New Determination of the Fine Structure Constant and Test of the Quantum Electrodynamics

Abstract
We report a new measurement of the ratio h/mRb between the Planck constant and the mass of Rb87 atom. A new value of the fine structure constant is deduced, $\alpha${}-1=137.035\,999\,037\,(91) with a relative uncertainty of 6.6\ifmmode\times\else\texttimes\fi{}10-10. Using this determination, we obtain a theoretical value of the electron anomaly ae=0.001\,159\,652\,181\,13(84), which is in agreement with the experimental measurement of Gabrielse [ae=0.001\,159\,652\,180\,73(28)]. The comparison of these values provides the most stringent test of the QED. Moreover, the precision is large enough to verify for the first time the muonic and hadronic contributions to this anomaly.
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