Threshold Corrections to the MSSM Finite-Temperature Higgs Potential
Mikhail Dolgopolov, Mikhail Dubinin, Elza Rykova
DOI: 10.4236/jmp.2011.25039   PDF    HTML     5,401 Downloads   9,772 Views   Citations

Abstract

In the minimal supersymmetric standard model (MSSM) the one-loop finite-temperature corrections from the squark-Higgs bosons sector are calculated, the effective two-Higgs-doublet potential is reconstructed and possibilities of the electroweak phase transition in full MSSM ( , , , , , , ) parameter space are studied. At large values of and of around 1 TeV, favored indirectly by LEP2 and Teva-tron data, the threshold finite-temperature corrections from triangle and box diagrams with intermediate third generation squarks are very substantial. Four types of bifurcation sets are defined for the two-Higgs-doublet potential. High sensitivity of the low-temperature evolution to the effective two-doublet and the MSSM squark sector parameters is observed, but rather extensive regions of the full MSSM parameter space allow the first-order electroweak phase transition respecting the phenomenological constraints at zero temperature. As a rule, these regions of the MSSM parameter space are in line with the case of a light stop quark.

Share and Cite:

M. Dolgopolov, M. Dubinin and E. Rykova, "Threshold Corrections to the MSSM Finite-Temperature Higgs Potential," Journal of Modern Physics, Vol. 2 No. 5, 2011, pp. 301-322. doi: 10.4236/jmp.2011.25039.

Conflicts of Interest

The authors declare no conflicts of interest.

References

[1] V. A. Rubakov and M. E. Shaposhnikov, “Electroweak Baryon Number Non-Conservation in the Early Universe and in High Energy Collisions,” Uspekhi Fizicheskikh Nauk, Vol. 166, No. 5, 1996, pp. 493-537. doi:10.1070/PU1996v039n05ABEH000145
[2] A. D. Linde, “Phase Transitions in Gauge Theories and Cosmology,” Reports on Progress in Physics, Vol. 42, No. 3, 1979, pp. 389-437. doi:10.1088/0034-4885/42/3/001
[3] L. Fromme, S. J. Huber and M. Seniuch, “Baryogenesis in the Two-Higgs Doublet Model,” Journal of High Energy Physics, Vol. 2006, No. 11, 2006. doi:10.1088/1126-6708/2006/11/038
[4] M. Carena, G. Nardini, M. Quiros and C. E. M. Wagner, “The Baryogenesis Window in the MSSM,” Nuclear Physics B, Vol. 812, No. 1-2, 2009, pp. 243-263. doi:10.1016/j.nuclphysb.2008.12.014
[5] A. I. Bochkarev and M. E. Shaposhnikov, “Electroweak Production of Baryon Asymmetry and Upper Bounds on the Higgs and Top Masses,” Modern Physics Letters A, Vol. 2, No. 6, 1987, pp. 417-427. doi:10.1142/S0217732387000537
[6] A. Brignole, J. R. Espinosa, M. Quiros and F. Zwirner, “Aspects of the Electroweak Phase Transition in the Minimal Supersymmetric Standard Model,” Physics Letters B, Vol. 324, No. 2, 1994, pp. 181-191. doi:10.1016/0370-2693(94)90405-7
[7] K. Kajantie, M. Laine, K. Rummukainen and M. Shaposhnikov, “The Electroweak Phase Transition: A Non-Perturbative Analysis,” Nuclear Physics B, Vol. 466, No. 1-2, 1996, pp. 189-258. doi:10.1016/0550-3213(96)00052-1
[8] D. J. Gross, R. D. Pisarski and L. G. Yaffe, “QCD and Instantons at Finite Temperature,” Reviews of Modern Physics, Vol. 53, No. 1, 1981, pp. 43-80. doi:10.1103/RevModPhys.53.43
[9] K. Kajantie, M. Laine, K. Rummukainen and M. Shaposhnikov, “Generic Rules for High Temperature Dimensional Reduction and Their Application to the Standard Model,” Nuclear Physics B, Vol. 458, No. 1-2, 1996, pp. 90-136. doi:10.1016/0550-3213(95)00549-8
[10] A. Jakovac, K. Kajantie and A. Patkos, “Hierarchy of Effective Field Theories of Hot Electroweak Matter,” Physical Review D, Vol. 49, No. 12, 1994, pp. 6810-6821. doi:10.1103/PhysRevD.49.6810
[11] M. Laine, “Erratum to ‘Effective Theories of MSSM at High Temperature’ [Nucl. Phys. B, 481 (1996) 43-84],” Nuclear Physics B, Vol. 548, No. 1-3, 1999, pp. 637-638. doi:10.1016/S0550-3213(99)00139-X
[12] G. R. Farrar and M. Losada, “SUSY and the Electroweak Phase Transition,” Physics Letters B, Vol. 406, No. 1-2, 1997, pp. 60-65. doi:10.1016/S0370-2693(97)00663-1 M. Losada, “High Temperature Dimensional Reduction of the MSSM and Other Multiscalar Models,” Physical Review D, Vol. 56, No. 5, 1997, pp. 2893-2913. doi:10.1103/PhysRevD.56.2893
[13] J. M. Cline and K. Kainulainen, “Supersymmetric Electroweak Phase Transition: Beyond Perturbation Theory,” Nuclear Physics B, Vol. 482, No. 1-2, 1996, pp. 73-91. doi:10.1016/S0550-3213(96)00519-6
[14] E. Akhmetzyanova, M. Dolgopolov and M. Dubinin, “Higgs Bosons in the Two-Doublet Model with CP Violation,” Physical Review D, Vol. 71, No. 7, 2005, p. 075008. doi:10.1103/PhysRevD.71.075008
[15] E. Akhmetzyanova, M. Dolgopolov and M. Dubinin, “Violation of CP Invariance in the Two-Doublet Higgs Sector of the MSSM,” Physics of Particles and Nuclei, Vol. 37, No. 5, 2006, pp. 677-734. doi:10.1134/S1063779606050029
[16] J. F. Gunion and H. E. Haber, “The CP Conserving Two-Higgs-Doublet Model: The Approach to the Decoupling Limit,” Physical Review D, Vol. 67, No. 7, 2003, p. 075019.
[17] L. Vergara, “Evaluating One-Loop Integrals at Finite Temperature,” Journal of Physics A, Vol. 30, No. 19, 1997, pp. 6977-6980. doi:10.1088/0305-4470/30/19/031
[18] P. Amore, “One-Loop Integrals at Finite Temperature,” Journal of Physics A, Vol. 38, No. 29, 2005, pp. 6463-6472. doi:10.1088/0305-4470/38/29/003
[19] P. Amore, “Convergence Acceleration of Series through a Variational Approach,” Journal of Mathematical Analysis and Applications, Vol. 323, No. 1, 2006, pp. 63-77.
[20] H. Haber, R. Hempfling and A. H. Hoang, “Approximating the Rradiatively Corrected Higgs Mass in the Minimal Supersymmetric Model,” Zeitschrift für Physik C, Vol. 75, No. 3, 1997, pp. 539-554. doi:10.1007/s002880050498
[21] S. Y. Choi, M. Drees and J. S. Lee, “Loop Corrections to the Neutral Higgs Boson Sector of the MSSM with Explicit CP Violation,” Physics Letters B, Vol. 481, No. 1, 2000, pp. 57-66. doi:10.1016/S0370-2693(00)00421-4
[22] J. C. Collins, “Renormalization,” Cambridge University Press, Cambridge, 1984. doi:10.1017/CBO9780511622656
[23] E. Akhmetzyanova, M. Dolgopolov and M. Dubinin, “Supersymmetric Corrections to the Higgs Sector in the Minimal Supersymmetric Standard Model Featuring Explicit CP Violation,” Physics of Atomic Nuclei, Vol. 70, No. 9, 2007, pp. 1549-1552. doi:10.1134/S1063778807090098
[24] C. Balazs, M. Carena, A. Menon, D. Morrissey and C. E. M. Wagner, “The Supersymmetric Origin of Matter,” Physical Review D, Vol. 71, No. 7, 2005, p. 075002. doi:10.1103/PhysRevD.71.075002
[25] M. Carena, J. Ellis, A. Pilaftsis and C. Wagner, “CP-Violating MSSM Higgs Bosons in the Light of LEP 2,” Physics Letters B, Vol. 495, No. 1-2, 2000, pp. 155-163. doi:10.1016/S0370-2693(00)01215-6
[26] R. Gilmore, “Catastrophe Theory for Scientists and Engineers,” John Wiley & Sons, New York-Chichester- Brisbane-Toronto, 1981.
[27] R. Peccei and H. Quinn, “CP Conservation in the Presence of Pseudoparticles,” Physical Review Letters, Vol. 38, No. 25, 1977, pp. 1440-1443. doi:10.1103/PhysRevLett.38.1440
[28] A. Kusenko, P. Langacker and G. Segre, “Phase Transitions and Vacuum Tunneling into Charge- and ColorBreaking Minima in the MSSM,” Physical Review D, Vol. 54, No. 9, 1996, pp. 5824-5834. doi:10.1103/PhysRevD.54.5824
[29] I. Affleck and M. Dine, “A New Mechanism for Baryogenesis,” Nuclear Physics B, Vol. 249, No. 2, 1985, pp. 361-380. doi:10.1016/0550-3213(85)90021-5
[30] S. Wolfram, “Mathematica (symbolic manipulation package).” http://www.wolfram.com
[31] S. Abdullin, et al. “Summary of the CMS Potential for the Higgs Boson Discovery,” European Physical Journal C, Vol. 39S2, No. 41, 2005, pp. 41-61.
[32] H. Haber, R. Hempfling, “The Renormalization-Group Improved Higgs Sector of the Minimal Supersymmetric Model,” Physical Review D, Vol. 48, No. 9, 1993, pp. 4280-4309. doi:10.1103/PhysRevD.48.4280

Copyright © 2026 by authors and Scientific Research Publishing Inc.

Creative Commons License

This work and the related PDF file are licensed under a Creative Commons Attribution 4.0 International License.