Complete $\alpha^6\,m$ corrections to the ground state of H$_2$
  We perform the calculation of all relativistic and quantum electrodynamic corrections of the order of $\alpha^6\,m$ to the ground electronic state of a hydrogen molecule and present improved results for the dissociation and the fundamental transitions energies. These results open the window for the high-precision spectroscopy of H$_2$ and related low-energy tests of fundamental interactions. 
Mariusz Puchalski, Jacek Komasa, Pawel Czachorowski, Krzysztof   Pachucki
physics.chem-ph hep-ph