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

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

1997-01-17

arxiv.org/abs/hep-ph/9701321v1

Phys.Lett. B397 (1997) 137-142

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/S0370-2693(97)00157-3

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.

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