First cosmological constraints on the proton-to-electron mass ratio from observations of rotational transitions of methanol
S.P. Ellingsen (1), M.A. Voronkov (2), S.L. Breen (2), J.E.J. Lovell, (1) ((1) School of Mathematics, Physics, University of Tasmania (2) CSIRO, Astronomy, Space Science)

TL;DR
This study uses methanol absorption lines observed with the Australia Telescope to place constraints on the variation of the proton-to-electron mass ratio over cosmic time, achieving high precision and suggesting potential for future improvements.
Contribution
First to constrain the proton-to-electron mass ratio at z=0.89 using methanol rotational transitions with high precision.
Findings
Constraint on proton-to-electron mass ratio change: 0.8 +/- 2.1 x 10^-7.
Comparable precision to recent z=0.68 studies.
Potential to improve constraints by a factor of 5-10 with future observations.
Abstract
We have used the Australia Telescope Compact Array to measure the absorption from the 2(0) - 3(-1}E 12.2 GHz transition of methanol towards the z=0.89 lensing galaxy in the PKS B 1830-211 gravitational lens system. Comparison of the velocity of the main absorption feature with the published absorption spectrum from the 1(0) - 2(-1)E transition of methanol shows that they differ by -0.6 +/- 1.6 km/s . We can use these observations to constrain the changes in the proton-to-electron mass ratio from z=0.89 to the present to 0.8 +/- 2.1 x 10^-7. This result is consistent, and of similar precision to recent observations at z = 0.68 achieved through comparison of a variety of rotational and inversion transitions, and approximately a factor of 2 better than previous constraints obtained in this source. Future more sensitive observations which incorporate additional rotational methanol…
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