Five-loop vacuum polarization in pQCD: O(mq2αs4 nf2) contribution

Abstract

We present the analytical calculation of the contribution of order mq2 αs4 nf2 to the absorptive part of the vacuum polarization function of vector currents. This term constitutes an important gauge-invariant part of the full O(mq2 alphas4) correction to the total cross-section of e+ e- annihilation into hadrons. The results are compared to predictions following from various optimization schemes.

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