Open Physics Journal
2014, 1 : 28-32Published online 2014 December 31. DOI: 10.2174/1874843001401010028
Publisher ID: PHY-1-28
RESEARCH ARTICLE
Double Logarithms Resummation in Exclusive Processes: The Surprising Behavior of DVCS
1
Departamento de Fisica de Particulas and IGFAE, Universidade de Santaigo de Compostela, E-15782 Santiago de
Compostela, Galicia, Spain
2 CPhT, École Polytechnique, CNRS, F91128 Palaiseau, France
3 National Center for Nuclear Research (NCBJ), Warsaw, Poland
4 LPT, Université Paris-Sud, CNRS, 91405, Orsay, France & UPMC Univ. Paris 06, faculté de physique, 4 place Jussieu, 75252 Paris Cedex 05, France
* Address correspondence to this author at the Departamento de Fisica de Particulas and IGFAE, Universidade de Santaigo de Compostela, E-15782 Santiago de Compostela, Galicia, Spain; Tel: + 34 881 813 984; Fax: +34 881 814 086; E-mail: tolga.altinoluk@usc.es
2 CPhT, École Polytechnique, CNRS, F91128 Palaiseau, France
3 National Center for Nuclear Research (NCBJ), Warsaw, Poland
4 LPT, Université Paris-Sud, CNRS, 91405, Orsay, France & UPMC Univ. Paris 06, faculté de physique, 4 place Jussieu, 75252 Paris Cedex 05, France
* Address correspondence to this author at the Departamento de Fisica de Particulas and IGFAE, Universidade de Santaigo de Compostela, E-15782 Santiago de Compostela, Galicia, Spain; Tel: + 34 881 813 984; Fax: +34 881 814 086; E-mail: tolga.altinoluk@usc.es
ABSTRACT
Double logarithms resummation has been much studied in inclusive as well as exclusive processes. The Sudakov mechanism has often be the crucial tool to exponentiate potentially large contributions to amplitudes or crosssections near phase-space boundaries. We report on a recent work where a very different pattern emerges : the DVCS quark coefficient function Cq (x,ξ) develops near the particular point x =ξ a non-alternate series in which may be resummed in a cosh factor. This result is at odds with the known result for the corresponding coefficient function for the pion transition form factor near the end point Cq (z) although they are much related through a Cq(Z) correspondence.