Speaker
Giovanni Stagnitto
(INFN e Universita Genova (IT))
Description
We revisit the basic steps necessary to obtain next-to-leading-logarithmic accurate small-x results for the DGLAP splitting functions, and their implementations within the HELL framework. We derive new analytical all-order results for the leading-logarithmic gg anomalous dimension, the qg and gg finite Green functions, and most importantly for the qg anomalous dimension, which allows us to arrive for the first time at a properly resummed qg splitting kernel. We use these results as cornerstones of a new implementation of small-x splitting-function resummation which is more solid and numerically better behaved with respect to those available thus far. All of these novelties are included in the upcoming 4.0 version of HELL.
Authors
Giovanni Stagnitto
(INFN e Universita Genova (IT))
Marco Bonvini
(INFN, Rome 1 Unit)
Stefano Frixione
(INFN)