Article ID Journal Published Year Pages File Type
10725497 Physics Letters B 2006 6 Pages PDF
Abstract
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.
Related Topics
Physical Sciences and Engineering Physics and Astronomy Nuclear and High Energy Physics
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