Pionic contribution to the muon magnetic moment |
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Authors: | I. Raszillier W. Schmidt I.S. Stefanescu |
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Abstract: | A procedure is developed to derive an optimal lower bounds for the pionic contribution to the muon magnetic moment from analyticity of the pion form factor F(t), its normalization F(0)=1 and from experimental information from both the processes e?p → e?π+n and e+e? → π+π?. It represents essentially the solution of a certain kind of optimization problem in Hilbert space. Numerical results are presented and compared to the recent data for the muon magnetic moment; we find aμ(π+π?) ? 42 × 10?9. |
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