Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the scaling properties of the total $\gamma^*\mathrm{p}$ cross
  section   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$^2$.

29
The categories of this paper are: funct-an
20
The categories of this paper are: acc-phys
10
The categories of this paper are: q-bio
17
The categories of this paper are: q-fin
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The categories of this paper are: alg-geom
13
The categories of this paper are: quant-ph
7
The categories of this paper are: hep-th
23
The categories of this paper are: solv-int
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
6
The categories of this paper are: astro-ph
9
The categories of this paper are: nlin
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The categories of this paper are: econ
1
The categories of this paper are: cs
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The categories of this paper are: chao-dyn
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The categories of this paper are: mtrl-th