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High energy factorization predictions for the charm structure function F2^c at HERA
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High energy factorization predictions for the
charm structure function F c2 at HERA
S. Munier and R. Peschanski
CEA, Service de Physique The?orique, CE-Saclay
F-91191 Gif-sur-Yvette Cedex, France
February 1, 2008
Abstract
High energy factorization predictions for F c2 are derived using BFKL
descriptions of the proton structure function F2 at HERA. The model
parameters are fixed by a fit of F2 at small x. Two different approaches
of the non perturbative proton input are shown to correspond to the
factorization at the gluon or quark level, respectively. The predic-
tions for F c2 are in agreement with the data within the present error
bars. However, the photon wave-function formulation (factorization
at quark level) predicts significantly higher F c2 than both gluon fac-
torization and a next-leading order DGLAP model.
1
1 Motivation
High energy factorization [1, 2] is a QCD factorization scheme suited for high-
energy hard processes - and in particular for deep-inelastic e??p scattering
in the small x-regime (x ? Q
2
W 2
) (W 2 is the energy squared in the virtual
photon-proton center of mass frame). This scheme takes into account the
resummation of the
(
αs log
1
x
)n
terms in the QCD perturbative expansion
of the structure functions. It amounts to proving the factorization of the
perturbative amplitude in terms of a gluon-gluon BFKL kernel [3] convoluted
with a first order (virtual)photon-(virtual)gluon cross section. A graphical
illustration of this property is given in figure 1. The main difference between
this scheme and the renormalization group factorization [4] which is valid at
finite x is that the former involves a bidimensional integration in transverse
momentum k⊥, whereas the latter is a convolution in energy. Interestingly
enough, high energy factorization can be applied to the resummation of the(
αs log
W 2
M2
)n
terms in heavy quark pair photoproduction, and the combined
resummation for
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