Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-08-08
Physics
High Energy Physics
High Energy Physics - Phenomenology
9 pages, 1 figure
Scientific paper
Color quadrupoles have been found to be important in the proper description of observables sensitive to the small-x regime in nuclei as well as in the operator definition of the Weizs\"acker-Williams gluon distribution. In this paper, we derive the small-x evolution equation of the quadrupole and the Weizs\"acker-Williams gluon distribution without taking large N_c limit and study the properties of the equation in both dilute and saturation regime. We find that the quadrupole evolution follows the BFKL evolution in the dilute regime and then saturates in the dense region due to nonlinear terms. This leads us to conclude that the Weizs\"acker-Williams gluon distribution should obey the same geometrical behavior as the dipole gluon distribution as found in the inclusive DIS measurement.
Dominguez Fabio
Mueller Alfred H.
Munier Stéphane
Xiao Bo-Wen
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