Resumming soft and collinear contributions in deeply virtual Compton scattering - Archive ouverte HAL
Article Dans Une Revue Journal of High Energy Physics Année : 2012

Resumming soft and collinear contributions in deeply virtual Compton scattering

Résumé

We calculate the quark coefficient function Tq(x,xi) that enters the factorized amplitude for deeply virtual Compton scattering (DVCS) at all order in a soft and collinear gluon approximation, focusing on the leading double logarithmic behavior in x +/- xi, where x +/- xi is the light cone momentum fraction of the incoming/outgoing quarks. We show that the dominant part of the known one loop result can be understood in an axial gauge as the result of a semi-eikonal approximation to the box diagram. We then derive an all order result for the leading contribution of the ladder diagrams and deduce a resummation formula valid in the vicinity of the boundaries of the regions defining the energy flows of the incoming/outcoming quarks, i.e. x = +/- xi. The resummed series results in a simple closed expression.

Dates et versions

hal-00719501 , version 1 (20-07-2012)

Identifiants

Citer

T. Altinoluk, B. Pire, L. Szymanowski, S. Wallon. Resumming soft and collinear contributions in deeply virtual Compton scattering. Journal of High Energy Physics, 2012, 1210, pp.049. ⟨10.1007/JHEP10(2012)049⟩. ⟨hal-00719501⟩

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