Resummation of Double Logarithms in the Rapidity Evolution of Color Dipoles

29 Apr 2015, 16:15
25m
BALLROOM WEST ()

BALLROOM WEST

WG2 Small-x, Diffraction and Vector Mesons WG2 Small-x, Diffraction and Vector Mesons

Speaker

Madrigal Martínez José Daniel (IPhT CEA Saclay)

Description

Starting at NLO, the BFKL-BK evolution in high-energy QCD develops severe convergence problems. The most important source for this behavior can be traced down to large double collinear logarithms. We show via explicit computation of Feynman diagrams that corrections enhanced by double logs correspond to soft gluon emissions strongly ordered in lifetime, while other potential contributions cancel among themselves. We manage to incorporate these corrections in a local-in-rapidity BK evolution equation, with modified kernel and initial conditions. Numerical studies of the improved BK equation demonstrate the essential role of the resummation in both stabilizing and slowing down the evolution.

Primary author

Co-authors

Prof. Alfred Mueller (Columbia University) DIONYSIS TRIANTAFYLLOPOULOS (ECT*) Edmond Iancu (CEA/IRFU,Centre d'etude de Saclay Gif-sur-Yvette (FR)) Gregory Soyez (CEA Saclay)

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