Can I read The Running Coupling BFKL Anomalous Dimensions and Splitting Functions on EtoBox?

The Running Coupling BFKL Anomalous Dimensions and Splitting Functions by Thorne, R. S. is a scholarly article available to read on EtoBox.

What is The Running Coupling BFKL Anomalous Dimensions and Splitting Functions about?

I explicitly calculate the anomalous dimensions and splitting functions governing the Q^2 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 beta_0 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 alpha_s(Q^2), 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

Author

Thorne, R. S.

Published

2001

Language

EN