On the Stability of Fundamental Couplings in the Galaxy
S. M. Jo\~ao, C. J. A. P. Martins, I. S. A. B. Mota, P. M. T., Vianez

TL;DR
This paper provides updated astrophysical constraints on the stability of the fine-structure constant and proton-to-electron mass ratio within the Galaxy, improving previous bounds and exploring implications for fundamental physics models.
Contribution
It revisits and enhances previous analyses by allowing simultaneous variations of both couplings and combining recent measurements, setting tighter bounds on their stability.
Findings
No evidence for variations of α at 0.4 ppm
No evidence for variations of μ at 0.6 ppm
Bounds improve to 0.1 ppm when using Levshakov's prior
Abstract
Astrophysical tests of the stability of Nature's fundamental couplings are a key probe of the standard paradigms in fundamental physics and cosmology. In this report we discuss updated constraints on the stability of the fine-structure constant and the proton-to-electron mass ratio within the Galaxy. We revisit and improve upon the analysis by Truppe {\it et al.} by allowing for the possibility of simultaneous variations of both couplings and also by combining them with the recent measurements by Levshakov {\it et al.} By considering representative unification scenarios we find no evidence for variations of at the 0.4 ppm level, and of at the 0.6 ppm level; if one uses the Levshakov bound on as a prior, the bound is improved to 0.1 ppm. We also highlight how these measurements can constrain (and discriminate among) several fundamental…
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