A complete set of scalar master integrals for massive 2-loop Bhabha   scattering: where we are
  We define a complete set of scalar master integrals (MIs) for massive 2-loop QED Bhabha scattering. Among others, there are thirty three 2-loop box type MIs. Five of them have been published in (semi-)analytical form, one is determined here, the rest remains to be calculated. Further, the last four so far unknown 2-loop 3-point MIs are identified and also computed here. 
M. Czakon, J. Gluza, T. Riemann