Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-11-02
Physics
High Energy Physics
High Energy Physics - Phenomenology
6 pages, 2 figures, Talk at the "Low-x" meeting, 2-7 June 2011 Santiago de Compostela
Scientific paper
Currently available estimates of the gluon-fusion effect in ultra-high energy neutrino-nucleon interactions as well as in DIS on protons suffer from uncertainty in defining the scattering profile function $\Gamma(b)$. Indeed, the area, $S$, in the impact parameter space populated with interacting gluons varies by a factor of $4 - 5$ from one analysis to another. To get rid of uncertainties we specify the dipole-nucleon partial-wave amplitude $\Gamma(b)$ which meets the restrictions imposed by both the total dipole-nucleon cross section and the small angle elastic scattering amplitude. The area $S$ becomes a well defined quantity proportional to the diffraction cone slope. We solve numerically the non-linear color dipole BFKL equation and evaluate the UHE neutrino-nucleon total cross section. Our finding is that the saturation is a rather weak effect, $\lsim 25%$, up to $E_{\nu}\sim 10^{12}$ GeV.
Fiore Roberto
Zoller Vladimir R.
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