Speaker
Description
We present some mathematical results for reconstructing the generalized parton distributions (GPDs) through the universal moment parameterization (GUMP) program. We elucidate several subtle issues observed in previous literature, particularly the relationship between formal summation and the Mellin-Barnes integral. Furthermore, we derive an asymptotic condition on the conformal moments of GPDs to ensure that GPDs vanish at (|x|=1) and subsequently develop an approximate formula for GPDs when (x>\xi). Additionally, we propose a method to handle double summations arising from the non-trivial conformal indices mixing in the NLO scale evolution kernel of DVCS and DVMP. This method converts the double summations into double Mellin-Barnes integrals, which will be beneficial for further studies in the GUMP program.
