On the scaling properties of the total $γ^*\mathrm{p}$ cross section
| dc.creator | Mondragon, Miguel N. | |
| dc.creator | Contreras, J. G. | |
| dc.date | 2005-06-04 | |
| dc.date | 2006-02-03 | |
| dc.date.accessioned | 2026-07-07T06:38:22Z | |
| dc.date.available | 2026-07-07T06:38:22Z | |
| dc.description | We perform a detailed analysis on the scaling properties of the total $γ^*\mathrm{p}$ cross section, $σ_{γ^*\mathrm{p}}$. 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 $γ^*\mathrm{p}$. We define the reduced cross section $\tildeσ_{γ^*\mathrm{p}} \equiv W=σ_{γ^*\mathrm{p}}/V$, 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 $σ_{γ^*\mathrm{p}}$ describing all data above $Q^2=1$ GeV$^2$. | |
| dc.description | Major rewriting of the text. Results unchanged, conclusions expanded | |
| dc.identifier | https://arxiv.org/abs/hep-ph/0506038 | |
| dc.identifier | http://arxiv.org/abs/hep-ph/0506038 | |
| dc.identifier | Rev.Mex.Fis. 52 (2006) 438-443 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/100712 | |
| dc.subject | High Energy Physics - Phenomenology | |
| dc.title | On the scaling properties of the total $γ^*\mathrm{p}$ cross section | |
| dc.type | text |