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Three loop QED vacuum polarization and the four loop muon anomalous magnetic momentстатья
- Авторы: Baikov P.A., Broadhurst David J.
- Сборник: NEW COMPUTING TECHNIQUES IN PHYSICS RESEARCH IV: proceedings
- Год издания: 1995
- Место издания: World Scientific Publishing Co United States
- Первая страница: 167
- Последняя страница: 172
- Аннотация: Three-loop contributions to massive QED vacuum polarization are evaluated by a combination of analytical and numerical techniques. The first three Taylor coefficients, at small q 2, are obtained analytically, using d-dimensional recurrence relations. Combining these with analytical input at threshold, and at large q^2, an accurate Pade approximation is obtained, for all q^2. Inserting this in the one-loop diagram for the muon anomalous magnetic moment, we find reasonable agreement with four-loop, single-electron-loop, muon-anomaly contributions, recently re-evaluated by Kinoshita, using 8-dimensional Monte-Carlo integration. We believe that our new method is at least two orders of magnitude more accurate than the Monte-Carlo approach, whose uncertainties appear to have been underestimated, by a factor of 6.
- Добавил в систему: Байков Павел Анатольевич