### 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 |

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### All Science Journal Classification (ASJC) codes

- Astronomy and Astrophysics
- Space and Planetary Science

### Cite this

*Monthly Notices of the Royal Astronomical Society*,

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

}

*Monthly Notices of the Royal Astronomical Society*, vol. 434, no. 2, pp. 1792-1807. https://doi.org/10.1093/mnras/stt1143

**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.** / Scóccola, Claudia G.; Sánchez, Ariel G.; Rubiño-Martín, J. A.; Génova-Santos, R.; Rebolo, R.; Ross, A. J.; Percival, W. J.; Manera, M.; Bizyaev, D.; Brownstein, J. R.; Ebelke, G.; Malanushenko, E.; Malanushenko, V.; Oravetz, D.; Pan, K.; Schneider, D. P.; Simmons, A.

Research output: Contribution to journal › Article

TY - JOUR

T1 - The clustering of galaxies in the SDSS-III baryon oscillation spectroscopic survey

T2 - Constraints on the time variation of fundamental constants from the large-scale two-point correlation function

AU - Scóccola, Claudia G.

AU - Sánchez, Ariel G.

AU - Rubiño-Martín, J. A.

AU - Génova-Santos, R.

AU - Rebolo, R.

AU - Ross, A. J.

AU - Percival, W. J.

AU - Manera, M.

AU - Bizyaev, D.

AU - Brownstein, J. R.

AU - Ebelke, G.

AU - Malanushenko, E.

AU - Malanushenko, V.

AU - Oravetz, D.

AU - Pan, K.

AU - Schneider, D. P.

AU - Simmons, A.

PY - 2013/9/1

Y1 - 2013/9/1

N2 - 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 H0 measurements. We focus on possible variations of the fine structure constant a and the electron mass me in the early Universe, and study the degeneracies between these constants and other cosmological parameters, such as the dark energy equation of state parameter wDE, the massive neutrinos fraction fv, the effective number of relativistic species Neff and the primordial helium abundance YHe. In the case when only one of the fundamental constants is varied, our final bounds are α/α0 = 0.9957+0.0041 -0.0042 and me/(me)0 = 1.006+0.014 -0.013 For the joint variation of both fundamental constants, our results are α/α0 = 0.9901+0.0055 -0.0054 and me/(me)0 = 1.028 ± 0.019. The variations of α and me from their present values affect the bounds on other cosmological parameters. Although when me is allowed to vary our constraints on wDE are consistent with a cosmological constant, when α is treated as a free parameter we find wDE = -1.20 ± 0.13; more than 1σ away from its standard value. When fv and α are allowed to vary simultaneously, we find fv < 0.043 (95 per cent confidence level, CL), implying a limit of σ mv < 0.46 eV (95 per cent CL), while for me variation, we obtain fv < 0.086 (95 per cent CL), which implies σ mv < 1.1 eV (95 per cent CL).When Neff or YHe are considered as free parameters, their simultaneous variation with α provides constraints close to their standard values (when the H0 prior is not included in the analysis), while when me is allowed to vary, their preferred values are significantly higher. In all cases, our results are consistent with no variations of α or me at the 1σ or 2σ level.

AB - 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 H0 measurements. We focus on possible variations of the fine structure constant a and the electron mass me in the early Universe, and study the degeneracies between these constants and other cosmological parameters, such as the dark energy equation of state parameter wDE, the massive neutrinos fraction fv, the effective number of relativistic species Neff and the primordial helium abundance YHe. In the case when only one of the fundamental constants is varied, our final bounds are α/α0 = 0.9957+0.0041 -0.0042 and me/(me)0 = 1.006+0.014 -0.013 For the joint variation of both fundamental constants, our results are α/α0 = 0.9901+0.0055 -0.0054 and me/(me)0 = 1.028 ± 0.019. The variations of α and me from their present values affect the bounds on other cosmological parameters. Although when me is allowed to vary our constraints on wDE are consistent with a cosmological constant, when α is treated as a free parameter we find wDE = -1.20 ± 0.13; more than 1σ away from its standard value. When fv and α are allowed to vary simultaneously, we find fv < 0.043 (95 per cent confidence level, CL), implying a limit of σ mv < 0.46 eV (95 per cent CL), while for me variation, we obtain fv < 0.086 (95 per cent CL), which implies σ mv < 1.1 eV (95 per cent CL).When Neff or YHe are considered as free parameters, their simultaneous variation with α provides constraints close to their standard values (when the H0 prior is not included in the analysis), while when me is allowed to vary, their preferred values are significantly higher. In all cases, our results are consistent with no variations of α or me at the 1σ or 2σ level.

UR - http://www.scopus.com/inward/record.url?scp=84884196337&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884196337&partnerID=8YFLogxK

U2 - 10.1093/mnras/stt1143

DO - 10.1093/mnras/stt1143

M3 - Article

AN - SCOPUS:84884196337

VL - 434

SP - 1792

EP - 1807

JO - Monthly Notices of the Royal Astronomical Society

JF - Monthly Notices of the Royal Astronomical Society

SN - 0035-8711

IS - 2

ER -