The first comprehensive dataset of beyond-Voigt line-shape parameters from ab initio quantum scattering calculations for the HITRAN database: He-perturbed H2 case study

•New method for populating line-by-line spectroscopic databases with beyond-Voigt lineshape parameters.•He-perturbed H2.•Ab initio quantum scattering calculations of beyond-Voigt line-shape parameters.•Simple and compact formula that allows the speed-dependence parameters to be calculated directly from the generalized spectroscopic cross sections.•Dataset compatible with the HITRAN database.•Temperature dependences of the beyond-Voigt line-shape parameters covering the range from 20 to 1000 K.