Violation of sum rules for twist-3 parton distributions in QCD

DOI10.1016/S0550-3213(02)00263-8zbMATH Open0995.81521arXivhep-ph/0111343OpenAlexW3102395212MaRDI QIDQ1597920

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Publication date: 3 June 2002

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Abstract: Sum rules for twist-3 distributions are reexamined. Integral relations between twist-3 and twist-2 parton distributions suggest the possibility for a $delta$-function at $x=0$. We confirm and clarify this result by constructing $h_L$ and $h_L^3$ (quark-gluon interaction dependent part of $h_L$) explicitly from their moments for a one-loop dressed massive quark. The physics of these results is illustrated by calculating $h_L(x,Q^2)$ using light-front time-ordered pQCD to $calO(alph{a}_S)$ on a quark target. A $delta(x)$ term is also found in $e(x,Q^2)$, but not in $g_T(x,Q^2)$, to this order in $calO(alph{a}_S)$.

Full work available at URL: https://arxiv.org/abs/hep-ph/0111343

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