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arxiv: 1812.01511 · v2 · submitted 2018-12-04 · ✦ hep-ph · nucl-th

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Polynomiality sum rules for generalized parton distributions of spin-1 targets

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classification ✦ hep-ph nucl-th
keywords generalizedrulesspin-1targetsdistributionsfactorsformgpds
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We present the polynomiality sum rules for all leading-twist quark and gluon generalized parton distributions (GPDs) of spin-1 targets such as the deuteron nucleus. The sum rules connect the Mellin moments of these GPDs to polynomials in skewness parameter $\xi$, which contain generalized form factors (GFFs) as their coefficients. The decompositions of local currents in terms of generalized form factors for spin-1 targets are obtained as a byproduct of this derivation.

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