Parton Interpretation and Twist-4 Parton Distributions

Abstract

Through explicit examples we show that twist-4 parton distributions have no parton interpretation in the sense that parton or partons inside a hadron can carry the momentum fraction x of the hadron with x >1 or x<-1. The studied twist-4 parton distributions of collinear factoization are power-divergent for x >1. The corresponding transverse momentum dependent parton distributions have also no parton interpretation. They are finite. The implications of our results are discussed.

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