Y. Ali-haïmoud and C. M. Hirata, HyRec: A fast and highly accurate primordial hydrogen and helium recombination code, Physical Review D, vol.83, issue.4, p.43513, 2011.
DOI : 10.1103/PhysRevD.83.043513

P. Avelino, C. Martins, and G. Rocha, Looking for a varying ?? in the cosmic microwave background, Physical Review D, vol.62, issue.12, p.123508, 2000.
DOI : 10.1103/PhysRevD.62.123508

P. Avelino, S. Esposito, G. Mangano, and C. Martins, Early-universe constraints on a time-varying fine structure constant, Physical Review D, vol.64, issue.10, p.103505, 2001.
DOI : 10.1103/PhysRevD.64.103505

R. Battye, R. Crittenden, and J. Weller, Cosmic concordance and the fine structure constant, Physical Review D, vol.63, issue.4, p.43505, 2001.
DOI : 10.1103/PhysRevD.63.043505

C. L. Bennett, D. Larson, and J. L. Weiland, ) OBSERVATIONS: FINAL MAPS AND RESULTS, The Astrophysical Journal Supplement Series, vol.208, issue.2, p.20, 2013.
DOI : 10.1088/0067-0049/208/2/20

J. Berengut, V. Flambaum, J. King, S. Curran, and J. Webb, Is there further evidence for spatial variation of fundamental constants?, Physical Review D, vol.83, issue.12, p.123506, 2011.
DOI : 10.1103/PhysRevD.83.123506

L. Bergström, S. Iguri, and H. Rubinstein, Constraints on the variation of the fine structure constant from big bang nucleosynthesis, Physical Review D, vol.60, issue.4, p.45005, 1999.
DOI : 10.1103/PhysRevD.60.045005

S. Bize, S. Diddams, and U. Tanaka, Single-Ion Optical Clock, Physical Review Letters, vol.90, issue.15, p.150802, 2003.
DOI : 10.1103/PhysRevLett.90.150802

P. Bonifacio, H. Rahmani, and J. B. Whitmore, Fundamental constants and high-resolution spectroscopy, Astronomische Nachrichten, vol.467, issue.1, p.83, 2014.
DOI : 10.1002/asna.201312005

C. L. Carilli, K. M. Menten, and J. T. Stocke, Astronomical Constraints on the Cosmic Evolution of the Fine Structure Constant and Possible Quantum Dimensions, Physical Review Letters, vol.85, issue.26, p.5511, 2001.
DOI : 10.1103/PhysRevLett.85.5511

A. Cingöz, A. Lapierre, and A. Nguyen, Limit on the Temporal Variation of the Fine-Structure Constant Using Atomic Dysprosium, Physical Review Letters, vol.98, issue.4, p.40801, 2008.
DOI : 10.1103/PhysRevLett.98.040801

A. Coc, K. A. Olive, J. Uzan, and E. Vangioni, Big bang nucleosynthesis constraints on scalar-tensor theories of gravity, Physical Review D, vol.73, issue.8, p.83525, 2006.
DOI : 10.1103/PhysRevD.73.083525
URL : https://hal.archives-ouvertes.fr/in2p3-00068662

A. Coc, N. J. Nunes, K. A. Olive, J. Uzan, and E. Vangioni, Coupled variations of fundamental couplings and primordial nucleosynthesis, Physical Review D, vol.76, issue.2, p.23511, 2007.
DOI : 10.1103/PhysRevD.76.023511
URL : https://hal.archives-ouvertes.fr/in2p3-00128959

T. Damour and F. Dyson, The Oklo bound on the time variation of the fine-structure constant revisited, Nuclear Physics B, vol.480, issue.1-2, p.37, 1996.
DOI : 10.1016/S0550-3213(96)00467-1

T. Damour and B. Pichon, Big bang nucleosynthesis and tensor-scalar gravity, Physical Review D, vol.59, issue.12, p.123502, 1999.
DOI : 10.1103/PhysRevD.59.123502

R. H. Dicke, Mach's Principle and Invariance under Transformation of Units, Physical Review, vol.125, issue.6, p.2163, 1962.
DOI : 10.1103/PhysRev.125.2163

M. J. Duff, ArXiv e-prints [arXiv:hep-th, 2002.

V. V. Flambaum, VARIATION OF THE FUNDAMENTAL CONSTANTS: THEORY AND OBSERVATIONS, International Journal of Modern Physics A, vol.22, issue.27, p.4937, 2007.
DOI : 10.1142/S0217751X07038293

Y. Fujii, A. Iwamoto, and T. Fukahori, The nuclear interaction at Oklo 2 billion years ago, Nuclear Physics B, vol.573, issue.1-2, p.377, 2000.
DOI : 10.1016/S0550-3213(00)00038-9

S. Galli, Clusters of galaxies and variation of the fine structure constant, Physical Review D, vol.87, issue.12, p.123516, 2013.
DOI : 10.1103/PhysRevD.87.123516

S. Galli, A. Melchiorri, G. F. Smoot, and O. Zahn, From Cavendish to PLANCK: Constraining Newton???s gravitational constant with CMB temperature and polarization anisotropy, Physical Review D, vol.80, issue.2, p.23508, 2009.
DOI : 10.1103/PhysRevD.80.023508

S. Galli, M. Martinelli, and A. Melchiorri, Constraining fundamental physics with future CMB experiments, Physical Review D, vol.82, issue.12, p.123504, 2010.
DOI : 10.1103/PhysRevD.82.123504

A. Gelman and D. Rubin, Inference from Iterative Simulation Using Multiple Sequences, Statistical Science, vol.7, issue.4, p.457, 1992.
DOI : 10.1214/ss/1177011136

K. M. Gorski, E. Hivon, and A. Banday, HEALPix: A Framework for High???Resolution Discretization and Fast Analysis of Data Distributed on the Sphere, The Astrophysical Journal, vol.622, issue.2, pp.759-781, 2005.
DOI : 10.1086/427976

C. Gould, E. Sharapov, and S. Lamoreaux, Time variability of ?? from realistic models of Oklo reactors, Physical Review C, vol.74, issue.2, p.24607, 2006.
DOI : 10.1103/PhysRevC.74.024607

S. Hannestad, Possible constraints on the time variation of the fine structure constant from cosmic microwave background data, Physical Review D, vol.60, issue.2, p.23515, 1999.
DOI : 10.1103/PhysRevD.60.023515

D. Hanson and A. Lewis, Estimators for CMB statistical anisotropy, Physical Review D, vol.80, issue.6, p.63004, 2009.
DOI : 10.1103/PhysRevD.80.063004

G. Hinshaw, D. Larson, and E. Komatsu, ) OBSERVATIONS: COSMOLOGICAL PARAMETER RESULTS, The Astrophysical Journal Supplement Series, vol.208, issue.2, p.19, 2013.
DOI : 10.1088/0067-0049/208/2/19

Z. Hou, R. Keisler, L. Knox, M. Millea, and C. Reichardt, How massless neutrinos affect the cosmic microwave background damping tail, Physical Review D, vol.87, issue.8, p.83008, 2013.
DOI : 10.1103/PhysRevD.87.083008

W. Hu and N. Sugiyama, Anisotropies in the cosmic microwave background: an analytic approach, The Astrophysical Journal, vol.444, p.489, 1995.
DOI : 10.1086/175624

K. Ichikawa, T. Kanzaki, and M. Kawasaki, CMB constraints on the simultaneous variation of the fine structure constant and the electron mass, Physical Review D, vol.74, issue.2, p.23515, 2006.
DOI : 10.1103/PhysRevD.74.023515

B. Jain, A. Joyce, and R. Thompson, ArXiv e-prints, 2013.

N. Kaiser, Small-angle anisotropy of the microwave background radiation in the adiabatic theory, Monthly Notices of the Royal Astronomical Society, vol.202, issue.4, p.1169, 1983.
DOI : 10.1093/mnras/202.4.1169

N. Kanekar, C. L. Carilli, and C. I. Langston, Constraints on Changes in Fundamental Constants from a Cosmologically Distant OH Absorber or Emitter, Physical Review Letters, vol.95, issue.26, p.261301, 2005.
DOI : 10.1103/PhysRevLett.95.261301

M. Kaplinghat, R. Scherrer, and M. Turner, Constraining variations in the fine-structure constant with the cosmic microwave background, Physical Review D, vol.60, issue.2, p.23516, 1999.
DOI : 10.1103/PhysRevD.60.023516

J. A. King, J. K. Webb, and M. T. Murphy, Spatial variation in the fine-structure constant - new results from VLT/UVES, Monthly Notices of the Royal Astronomical Society, vol.422, issue.4, p.3370, 2012.
DOI : 10.1111/j.1365-2966.2012.20852.x

P. Kuroda, On the Nuclear Physical Stability of the Uranium Minerals, The Journal of Chemical Physics, vol.25, issue.4, p.781, 1956.
DOI : 10.1063/1.1743058

M. Livio, D. Hollowell, A. Weiss, and J. Truran, The anthropic significance of the existence of an excited state of 12C, Nature, vol.340, issue.6231, p.281, 1989.
DOI : 10.1038/340281a0

F. Luo, K. A. Olive, and J. Uzan, Gyromagnetic factors and atomic clock constraints on the variation of fundamental constants, Physical Review D, vol.84, issue.9, p.96004, 2011.
DOI : 10.1103/PhysRevD.84.096004

C. Martins, A. Melchiorri, and G. Rocha, WMAP constraints on varying ?? and the promise of reionization, Physics Letters B, vol.585, issue.1-2, p.29, 2004.
DOI : 10.1016/j.physletb.2003.11.080

C. J. Martins, A. Melchiorri, G. Rocha, and R. Trotta, WMAP constraints on varying ?? and the promise of reionization, Physics Letters B, vol.585, issue.1-2, p.29, 2004.
DOI : 10.1016/j.physletb.2003.11.080

E. Menegoni, S. Galli, J. Bartlett, C. Martins, and A. Melchiorri, New constraints on variations of the fine structure constant from CMB anisotropies, Physical Review D, vol.80, issue.8, p.87302, 2009.
DOI : 10.1103/PhysRevD.80.087302
URL : https://hal.archives-ouvertes.fr/hal-00711752

P. Mohr, B. Taylor, and D. Newell, CODATA recommended values of the fundamental physical constants: 2006, Reviews of Modern Physics, vol.80, issue.2, p.633, 2008.
DOI : 10.1103/RevModPhys.80.633

A. Moss, D. Scott, J. P. Zibin, and R. Battye, Tilted physics: A cosmologically dipole-modulated sky, Physical Review D, vol.84, issue.2, p.23014, 2011.
DOI : 10.1103/PhysRevD.84.023014

C. M. Müller, G. Schäfer, and C. Wetterich, Nucleosynthesis and the variation of fundamental couplings, Physical Review D, vol.70, issue.8, p.83504, 2004.
DOI : 10.1103/PhysRevD.70.083504

M. Nakashima, R. Nagata, and J. Yokoyama, Constraints on the Time Variation of the Fine Structure Constant by the 5-Year WMAP Data, Progress of Theoretical Physics, vol.120, issue.6, p.1207, 2008.
DOI : 10.1143/PTP.120.1207

K. A. Olive and M. Pospelov, Evolution of the fine structure constant driven by dark matter and the cosmological constant, Physical Review D, vol.65, issue.8, p.85044, 2002.
DOI : 10.1103/PhysRevD.65.085044

K. Olive, M. Pospelov, and Y. Qian, Constraints on the variations of the fundamental couplings, Physical Review D, vol.66, issue.4, p.45022, 2002.
DOI : 10.1103/PhysRevD.66.045022
URL : https://hal.archives-ouvertes.fr/in2p3-00011847

K. A. Olive, M. Peloso, and J. Uzan, Wall of fundamental constants, Physical Review D, vol.83, issue.4, p.43509, 2011.
DOI : 10.1103/PhysRevD.83.043509

K. A. Olive, M. Peloso, and A. J. Peterson, Where are the walls? Spatial variation in the fine-structure constant, Physical Review D, vol.86, issue.4, p.43501, 2012.
DOI : 10.1103/PhysRevD.86.043501

O. Pisanti, A. Cirillo, and S. Esposito, PArthENoPE: Public algorithm evaluating the nucleosynthesis of primordial elements, Computer Physics Communications, vol.178, issue.12, p.956, 2008.
DOI : 10.1016/j.cpc.2008.02.015

C. Pitrou, J. Uzan, and F. Bernardeau, Cosmic microwave background bispectrum on small angular scales, Physical Review D, vol.78, issue.6, p.63526, 2008.
DOI : 10.1103/PhysRevD.78.063526

C. L. Reichardt, L. Shaw, and O. Zahn, A MEASUREMENT OF SECONDARY COSMIC MICROWAVE BACKGROUND ANISOTROPIES WITH TWO YEARS OF SOUTH POLE TELESCOPE OBSERVATIONS, The Astrophysical Journal, vol.755, issue.1, p.70, 2012.
DOI : 10.1088/0004-637X/755/1/70

A. Riazuelo and J. Uzan, Cosmological observations in scalar-tensor quintessence, Physical Review D, vol.66, issue.2, p.23525, 2002.
DOI : 10.1103/PhysRevD.66.023525

A. G. Riess, L. Macri, and S. Casertano, AND WIDE FIELD CAMERA 3, The Astrophysical Journal, vol.730, issue.2, p.119, 2011.
DOI : 10.1088/0004-637X/730/2/119

M. Savedoff, Physical Constants in Extra-Galactic Nebul??, Nature, vol.61, issue.4535, p.688, 1956.
DOI : 10.1038/178688b0

C. Scoccola, S. Landau, and H. Vucetich, WMAP 5-year constraints on time variation of ?? and <mml:math altimg="si1.gif" overflow="scroll" xmlns:xocs="http://www.elsevier.com/xml/xocs/dtd" xmlns:xs="http://www.w3.org/2001/XMLSchema" xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xmlns="http://www.elsevier.com/xml/ja/dtd" xmlns:ja="http://www.elsevier.com/xml/ja/dtd" xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:tb="http://www.elsevier.com/xml/common/table/dtd" xmlns:sb="http://www.elsevier.com/xml/common/struct-bib/dtd" xmlns:ce="http://www.elsevier.com/xml/common/dtd" xmlns:xlink="http://www.w3.org/1999/xlink" xmlns:cals="http://www.elsevier.com/xml/common/cals/dtd"><mml:msub><mml:mi>m</mml:mi><mml:mi>e</mml:mi></mml:msub></mml:math> in a detailed recombination scenario, Physics Letters B, vol.669, issue.3-4, p.212, 2008.
DOI : 10.1016/j.physletb.2008.09.051

C. G. Scóccola, A. G. Sánchez, and J. A. Rubiño-martín, 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, Monthly Notices of the Royal Astronomical Society, vol.434, issue.2, p.1792, 2013.
DOI : 10.1093/mnras/stt1143

S. Seager, D. D. Davelov, D. Scott, S. Seager, D. D. Sasselov et al., A New Calculation of the Recombination Epoch, The Astrophysical Journal, vol.523, issue.1, pp.1-407, 1999.
DOI : 10.1086/312250

A. Shlyakhter, Direct test of the constancy of fundamental nuclear constants, Nature, vol.95, issue.5584, p.340, 1976.
DOI : 10.1103/PhysRevLett.19.1291

K. Sigurdson, A. Kurylov, and M. Kamionkowski, Spatial variation of the fine-structure parameter and the cosmic microwave background, Physical Review D, vol.68, issue.10, p.103509, 2003.
DOI : 10.1103/PhysRevD.68.103509

J. Silk, Cosmic Black-Body Radiation and Galaxy Formation, The Astrophysical Journal, vol.151, p.459, 1968.
DOI : 10.1086/149449

R. Srianand, H. Chand, P. Petitjean, and B. Aracil, Limits on the Time Variation of the Electromagnetic Fine-Structure Constant in the Low Energy Limit from Absorption Lines in the Spectra of Distant Quasars, Physical Review Letters, vol.92, issue.12, p.121302, 2004.
DOI : 10.1103/PhysRevLett.92.121302

R. Srianand, H. Chand, P. Petitjean, and B. Aracil, Reply:, Physical Review Letters, vol.99, issue.23, p.239002, 2007.
DOI : 10.1103/PhysRevLett.99.239002

J. Uzan, The fundamental constants and their variation: observational and theoretical status, Reviews of Modern Physics, vol.75, issue.2, p.403, 2003.
DOI : 10.1103/RevModPhys.75.403
URL : https://hal.archives-ouvertes.fr/hal-00110600

J. Uzan, The acceleration of the universe and the physics behind it, General Relativity and Gravitation, vol.72, issue.3, p.307, 2007.
DOI : 10.1007/s10714-006-0385-z

J. Webb, M. Murphy, V. Flambaum, and V. Dzuba, Further Evidence for Cosmological Evolution of the Fine Structure Constant, Physical Review Letters, vol.87, issue.9, p.91301, 2001.
DOI : 10.1103/PhysRevLett.87.091301

D. Wilkinson, Do the ???Constants of Nature??? change with Time?, Philosophical Magazine, vol.3, issue.30, p.582, 1958.
DOI : 10.1103/PhysRev.73.801

C. M. Will, Theory and experiment in gravitational physics, 1981.

O. Zahn and M. Zaldarriaga, Probing the Friedmann equation during recombination with future cosmic microwave background experiments, Physical Review D, vol.67, issue.6, p.63002, 2003.
DOI : 10.1103/PhysRevD.67.063002

M. Zaldarriaga and D. D. Harari, Analytic approach to the polarization of the cosmic microwave background in flat and open universes, Physical Review D, vol.52, issue.6, p.3276, 1995.
DOI : 10.1103/PhysRevD.52.3276