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We obtain constraints on the variation of the fundamental constants from thefull shape of the redshift-space correlation function of a sample of luminousgalaxies drawn from the Data Release 9 of the Baryonic OscillationsSpectroscopic Survey. We combine this information with data from recent CMB,BAO and H_0 measurements. We focus on possible variations of the fine structureconstant \alpha and the electron mass m_e in the early universe, and study thedegeneracies between these constants and other cosmological parameters, such asthe dark energy equation of state parameter w_DE, the massive neutrinosfraction f_\nu, the effective number of relativistic species N_eff, and theprimordial helium abundance Y_He. When only one of the fundamental constants isvaried, our final bounds are \alpha / \alpha_0 = 0.9957_{-0.0042}^{+0.0041} andm_e /(m_e)_0 = 1.006_{-0.013}^{+0.014}. For their joint variation, our resultsare \alpha / \alpha_0 = 0.9901_{-0.0054}^{+0.0055} and m_e /(m_e)_0 = 1.028 +/-0.019. Although when m_e is allowed to vary our constraints on w_DE areconsistent with a cosmological constant, when \alpha is treated as a freeparameter we find w_DE = -1.20 +/- 0.13; more than 1 \sigma away from itsstandard value. When f_\nu and \alpha are allowed to vary simultaneously, wefind f_\nu < 0.043 (95% CL), implying a limit of \sum m_\nu < 0.46 eV (95% CL),while for m_e variation, we obtain f_nu < 0.086 (95% CL), which implies \summ_\nu < 1.1 eV (95% CL). When N_eff or Y_He are considered as free parameters,their simultaneous variation with \alpha provides constraints close to theirstandard values (when the H_0 prior is not included in the analysis), whilewhen m_e is allowed to vary, their preferred values are significantly higher.In all cases, our results are consistent with no variations of \alpha or m_e atthe 1 or 2 \sigma level.

monthly notices of the royal astronomical society

The clustering of galaxies in the SDSS-III Baryon Oscillation  Spectroscopic Survey: constraints on the time variation of fundamental  constants from the large-scale two-point correlation function