Next-to-leading and higher order corrections to the decay rate of dimuonium

Dimuonium, the bound system of a positive and negative muon, can be treated as a compound neutral particle, whose decay products could be detected by established methods of particle physics. We consider the lifetime, the decay branchings and products of ortho and para states. We calculate next-to-leading order radiative corrections and find higher order contributions of relative order α2 within the leading logarithmic approximation.