Low and moderate $x$ gluon contribution to exclusive Compton scattering processes

Author:

Renaud Boussarie, Yacine Mehtar-Tani

Keyword:

High Energy Physics - Phenomenology, High Energy Physics - Phenomenology (hep-ph), Nuclear Theory (nucl-th)

journal:

--

date:

2023-09-27 16:00:00

Abstract

We revisit the high energy semi-classical description of the exclusive processes DVCS, TCS, and Double DVCS by explicitly keeping track of the Feynman $x$ dependence in both the hard and the hadronic matrix elements. This is achieved by a modification of the standard shock wave approximation to derive the effective Feynman rules, which leads to a generic expression on which we then perform a partial twist expansion to get rid of quantities suppressed by the proper physical scales. We obtain a compact factorized master formula that can be used to investigate the Bjorken limit at leading twist. In particular, we recover the full one-loop result in the collinear limit for pure gluon exchange with the target. Finally, we discuss the subtleties in taking the simultaneous collinear and small $x$ limit.