Relating inclusive e+e- annihilation to electroproduction sum rules in Quantum Chromodynamics

Abstract

The Broadhurst-Kataev conjecture, that the ``discrepancy'' in the connection with the ${\pi }^0\to \gamma \gamma$ anomaly equals the beta function $\beta (\bar{\alpha })$ times a power series in the effective coupling $\bar{\alpha }$, is proven to all orders of perturbative quantum chromodynamics. The use of nested short-distance expansions is justified via Weinberg's power-counting theorem.

Comments: 10 pages, LaTeX 2e with packages cite, multicol, and curves, 2 figures in LaTeX