The electromagnetic mass difference of pions from asymptotic QCD
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Abstract
We 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\(\Delta m_\pi = 5.3 \pm 1.5MeV.\)
Keywords
Field Theory Elementary Particle Quantum Field Theory Asymptotic Behaviour Particle Acceleration
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References
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