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Flexible Parametrization of Generalized Parton Distributions: The Chiral-Odd Sector

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arxiv 1311.0483 v3 pith:XU32PEWJ submitted 2013-11-03 hep-ph

classification hep-ph
keywords chiral-oddchiraldistributionsgeneralizedsectorchiral-evenconnectiondata
verification ladder T0 review T1 audit T2 compute T3 formal
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We present a physically motivated parameterization of the chiral-odd generalized parton distributions. The parametrization is an extension of our previous one in the chiral-even sector which was based on the reggeized diquark model. While for chiral even generalized distributions a quantitative fit with uncertainty estimation can be performed using deep inelastic scattering data, nucleon electromagnetic, axial and pseudoscalar form factors measurements, and all available deeply virtual Compton scattering data, the chiral-odd sector is far less constrained. While awaiting the analysis of measurements on pseudoscalar mesons exclusive electroproduction which are key for the extraction of chiral odd GPDs, we worked out a connection between the chiral-even and chiral-odd reduced helicity amplitudes using Parity transformations. The connection works for a class of models including two-components models. This relation allows us to estimate the size of the various chiral odd contributions and it opens the way for future quantitative fits.

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    The standard operator definition of fragmentation functions is shown to follow from collinear factorization for small-mass n-hadron final states, contrary to a recently proposed modified definition.

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