Double distributions and pseudodistributions
A. V. Radyushkin (Old Dominion University, Norfolk, Virginia 23529, USA and Thomas Jefferson National Accelerator Facility, Newport News, Virginia 23606, USA)
We describe the approach to lattice extraction of generalized parton distributions (GPDs) that is based on the use of the double distribution (DD) formalism within the pseudodistribution framework. The advantage of using DDs is that GPDs obtained in this way have the mandatory polynomiality property, a nontrivial correlation between and dependences of GPDs. Another advantage of using DDs is that the -term appears as an independent entity in the DD formalism rather than a part of GPDs and . We relate the dependence of GPDs to the width of the profiles of the corresponding DDs and discuss strategies for fitting lattice-extracted pseudodistributions by DDs. The approach described in the present paper may be used in ongoing and future lattice extractions of GPDs.