Finite-element discretization turns GPD Q2 evolution into differentiable matrix multiplications; the new tiktaalik code reproduces PARTONS/APFEL++ at about 1% for LO evolution over most of x.
Generalized Parton Distributions
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abstract
Applications of perturbative QCD to deeply virtual Compton scattering and hard exclusive electroproduction processes require a generalization of the usual parton distributions for the case when long-distance information is accumulated in nondiagonal matrix elements of quark and gluon light-cone operators. I describe two types of nonperturbative functions parametrizing such matrix elements: double distributions and skewed parton distributions. I discuss their general properties, relation to the usual parton densities and form factors, evolution equations for both types of generalized parton distributions (GPD), models for GPDs and their applications in virtual and real Compton scattering.
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Kernel methods for evolution of generalized parton distributions
Finite-element discretization turns GPD Q2 evolution into differentiable matrix multiplications; the new tiktaalik code reproduces PARTONS/APFEL++ at about 1% for LO evolution over most of x.