Lattice QCD pseudo-distributions at m_π=358 MeV are inverted via multidimensional Gaussian process regression to reconstruct the full kinematic dependence of GPDs H^{u-d} and E^{u-d} while directly extracting double distributions.
Symmetries and structure of skewed and double distributions
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abstract
Extending the concept of parton densities onto nonforward matrix elements <p'|O(0,z)|p> of quark and gluon light-cone operators, one can use two types of nonperturbative functions: double distributions (DDs) f(x,\alpha;t), F(x,y;t) and skewed (off&nonforward) parton distributions (SPDs) H(x,\xi;t), F_\zeta(X,t). We treat DDs as primary objects producing SPDs after integration. We emphasize the role of DDs in understanding interplay between X (x) and \zeta (\xi) dependences of SPDs.In particular, the use of DDs is crucial to secure the polynomiality condition: Nth moments of SPDs are Nth degree polynomials in the relevant skewedness parameter \zeta or \xi. We propose simple ansaetze for DDs having correct spectral and symmetry properties and derive model expressions for SPDs satisfying all known constraints. Finally, we argue that for small skewedness, one can obtain SPDs from the usual parton densities by averaging the latter with an appropriate weight over the region [X-\zeta,X] (or [x - \xi, x + \xi]).
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Reconstructing the full kinematic dependence of GPDs from pseudo-distributions
Lattice QCD pseudo-distributions at m_π=358 MeV are inverted via multidimensional Gaussian process regression to reconstruct the full kinematic dependence of GPDs H^{u-d} and E^{u-d} while directly extracting double distributions.
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Exclusive photoproduction of a di-meson pair with large invariant mass
Calculations of di-meson photoproduction amplitudes at leading order show cross sections up to 100 times larger than single-meson cases, enabling better GPD extraction.
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