H$_2$/HD molecular data for analysis of quasar spectra in search of
  varying constants
  Absorption lines of H$_2$ and HD molecules observed at high redshift in the
line of sight towards quasars are a test ground to search for variation of the
proton-to-electron mass ratio $\mu$. For this purpose, results from
astronomical observations are compared with a compilation of molecular data of
the highest accuracy, obtained in laboratory studies as well as in
first-principles calculations. Aims: A comprehensive line list is compiled for
H$_2$ and HD absorption lines in the Lyman ($B^1\Sigma_u^+$ - $X^1\Sigma_g^+$)
and Werner ($C^1\Pi_u$ - $X^1\Sigma_g^+$) band systems up to the Lyman cutoff
at 912 Angstroms. Molecular parameters listed for each line $i$ are the
transition wavelength $\lambda_i$, the line oscillator strength $f_i$, the
radiative damping parameter of the excited state $\Gamma_i$, and the
sensitivity coefficient $K_i$ for a variation of the proton-to-electron mass
ratio. Methods: The transition wavelengths $\lambda_i$ for the H$_2$ and HD
molecules are determined by a variety of advanced high-precision spectroscopic
experiments involving narrowband vacuum ultraviolet lasers, Fourier-transform
spectrometers, and synchrotron radiation sources. Results for the line
oscillator strengths $f_i$, damping parameters $\Gamma_i$, and sensitivity
coefficients $K_i$ are obtained in theoretical quantum chemical calculations.
Results: A new list of molecular data is compiled for future analyses of cold
clouds of hydrogen absorbers, specifically for studies of $\mu$-variation from
quasar data. The list is applied in a refit of quasar absorption spectra of
B0642$-$5038 and J1237$+$0647 yielding constraints on a variation of the
proton-to-electron mass ratio $\Delta\mu/\mu$ consistent with previous
analyses.
