A unified BFKL and GLAP description of F 2 data
Abstract
We argue that the use of the universal unintegrated gluon distribution and the
k
T
(or high energy) factorization theorem provides the natural framework for describing observables at small x. We introduce a coupled pair of evolution equations for the unintegrated gluon distribution and the sea quark distribution which incorporate both the resummed leading
ln(1/x)
BFKL contributions and the resummed leading
ln(
Q
2
)
GLAP contributions. We solve these unified equations in the perturbative QCD domain using simple parametic forms of the nonperturbative part of the integrated distributions. With only two (physically motivated) input parameters we find that this
k
T
factorization approach gives an excellent description of the measurements of
F
2
(x,
Q
2
)
at HERA. In this way the unified evolution equations allow us to determine the gluon and sea quark distributions and, moreover, to see the x domain where the resummed
ln(1/x)
effects become significant. We use
k
T
factorization to predict the longitudinal structure function
F
L
(x,
Q
2
)
and the charm component of
F
2
(x,
Q
2
)
.