Numerical analysis of the unintegrated double gluon distribution

Understand

We present detailed numerical analysis of the unintegrated double gluon distribution which includes the dependence on the transverse momenta of partons.

• The unintegrated double gluon distribution was obtained following the Kimber-Martin-Ryskin method as a convolution of the perturbative gluon splitting function with the collinear integrated double gluon distribution and the Sudakov form factors.
• We analyze the dependence on the transverse momenta, longitudinal momentum fractions and hard scales.
• We find that the unintegrated gluon distribution factorizes into a product of two single unintegrated gluon distributions in the region of small values of $x$, provided the splitting contribution is included and the momentum sum rule is satisfied.