GPD deconvolution from extracted CFFs

Solve the deconvolution problem that converts experimentally extracted Compton form factors into generalized parton distributions, thereby enabling a full three-dimensional tomographic extraction.

Background

The analysis treats CFF extraction as an intermediate step because CFFs can be determined from experimental data more directly than the underlying GPDs. Recovering GPDs requires inverting the convolution with perturbative coefficient functions, an infinite-dimensional problem complicated by shadow GPDs and functional ambiguities. The paper explicitly leaves this deconvolution unresolved and identifies it as the next step toward a genuine three-dimensional determination of nucleon structure.

References

Although solving the deconvolution problem to obtain a meaningful GPD extraction from these amplitudes is left for future work, extracting CFFs first allows the preparatory work for determining GPDs to be performed without rerunning computationally expensive fits to the experimental data.

— Extraction of DVCS amplitudes off the nucleon  (2608.20244 - Mezrag et al., 20 Aug 2026) in Section 1, Introduction