At present,several laser spectroscopy experiments [1-3] are underway to precisely measure the ro-vibrational spectra of the hydrogen molecular ions H2 + and HD+.Aiming at a sub-ppb precision,these measurements are supposed [4-5] to be used for determining the value of the electron-to-proton mass ratio with a precision that is comparable to even better than the current CODATA value,by comparing with theoretical data that contains relativistic and quantum electrodynamic (QED) corrections to a sufficiently high order.