  The high spectral resolution R about 45,000 provided by IGRINS (Immersion
Grating INfrared Spectrometer) at MacDonald Observatory and R 100,000 achieved
by CRIRES (CRyogenic high-resolution InfraRed Echelle Spectrograph) at VLT
(Very Large Telescope) challenges the present knowledge of infrared spectra.
aims We aim to predict the full infrared spectrum of molecular hydrogen at a
comparable accuracy. methods We take advantage of the recent theoretical ab
initio studies on molecular hydrogen to compute both the electric quadrupole
and magnetic dipole transitions taking place within the ground electronic
molecular state of hydrogen. results We computed the full infrared spectrum of
molecular hydrogen at an unprecedented accuracy and derive for the first time
the emission probabilities including both electric quadrupole ($\Delta J = 0,
\pm$2) and magnetic dipole transitions ($\Delta J = 0$) as well as the total
radiative lifetime of each rovibrational state. Inclusion of magnetic dipole
transitions increases the emission probabilities by factors of a few for highly
excited rotational levels, which occur in the 3-20 $\mu$ range}
