Violation of Sum Rules for Twist-3 Parton Distributions in QCD
Burkardt, M. · Koike, Y.
Original · EN
Sum rules for twist-3 distributions are reexamined. Integral relations between twist-3 and twist-2 parton distributions suggest the possibility for a δ-function at x=0. We confirm and clarify this result by constructing hₗ and hₗ³ (quark-gluon interaction dependent part of hₗ) explicitly from their moments for a one-loop dressed massive quark. The physics of these results is illustrated by calculating hₗ(x,Q²) using light-front time-ordered pQCD to O(αₛ) on a quark target. A δ(x) term is also found in e(x,Q²), but not in gₜ(x,Q²), to this order in O(αₛ).
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