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Generalised parton distributions of the pion in partially-quenched chiral perturbation theory
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We consider the pion matrix elements of the isoscalar and isovector combinations of the vector and tensor twist-two operators that determine the moments of the various pion generalised parton distributions. Our analysis is performed using partially-quenched chiral perturbation theory. We work in the SU(2) and SU(4|2) theories and present our results at infinite volume and also at finite volume where some subtleties arise. These results are useful for extrapolations of lattice calculations of these matrix elements at small momentum transfer to the physical regime.
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Off-shell modifications of the pion generalized parton distributions and transverse momentum dependent parton distributions
In the NJL model, off-shell pion GPDs and TMDs differ from on-shell ones by 15 to 25 percent and acquire new odd-power form factors from broken crossing symmetry.
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