The analytical value of the electron (g-2) at order alpha^3 in QED
  We have evaluated in closed analytical form the contribution of the three-loop non-planar `triple-cross' diagrams contributing to the electron (g-2) in QED; its value, omitting the already known infrared divergent part, is   a_e(3-cross) = 1/2 pi^2 Z(3) - 55/12 Z(5) - 16/135 pi^4   + 32/3 (a4 + 1/24 ln(2)^4) + 14/9 pi^2 ln(2)^2   - 1/3 Z(3) + 23/3 pi^2 ln(2) - 47/9 pi^2 - 113/48.   This completes the analytical evaluation of the (g-2) at order alpha^3, giving   a_e(3-loop) = (alpha/pi)^3 { 83/72 pi^2 Z(3) - 215/24 Z(5)   + 100/3 [( a4 + 1/24 ln(2)^4 ) - 1/24 pi^2 ln(2)^2 ]   - 239/2160 pi^4 + 139/18 Z(3) - 298/9 pi^2 ln(2)   + 17101/810 pi^2 + 28259/5184 } = (alpha/pi)^3 (1.181241456...). 
S.Laporta, E.Remiddi