New source for power-law type deviations from Bjorken scaling

It is argued from both the quark language and the free field light-cone expansion in light-cone perturbation theory that the constraint of overall 'energy' conservation yields the same new scaling variable xp, which reduces to the Weizmann variable, the Bloom-Gilman variable and the Bjorken variable at some approximations. The xp rescaling is expected to be a good scaling variable, and hence gives substantial power-law type corrections to the deviations from the Bjorken scaling. Understandings of this xp rescaling from both the free field operator product expansion (OPE) and the ordinary OPE are also given, indicating that it is likely a higher order effect in the coefficient functions; i.e., it does not belong to the higher twist effect. Therefore this xp rescaling is new effect contributing to the power-law type corrections, and hence is of substantial importance to the extraction of a reliable value of the QCD scale Λ from the data