|Title: ||The Running coupling BFKL anomalous dimensions and splitting functions.|
|Authors: ||Thorne, Robert S|
|Issue Date: ||Mar-2001|
|Publisher: ||HEP, Cavendish Laboratory, University of Cambridge|
|Series/Report no.: ||Cavendish-HEP-01-03|
|Abstract: ||I explicitly calculate the anomalous dimensions and splitting functions governing the Q2 evolution
of the parton densities and structure functions which result from the running coupling BFKL
equation at LO, i.e. I perform a resummation in powers of ln(1/x) and in powers of β0 simultaneously.
This is extended as far as possible to NLO. These are expressed in an exact, perturbatively
calculable analytic form, up to small power-suppressed contributions which may also be modelled
to very good accuracy by analytic expressions. Infrared renormalons, while in principle present in
a solution in terms of powers in αs(Q2), are ultimately avoided. The few higher twist contributions
which are directly calculable are extremely small. The splitting functions are very different
from those obtained from the fixed coupling equation, with weaker power-like growth ∼ x−0.25,
which does not set in until extremely small x indeed. The NLO BFKL corrections to the splitting
functions are moderate, both for the form of the asymptotic power-like behaviour and more importantly
for the range of x relevant for collider physics. Hence, a stable perturbative expansion and
predictive power at small x are obtained.
|Appears in Collections:||Scholarly works - High Energy Physics|
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