### Abstract

We obtain constraints on the variation of the fundamental constants from the full shape of the redshift-space correlation function of a sample of luminous galaxies drawn from the Data Release 9 of the Baryonic Oscillations Spectroscopic Survey. We combine this information with additional data from recent cosmic microwave background, baryon acoustic oscillations and H_{0} measurements. We focus on possible variations of the fine structure constant a and the electron mass m_{e} in the early Universe, and study the degeneracies between these constants and other cosmological parameters, such as the dark energy equation of state parameter w_{DE}, the massive neutrinos fraction f_{v}, the effective number of relativistic species N_{eff} and the primordial helium abundance Y_{He}. In the case when only one of the fundamental constants is varied, our final bounds are α/α_{0} = 0.9957^{+0.0041} _{-0.0042} and m_{e}/(m_{e})_{0} = 1.006^{+0.014} _{-0.013} For the joint variation of both fundamental constants, our results are α/α_{0} = 0.9901^{+0.0055} _{-0.0054} and m_{e}/(m_{e})_{0} = 1.028 ± 0.019. The variations of α and m_{e} from their present values affect the bounds on other cosmological parameters. Although when m_{e} is allowed to vary our constraints on w_{DE} are consistent with a cosmological constant, when α is treated as a free parameter we find w_{DE} = -1.20 ± 0.13; more than 1σ away from its standard value. When f_{v} and α are allowed to vary simultaneously, we find f_{v} < 0.043 (95 per cent confidence level, CL), implying a limit of σ m_{v} < 0.46 eV (95 per cent CL), while for m_{e} variation, we obtain f_{v} < 0.086 (95 per cent CL), which implies σ m_{v} < 1.1 eV (95 per cent CL).When N_{eff} or Y_{He} are considered as free parameters, their simultaneous variation with α provides constraints close to their standard values (when the H_{0} prior is not included in the analysis), while when m_{e} is allowed to vary, their preferred values are significantly higher. In all cases, our results are consistent with no variations of α or m_{e} at the 1σ or 2σ level.

Original language | English (US) |
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Pages (from-to) | 1792-1807 |

Number of pages | 16 |

Journal | Monthly Notices of the Royal Astronomical Society |

Volume | 434 |

Issue number | 2 |

DOIs | |

State | Published - Sep 1 2013 |

### All Science Journal Classification (ASJC) codes

- Astronomy and Astrophysics
- Space and Planetary Science

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## Cite this

*Monthly Notices of the Royal Astronomical Society*,

*434*(2), 1792-1807. https://doi.org/10.1093/mnras/stt1143