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Title: Resumming double logarithms in the QCD evolution of color dipoles

The higher-order perturbative corrections, beyond leading logarithmic accuracy, to the BFKL evolution in QCD at high energy are well known to suffer from a severe lack-of-convergence problem, due to radiative corrections enhanced by double collinear logarithms. Via an explicit calculation of Feynman graphs in light cone (time-ordered) perturbation theory, we show that the corrections enhanced by double logarithms (either energy-collinear, or double collinear) are associated with soft gluon emissions which are strictly ordered in lifetime. These corrections can be resummed to all orders by solving an evolution equation which is non-local in rapidity. This equation can be equivalently rewritten in local form, but with modified kernel and initial conditions, which resum double collinear logs to all orders. We extend this resummation to the next-to-leading order BFKL and BK equations. The first numerical studies of the collinearly-improved BK equation demonstrate the essential role of the resummation in both stabilizing and slowing down the evolution.
 [1] ;  [1] ;  [2] ;  [1] ;  [3]
  1. Institut de Physique Theorique, Gif-sur-Yvette (France)
  2. Columbia Univ., New York, NY (United States)
  3. Bruno Kessler, Villazzano (Italy)
Publication Date:
Grant/Contract Number:
Published Article
Journal Name:
Physics Letters. Section B
Additional Journal Information:
Journal Volume: 744; Journal Issue: C; Journal ID: ISSN 0370-2693
Research Org:
Columbia Univ., New York, NY (United States)
Sponsoring Org:
USDOE Office of Science (SC)
Contributing Orgs:
European Research Council; Agence Nationale de la Recherche
Country of Publication:
United States
71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; QCD; renormalization group; color glass condensate; hadronic collisions
OSTI Identifier:
Alternate Identifier(s):
OSTI ID: 1185120