115 research outputs found
The ratio of the beauty structure functions at low x
We study the structure functions () and the
reduced cross section for small values of
Bjorkens variable with respect to the hard (Lipatov) pomeron for the
gluon distribution and provide a compact formula for the ratio that is
useful to extract the beauty structure function from the beauty reduced cross
section, in particular at DESY HERA. Also we show that the effects of the
nonlinear corrections to the gluon distribution tame the behavior of the beauty
structure function and the beauty reduced cross section at low .Comment: 12 pages, 5 figurs, 1 table. arXiv admin note: text overlap with
arXiv:hep-ph/0603017 by other author
Geometrical scaling behavior of the top structure functions ratio at the LHeC
We consider the ratio of the top structure functions in top
pair production as a probe of the top content of the proton at the LHeC
project. We study the top structure functions with the geometrical scaling of
gluon distribution at small and show that top reduced cross section
exhibits geometrical scaling in a large range of photon vitualities. This
analysis shows that top longitudinal structure function has sizeable impact on
the top reduced cross section at .Comment: 6 pages, 1 table, 5 figure
Dynamical behavior connection of the gluon distribution and the proton structure function at small
We make a critical study of the relationship between the singlet structure
function and the gluon distribution proposed in the
past two decades, which is frequently used to extract the gluon distribution
from the proton structure function. We show that a simple relation is not
generally valid in the simplest state. We complete this relation by using a
Laplace transform method and hard-pomeron behavior at LO and NLO at small .
Our study shows that this relation is dependent on the splitting functions and
initial conditions at and running coupling constant at NLO.
The resulting analytic expression allows us to predict the proton structure
function with respect to the gluon distributions and to compare the results
with H1 data and a QCD analysis fit. Comparisons with other results are made
and predictions for the proposed best approach are also provided.Comment: 8 pages,5 figure
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