Emergence of pion parton distributions

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Abstract

Supposing only that there is an effective charge which defines an evolution scheme for parton distribution functions (DFs) that is all-orders exact, strict lower and upper bounds on all Mellin moments of the valence-quark DFs of pionlike systems are derived. Exploiting contemporary results from numerical simulations of lattice-regularized quantum chromodynamics (QCD) that are consistent with these bounds, parameter-free predictions for pion valence, glue, and sea DFs are obtained. The form of the valence-quark DF at large values of the light-front momentum fraction is consistent with predictions derived using the QCD-prescribed behavior of the pion wave function

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Cui, Z.-F., Ding, M., Morgado, J. M., Raya, K., Binosi, D., Chang, L., De Soto, F., Roberts, C. D., Rodríguez-Quintero, J., & Schmidt, S. M. (2022). Emergence of pion parton distributions. In Physical Review D (Vol. 105, Issue 9). American Physical Society (APS). https://doi.org/10.1103/physrevd.105.l091502

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