. G. Voir-par-ex and J. Baker, Advances in theoretical physics, 1965.

R. Seznec and J. Zinn-justin, Summation of divergent series by order dependent mappings: Application to the anharmonic oscillator and critical exponents in field theory, Journal of Mathematical Physics, vol.20, issue.7, p.1398, 1979.
DOI : 10.1063/1.524247

J. C. Le-guillou and J. Zinn-justin, The hydrogen atom in strong magnetic fields: Summation of the weak field series expansion, Annals of Physics, vol.147, issue.1, p.57, 1983.
DOI : 10.1016/0003-4916(83)90067-2

J. Kneur, Variational quark mass expansion and the order parameters of chiral symmetry breaking, Physical Review D, vol.57, issue.5, p.2785, 1998.
DOI : 10.1103/PhysRevD.57.2785

F. David, Non-perturbative effects and infrared renormalons within the 1/N expansion of the O(N) non-linear sigma model, Nuclear Physics B, vol.209, issue.2, pp.433-234, 1982.
DOI : 10.1016/0550-3213(82)90266-8

J. Kneur, M. B. Pinto, and R. O. Ramos, Asymptotically improved convergence of optimized perturbation theory in the Bose-Einstein condensation problem, Physical Review A, vol.68, issue.4, p.43615, 2003.
DOI : 10.1103/PhysRevA.68.043615

J. Kneur, A. Neveu, and M. B. Pinto, Improved optimization of perturbation theory: Applications to the oscillator energy levels and Bose-Einstein condensate critical temperature, Physical Review A, vol.69, issue.5, p.53624, 2004.
DOI : 10.1103/PhysRevA.69.053624

URL : https://hal.archives-ouvertes.fr/hal-00259672

J. O. Andersen, Theory of the weakly interacting Bose gas, Reviews of Modern Physics, vol.76, issue.2, p.599, 2004.
DOI : 10.1103/RevModPhys.76.599

B. Kastening, Bose-Einstein condensation temperature of a homogeneous weakly interacting Bose gas in variational perturbation theory through six loops, Physical Review A, vol.68, issue.6, pp.61601-043613, 2003.
DOI : 10.1103/PhysRevA.68.061601

G. Baym, J. Blaizot, and J. Zinn-justin, internal states, Europhysics Letters (EPL), vol.49, issue.2, p.150, 2000.
DOI : 10.1209/epl/i2000-00130-3

M. Beneke, V. Braun, . Nucl, and . Phys, B426 (1994) 301; I. Bigi et al, Phys. Rev, pp.50-2234, 1994.

. Voir-par-ex, Ablowitz and A. Fokas, Complex Variables, Introduction and Applications, 1997.

E. Braaten and E. Radescu, Field Theory, Physical Review Letters, vol.89, issue.27, pp.271602-06360, 2002.
DOI : 10.1103/PhysRevLett.89.271602

P. Arnold and B. Tomásik, T_{c} for dilute Bose gases:???Beyond leading order in 1/N, Physical Review A, vol.62, issue.6, p.63604, 2000.
DOI : 10.1103/PhysRevA.62.063604

V. A. Kashurnikov, N. V. Prokof-'ev, and B. V. Svistunov, Critical Temperature Shift in Weakly Interacting Bose Gas, Physical Review Letters, vol.87, issue.12, p.120402, 2001.
DOI : 10.1103/PhysRevLett.87.120402

P. Arnold and G. Moore, BEC Transition Temperature of a Dilute Homogeneous Imperfect Bose Gas, Physical Review Letters, vol.87, issue.12, p.120401, 2001.
DOI : 10.1103/PhysRevLett.87.120401

P. Arnold, G. Moore, and B. Tomásik, for homogeneous dilute Bose gases: A second-order result, Physical Review A, vol.65, issue.1, p.13606, 2002.
DOI : 10.1103/PhysRevA.65.013606

B. Kastening, Nonuniversal critical quantities from variational perturbation theory and their application to the Bose-Einstein condensation temperature shift, Physical Review A, vol.70, issue.4, p.43621, 2004.
DOI : 10.1103/PhysRevA.70.043621

". J. Supergravity, J. Wess, and . Bagger, Supersymmetry, Physics; H.P. Nilles, p.9709356, 1984.

G. Farrar and P. Fayet, Phenomenology of the production, decay, and detection of new hadronic states associated with supersymmetry, Physics Letters B, vol.76, issue.5, p.575, 1978.
DOI : 10.1016/0370-2693(78)90858-4

P. Fayet, J. Iliopoulos, . Phys, and . Lett, 51B (1974) 461; L. O'Raifeartaigh, Nucl. Phys, pp.96-331, 1975.

J. M. Frère, D. R. Jones, and S. Raby, Fermion masses and induction of the weak scale by supergravity, Nuclear Physics B, vol.222, issue.1, p.11, 1983.
DOI : 10.1016/0550-3213(83)90606-5

M. Claudson, L. Hall, and I. Hinchliffe, Low-energy supergravity: False vacua and vacuous predictions, Nuclear Physics B, vol.228, issue.3, p.501, 1983.
DOI : 10.1016/0550-3213(83)90556-4

J. Ellis, S. Kelley, D. V. Nanopoulos, P. Lett-amaldi, W. De-boer et al., B260 (1991) 131, Phys. Rev.D Mod. Phys. Lett, vol.44, issue.817, pp.6-1745, 1991.

L. Randall, R. Sundrum, N. Phys, G. Giudice, M. Luty et al., B557 (1999) 79, JHEP Phys. Rev, vol.9812, pp.65-115003, 1998.

S. P. Martin, M. Vaughn, I. Jack, D. R. Jones, S. P. Martin et al., Two-loop renormalization group equations for soft supersymmetry-breaking couplings, Physical Review D, vol.50, issue.3, pp.2282-5481, 1994.
DOI : 10.1103/PhysRevD.50.2282

M. Davier, S. Eidelman, A. Höcker, Z. Zhang, E. K. Hagiwara et al., hep- ph/0308213, Phys. J. C31 Phys. Rev. Phys. Rev. J. Phys, vol.503, issue.31, pp.93003-073008, 2003.

P. Gambino, U. Haisch, and M. Misiak, Amplitude, Physical Review Letters, vol.94, issue.6, pp.61803-0410155, 2005.
DOI : 10.1103/PhysRevLett.94.061803

K. Okumura and L. Roszkowski, on Supersymmetry Flavor Mixing Due to Next-To-Leading-Order Corrections, Physical Review Letters, vol.92, issue.16, pp.161801-0208101, 2004.
DOI : 10.1103/PhysRevLett.92.161801

E. W. Kolb and M. S. Turner, The Early Universe, 1990.