Tenth-Order QED Contribution to the Electron g-2 and an Improved Value of the Fine Structure Constant

This Letter presents the complete QED contribution to the electron g - 2 up to the tenth order. With the help of the automatic code generator, we evaluate all 12 672 diagrams of the tenth-order diagrams and obtain 9.16 (58)(alpha/pi)(5). We also improve the eighth-order contribution obtaining -1.9097 (20)(alpha/pi)(4), which includes the mass-dependent contributions. These results lead to a(e)(theory) = 1 159 652 181.78(77) X (10)(-12). The improved value of the fine-structure constant alpha(-1) = 137.035 999 173 (35) [0.25 ppb] is also derived from the theory and measurement of a(e).