General representation of physical quantities in scheme-invariant perturbation theory and its optimization

V. I. Vovk, S. I. Maximov


Abstract: Solution of the complete renormalization group equation for a dimensionless physical quantity in the renormalization scheme-invariant perturbation theory is given. On its basis we obtain the improved power-series expansions of this quantity in powers of its two-loop approximant and a certain function introduced in the paper. General and optimized representations of moments of nonsinglet structure functions are derived.

Received: 29.01.1986

 English version: Theoretical and Mathematical Physics, 1987, 70:2, 158–164

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