1$. We present comparisons of both $F_L$ and $R$ with the corresponding MRS fits in this region of $x$ and $Q^2$.

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