Double logarithms resummation in exclusive processes : the surprising behavior of DVCS - Archive ouverte HAL
Pré-Publication, Document De Travail Année : 2013

Double logarithms resummation in exclusive processes : the surprising behavior of DVCS

Résumé

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 cross-sections near phase-space boundaries. We report on a recent work where a very different pattern emerges : the DVCS quark coefficient function C(x,xi) develops, near the particular point x=\xi, a non-alternate series in alpha_s^n log^{2n}(x-xi) which may be resummed in a cosh[K sqrt alpha_s log(x-xi)] 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 C(z) although they are much related through a z -> x/xi correspondence.

Dates et versions

hal-00860748 , version 1 (11-09-2013)

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Citer

T. Altinoluk, B. Pire, L. Szymanowski, S. Wallon. Double logarithms resummation in exclusive processes : the surprising behavior of DVCS. 2013. ⟨hal-00860748⟩
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