TY - JOUR AU - Cui, Z. F. AU - Ding, M. AU - Morgado, J. M. AU - Raya, K. AU - Binosi, D. AU - Chang, L. AU - Papavassiliou, J. AU - Roberts, C. D. AU - Rodriguez-Quintero, J. AU - Schmidt, S. M. PY - 2022 DA - 2022// TI - Concerning pion parton distributions T2 - Eur. Phys. J. A JO - European Physical Journal A SP - 10 EP - 14pp VL - 58 IS - 1 PB - Springer AB - Analyses of the pion valence-quark distribution function (DF), u(pi) (x; sigma), which explicitly incorporate the behaviour of the pion wave function prescribed by quantum chromodynamics (QCD), predict u(pi) (x similar or equal to 1; sigma) similar to (1 – x)(beta(sigma)), beta(sigma greater than or similar to m(p)) > 2, where mp is the proton mass. Nevertheless, more than forty years after the first experiment to collect data suitable for extracting the x similar or equal to 1 behaviour of up, the empirical status remains uncertain because some methods used to fit existing data return a result for up that violates this constraint. Such disagreement entails one of the following conclusions: the analysis concerned is incomplete; not all data being considered are a true expression of qualities intrinsic to the pion; or QCD, as it is currently understood, is not the theory of strong interactions. New, precise data are necessary before a final conclusion is possible. In developing these positions, we exploit a single proposition, viz. there is an effective charge which defines an evolution scheme for parton DFs that is all-orders exact. This proposition has numerous corollaries, which can be used to test the character of any DF, whether fitted or calculated. SN - 1434-6001 UR - https://arxiv.org/abs/2112.09210 UR - https://doi.org/10.1140/epja/s10050-021-00658-7 DO - 10.1140/epja/s10050-021-00658-7 LA - English N1 - WOS:000746605900001 ID - Cui_etal2022 ER -