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Optimization for factorized quantities in perturbative QCD
- Source :
- Nuclear Physics, Nuclear Physics B, Vol 944, Iss, Pp-(2019)
- Publication Year :
- 2019
- Publisher :
- Elsevier, 2019.
-
Abstract
- Perturbative calculations of factorized physical quantities, such as moments of structure functions, suffer from renormalization- and factorization-scheme dependence. The application of the principle of minimal sensitivity to "optimize" the scheme choices is reconsidered, correcting deficiencies in the earlier literature. The proper scheme variables, RG equations, and invariants are identified. Earlier results of Nakkagawa and Niegawa are recovered, even though their starting point is, at best, unnecessarily complicated. In particular, the optimized coefficients of the coefficient function C are shown to vanish, so that C^opt=1. The resulting simplifications mean that the optimization procedure is as simple as that for purely-perturbative physical quantities.<br />19 pages, no figures
- Subjects :
- Physics
Nuclear and High Energy Physics
FOS: Physical sciences
Perturbative QCD
Function (mathematics)
Renormalization
High Energy Physics - Phenomenology
High Energy Physics - Phenomenology (hep-ph)
Simple (abstract algebra)
Scheme (mathematics)
lcsh:QC770-798
Applied mathematics
lcsh:Nuclear and particle physics. Atomic energy. Radioactivity
Point (geometry)
Sensitivity (control systems)
Physical quantity
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Nuclear Physics
- Accession number :
- edsair.doi.dedup.....14c4d12f94a5af198479f47f232e375b