# The electromagnetic mass difference of pions from asymptotic QCD

@article{Nasrallah1983TheEM,
title={The electromagnetic mass difference of pions from asymptotic QCD},
author={Nasrallah F. Nasrallah and Nikolaos A. Papadopoulos and Karl Schilcher},
journal={Zeitschrift f{\"u}r Physik C Particles and Fields},
year={1983},
volume={16},
pages={323-326}
}
• Published 1 December 1983
• Physics
• Zeitschrift für Physik C Particles and Fields
AbstractWe show how the asymptotic behaviour of an analytic amplitude can yield information on the amplitude at small space-like momenta. Applying this to QCD two-point functions, we are able to obtain low energy parameters without using resonance saturation. In the special case considered here, we have calculated the electromagnetic mass difference of pions using only the asymptotic QCD amplitude. The result, in very good agreement with experiment is $$\Delta m_\pi = 5.3 \pm 1.5MeV.$$
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