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Paper   IPM / Physic / 7613
  Title:   Renormalization and Factorization Scales and Scheme Dependence for Some QCD Observables
1.  A. Mirjalili
2.  Ali N. Khorramian
3.  S. Atashbar Tehrani
  Status:   Published
  Journal: AIP CONF PROC
  Vol.:  717
  Year:  2004
  Pages:   902-906
  Supported by:  IPM
The "Complete RG-improvement (CORGI)" serves to separate the perturbation series into infinite subsets of terms which when summed are renormalization scheme(RS)- Invariant. Crucially all ultraviolet logarithms involving the dimensionful parameter, Q, on which the observable depends are resumed, thereby building the correct Q-dependence. We used from this idea and indicated that in NNLO calculation as well as NLO calculation for when we have just one renormalization scale or two renormalization and factorization scales as it is appeared for moment of structure functions, all unphysical parameters can be completely eliminated from perturbative QCD predictions provided that all the ultraviolet logarithms involving the physical energy scale Q are completely resummed.

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