Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2005-06-04
Rev.Mex.Fis. 52 (2006) 438-443
Physics
High Energy Physics
High Energy Physics - Phenomenology
Major rewriting of the text. Results unchanged, conclusions expanded
Scientific paper
We perform a detailed analysis on the scaling properties of the total $\gamma^*\mathrm{p}$ cross section, $\sigma_{\gamma^*\mathrm{p}}$. We write the cross section as a product of two functions $W$ and $V$ representing, respectively, the dynamical degrees of freedom and the contribution from the valence partons. Analyzing data from HERA and fixed target experiments we find that $V$ is nearly independent of $Q^2$ and concentrated at large $x$, while $W$ carries all the information on the $Q^2$ evolution of $\gamma^*\mathrm{p}$. We define the reduced cross section $\tilde{\sigma}_{\gamma^*\mathrm{p}} \equiv W=\sigma_{\gamma^*\mathrm{p}}/V$, and show that it is very close to a generalized homogeneous function. This property gives rise to geometric scaling not only for small $x$, but for all the current measured kinematic plane. As a consequence of our {\em Ansatz} we also obtain a compact parameterization of $\sigma_{\gamma^*\mathrm{p}}$ describing all data above $Q^2=1$ GeV$^2$.
Contreras Jesus Guillermo
Mondragon Miguel N.
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