By using the next-to-leading order analyses of the precision lepton-hadron deep inelastic measurements at CERN and SLAC, we extract model independent constraints on the nucleon matrix elements of the twist-4 operators. We also study a parameterization of these matrix elements and point out the possibility that the matrix elements of the quark-gluon mixed operator has a negative value - (400 ± 100) MeV2 at 5 GeV2 renormalization scale. The uncertainty of our result due to the next-next-to-leading order correction is also discussed.
Bibliographical noteFunding Information:
S.H.L and T.H. were supported by U.S. Department of Energy under grant DE-FG06-88ER40427. C.S. and S.H.L were partly supported by Yonsei University Faculty Research grant. Y.K. was supported
by the US National Science Foundation under grant PHY-9017077. One of the authors (Y.K.) thanks W.K. Tung for useful discussions.
All Science Journal Classification (ASJC) codes
- Nuclear and High Energy Physics