Instanton contributions to the $τ$ decay widths

Details Instanton contributions to the $τ$ decay widths Instanton contributions to the $τ$ decay widths

1993-09-03

arxiv.org/abs/hep-ph/9309217v1

Phys.Lett. B318 (1993) 371-381

Physics

High Energy Physics

High Energy Physics - Phenomenology

LATEX, 13 pages, 3 figures available upon request, MPI-Ph/93-62

Scientific paper

10.1016/0370-2693(93)90142-5

Contrary to some previous claims, we find a sizable instanton contribution to the finite energy sum rule used to extract the value of the strong coupling from the measured $\tau$ decay widths. It is of the same order of magnitude as standard nonperturbative corrections induced by vacuum quark and gluon condensates. Our result indicates that there might be no hierarchy of power corrections in finite energy sum rules at the scale of $\tau$ mass. Therefore, the standard nonperturbative corrections do not necessarily improve the accuracy of the theoretical predicition, but can rather be used to estimate an intrinsic accuracy of the pure perturbative calculation, which turns out to be rather high on this evidence, of order one percent.

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