Abstract

The order α2s(Q2) corrections to the pion form‐factor Fπ(Q2) are calculated using perturbative QCD and dimensional regularization. The result is compared in the MS and MOM subtraction schemes and plotted as a function of Q2/Q2 where Q is the subtraction point. There is a large dependence on the scheme, the definition of the running coupling constant αs(Q2) and the subtraction point Q. We find it best to invert the β‐function equation for the definition of αs rather than make an expansion in powers of log(Q2/Λ2). We study two methods to optimize the result with respect to Q: Stevenson’s prescription and putting the 0(α2s) term to zero. Both methods give almost the same value for Q2Fπ and this value is scheme independent.

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