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arxiv: hep-ph/9706330 · v1 · submitted 1997-06-11 · ✦ hep-ph

Analytic Approximation to the GLAP evolution of F₂(x,Q²) in the small-x region

classification ✦ hep-ph
keywords approximationevolutionglaplambdasingularsmall-agreesanalytic
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We propose a systematic approximation scheme for solving GLAP evolution equations at small Bjorken-$x$. The approximate solutions interpolate smoothly between hard (singular as $x^{-(1+\lambda)}$, $\lambda> 0$) and soft (singular at most as $x^{-1}$) initial conditions and may be applied in a wide range of $Q^2$. The small-$x$ behavior of $F_2^p(x,Q^2)$ which is extracted from a fit to HERA data agrees with results from a global fit.

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