RESEARCH ARTICLE


Double Logarithms Resummation in Exclusive Processes: The Surprising Behavior of DVCS§



T. Altinoluk1, *, B. Pire2, L. Szymanowski3, S. Wallon44
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


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© Altinoluk etal.; Licensee Bentham Open.

open-access license: This is an open access article licensed under the terms of the Creative Commons Attribution Non-Commercial License (http://creativecommons.org/licenses/by-nc/3.0/) which permits unrestricted, non-commercial use, distribution and reproduction in any medium, provided the work is properly cited.

* 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.

Keywords: Collinear gluon radiation, DVCS, quark coefficient function, resummation, semi-eikonal approximation, soft gluon radiation..