Constraint on a varying proton-to-electron mass ratio from molecular hydrogen absorption toward quasar SDSS J123714.60+064759.5
M. Dapr\`a (1), J. Bagdonaite (1), M. T. Murphy (2), W. Ubachs (1), ((1) Department of Physics, Astronomy, LaserLaB, VU University, Amsterdam,, The Netherlands, (2) Centre for Astrophysics, Supercomputing, Swinburne, University of Technology, Melbourne, Australia)

TL;DR
This study used molecular hydrogen absorption lines in a distant quasar to test if the proton-to-electron mass ratio has changed over 11.4 billion years, finding no significant variation.
Contribution
First precise measurement of proton-to-electron mass ratio variation using H2 absorption in a high-redshift quasar with detailed systematic correction.
Findings
No significant variation in mu detected within uncertainties.
Systematic effects from wavelength calibration were carefully corrected.
Constraints are consistent with a constant mu over 11.4 billion years.
Abstract
Molecular hydrogen transitions in the sub-damped Lyman alpha absorber at redshift z = 2.69, toward the background quasar SDSS J123714.60+064759.5, were analyzed in order to search for a possible variation of the proton-to-electron mass ratio mu over a cosmological time-scale. The system is composed of three absorbing clouds where 137 H2 and HD absorption features were detected. The observations were taken with the Very Large Telescope/Ultraviolet and Visual Echelle Spectrograph with a signal-to-noise ratio of 32 per 2.5 km/s pixel, covering the wavelengths from 356.6 to 409.5 nm. A comprehensive fitting method was used to fit all the absorption features at once. Systematic effects of distortions to the wavelength calibrations were analyzed in detail from measurements of asteroid and `solar twin' spectra, and were corrected for. The final constraint on the relative variation in mu…
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