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.
Measures of pion and kaon structure from generalised parton distributions
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abstract
Pion and kaon structural properties provide insights into the emergence of mass within the Standard Model and attendant modulations by the Higgs boson. Novel expressions of these effects, in impact parameter space and in mass and pressure profiles, are exposed via $\pi$ and $K$ generalised parton distributions, built using the overlap representation from light-front wave functions constrained by one-dimensional valence distribution functions that describe available data. Notably, e.g. $K$ pressure profiles are spatially more compact than $\pi$ profiles and both achieve near-core pressures of similar magnitude to that found in neutron stars.
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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.