Optimized Extraction of Generalized Parton Distributions from Deeply Virtual Compton Scattering*

Generalized Parton Distributions (GPDs) are a powerful tool that allows greater insight into the internal structure of the nucleon. GPDs define the matrix elements for the deeply virtual Compton scattering (DVCS) process [1]. I will first present a spectator model calculation for the quark, anti-quark and gluon chiral even GPDs $H,E, \widetilde{H},\widetilde{E}$  in terms of the kinematic variables X, ζ, and t [2]. The model implements the polynomiality and positivity constraints, and it is evolved in perturbative QCD up to next to leading order. I will then illustrate the implementation of computer tensor algebra methods to construct algorithms to optimize the analysis for DVCS, Bethe Heitler, and interference cross-section terms for various beam and target polarizations in the formalism of Ref.[3].

[1] X. D. Ji, Phys, Rev. D 55 (1997)

[2] B. Kriesten, P. Velie, E. Yeats, F. Y. Lopez and S. Liuti,[arXiv:2101.01826[hep-ph]], to be published in Phys. Rev. D.

[3] B. Kriesten, S. Liuti, L. Calero-Diaz, D. Keller, A. Meyer, G. R. Goldsteinand J. Osvaldo Gonzalez-Hernandez, Phys. Rev. D101, (2020)