Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2006-01-09
Phys.Lett. B 634 (2006) 413-418
Physics
High Energy Physics
High Energy Physics - Theory
6 pages, 2 figures, RevTex4 style
Scientific paper
10.1016/j.physletb.2006.01.032
The general relation between the standard expansion coefficients and the beta function for the QCD coupling is exactly derived in a mathematically strict way. It is accordingly found that an infinite number of logarithmic terms are lost in the standard expansion with a finite order, and these lost terms can be given in a closed form. Numerical calculations, by a new matching-invariant coupling with the corresponding beta function to four-loop level, show that the new expansion converges much faster.
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