Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-06-30
Physics
High Energy Physics
High Energy Physics - Phenomenology
13pp. and 6 figures in eps format
Scientific paper
In this paper we show that the intuitive guess that the geometric scaling behaviour should be violated in the case of the running QCD coupling, turns out to be correct. The scattering amplitude of the dipole with the size $r$ depends on new dimensional scale: $\Lambda_{QCD}$, even at large values $Y = \ln(1/x)$ and $l\,=\, \ln\Lb \as\Lb r^2\Rb/\as\Lb 1/Q^2_s\Rb\Rb$. However, in this region we found a new scaling behaviour: the amplitude is a function of $\zeta = Y\,l$. We state that only in the vicinity of the saturation scale $Q_s$ ($\as(Q^2_s)\,\ln \Lb r^2 Q^2_s\Rb\,\leq \, 1$), the amplitude shows the geometric scaling behaviour. Based on these finding the geometric scaling behavior that has been seen experimentally, stems from either we have not probed the proton at HERA and the LHC deeply inside the saturation region or that there exists the mechanism of freezing of the QCD coupling constant at $r^2 \approx 1/Q^2_s$.
Levin Eugene
Saez Bastian Diaz
No associations
LandOfFree
Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Violation of the geometric scaling behaviour of the amplitude for running QCD coupling in the saturation region will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-35392