Singlet Majoron model with hidden scale invariance

Antonio Riotto

doi:10.1103/PhysRevD.49.730

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Singlet Majoron model with hidden scale invariance

Antonio Riotto

International School for Advanced Studies, SISSA, via Beirut 2-4, I-34014 Trieste, Italy
Istituto Nazionale di Fisica Nucleare, Sezione di Padova, 35100 Padova, Italy

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Phys. Rev. D 49, 730 – Published 15 January, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.730

Abstract

We investigate an extension of the singlet Majoron model in which the breaking of dilatation symmetry by the mass parameters of the scalar potential is removed by means of a dilation field. Starting from the one-loop renormalization group improved potential, we discuss the ground state of the theory. The flat direction in the classical potential is lifted by quantum corrections and the true vacua are found. Studying the finite temperature potential, we analyze the cosmological consequences of a Jordan-Brans-Dicke dilaton and show that the lepton number is spontaneously broken after the electroweak phase transition, thus avoiding any constraint coming from the requirement of the preservation of the baryon asymmetry in the early Universe. We also find that, contrary to the standard model case, the dilaton and/or neutrino cosmology do not impose any upper bound on the scale of the spontaneous breaking of scale invariance if the $τ$ neutrino is sufficiently heavy.

References (30)

S. Coleman, in Proceedings of the International Summer School of Physics Ettore Majorana, Erice, Italy, 1971, edited by A. Zichichi (Academic, New York, 1972)
R. D. Peccei, J. Sola, and C. Wetterich, Phys. Lett. B 195, 183 (1987) W. Buchmüller and N. Dragon, ibid. 195, 417 (1987) Nucl. Phys. B321, 207 (1989)
W. Buchmüller and C. Busch, Nucl. Phys. B349, 71 (1991)
P. G. O. Freund, Nucl. Phys. B209, 146 (1982)
E. Witten, Phys. Lett. 155B, 151 (1985)
P. Jordan, Z. Phys. 157, 112 (1959) C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961)
W. Buchmüller and D. Wyler, Phys. Lett. B 249, 458 (1990)
W. Buchmüller and D. Wyler, Phys. Lett. B 249, 281 (1990) K. Enqvist, ibid. 256, 223 (1991)
J. McDonald, Phys. Lett. B 274, 72 (1992)
Y. Chikashige, R. N. Mohapatra, and R. D. Peccei, Phys. Lett. 98B, 265 (1980)
M. Gell-Mann, P. Ramond, and R. Slansky, in Supergravity, Proceedings of the Workshop, Stony Brook, New York, 1979, edited by P. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1979) T. Yanagida, in Proceedings of the Workshop on Unified Theories and Baryon Number in the Universe, Tsukuba, Japan, 1979, edited by A. Sawada and A. Sugamoto (KEK Report No. 79-18, Tsukuba, 1979)
V. A. Kuzmin, V. A. Rubakov, and M. E. Shaposhnikov, Phys. Lett. 155B, 36 (1985) P. Arnold and L. McLerran, Phys. Rev. D 36, 581 (1987) ibid.37, 1020 (1988)
M. Fukugita and T. Yanagida, Phys. Rev. D 42, 1285 (1990) J. Harvey and M. S. Turner, ibid. 42, 3344 (1990) A. Nelson and S. Barr, Phys. Lett. B 246, 141 (1990) B. Campbell, S. Davidson, J. Ellis, and K. Olive, ibid. 256, 457 (1991) W. Fischler, G. F. Giudice, R. G. Leigh, and S. Paban, ibid. 258, 45 (1991)
A. D. Dolgov and Ya. B. Zel'dovich, Rev. Mod. Phys. 53, 1 (1981) E. W. Kolb and M. S. Turner, Mod. Phys. Lett. A 2, 285 (1987)
G. F. Giudice, A. Masiero, M. Pietroni, and A. Riotto, Nucl. Phys. B396, 243 (1993)
G. Gelmini and T. Yanagida, Phys. Lett. B 294, 53 (1992)
J. H. Lowenstein, Phys. Rev. D 4, 2281 (1971) R. Crewther, Phys. Rev. Lett. 28, 1421 (1972) M. S. Chanowitz and J. Ellis, Phys. Lett. 40B, 397 (1972)
S. Coleman and E. W. Weinberg, Phys. Rev. D 7, 1888 (1973)
R. Holman, E. W. Kolb, S. L. Vadas, and Y. Wang, Phys. Rev. D 43, 3833 (1991)
L. Dolan and R. Jackiw, Phys. Rev. D 9, 3320 (1974)
A. D. Linde, Rep. Prog. Phys. 42, 390 (1979)
D. A. Kirzhr its and A. D. Linde, Ann. Phys. (N.Y.) 101, 195 (1976)
K. Enqvist et al., Phys. Rev. D 45, 3415 (1992)
J. Gasser and H. Leutwyler, Phys. Lett. B 184, 83 (1987)
R. A. Flores and M. Sher, Nucl. Phys. B238, 702 (1984)
E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Reading, MA, 1990)
S. Bertolini and G. Steigman, Nucl. Phys. B387, 193 (1992)
T. P. Walker et al., Astrophys. J. 376, 51 (1991)
Y. Kondo, I. Umemura, and K. Yamamoto, Phys. Lett. B 263, 93 (1991) K. Enqvist, K. Kainulainen, and I. Vilja, Nucl. Phys. B403, 749 (1993)
A. D. Dolgov, Phys. Rep. 222, 311 (1992) A. G. Nelson, D. B. Kaplan, and A. E. Nelson, Annu. Rev. Nucl. Part Sci. (to be published)

[c1] S. Coleman, in Proceedings of the International Summer School of Physics Ettore Majorana, Erice, Italy, 1971, edited by A. Zichichi (Academic, New York, 1972)

[c2] R. D. Peccei, J. Sola, and C. Wetterich, Phys. Lett. B 195, 183 (1987) W. Buchmüller and N. Dragon, ibid. 195, 417 (1987) Nucl. Phys. B321, 207 (1989)

[c3] W. Buchmüller and C. Busch, Nucl. Phys. B349, 71 (1991)

[c4] P. G. O. Freund, Nucl. Phys. B209, 146 (1982)

[c5] E. Witten, Phys. Lett. 155B, 151 (1985)

[c6] P. Jordan, Z. Phys. 157, 112 (1959) C. Brans and R. H. Dicke, Phys. Rev. 124, 925 (1961)

[c7] W. Buchmüller and D. Wyler, Phys. Lett. B 249, 458 (1990)

[c8] W. Buchmüller and D. Wyler, Phys. Lett. B 249, 281 (1990) K. Enqvist, ibid. 256, 223 (1991)

[c9] J. McDonald, Phys. Lett. B 274, 72 (1992)

[c10] Y. Chikashige, R. N. Mohapatra, and R. D. Peccei, Phys. Lett. 98B, 265 (1980)

[c11] M. Gell-Mann, P. Ramond, and R. Slansky, in Supergravity, Proceedings of the Workshop, Stony Brook, New York, 1979, edited by P. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1979) T. Yanagida, in Proceedings of the Workshop on Unified Theories and Baryon Number in the Universe, Tsukuba, Japan, 1979, edited by A. Sawada and A. Sugamoto (KEK Report No. 79-18, Tsukuba, 1979)

[c12] V. A. Kuzmin, V. A. Rubakov, and M. E. Shaposhnikov, Phys. Lett. 155B, 36 (1985) P. Arnold and L. McLerran, Phys. Rev. D 36, 581 (1987) ibid.37, 1020 (1988)

[c13] M. Fukugita and T. Yanagida, Phys. Rev. D 42, 1285 (1990) J. Harvey and M. S. Turner, ibid. 42, 3344 (1990) A. Nelson and S. Barr, Phys. Lett. B 246, 141 (1990) B. Campbell, S. Davidson, J. Ellis, and K. Olive, ibid. 256, 457 (1991) W. Fischler, G. F. Giudice, R. G. Leigh, and S. Paban, ibid. 258, 45 (1991)

[c14] A. D. Dolgov and Ya. B. Zel'dovich, Rev. Mod. Phys. 53, 1 (1981) E. W. Kolb and M. S. Turner, Mod. Phys. Lett. A 2, 285 (1987)

[c15] G. F. Giudice, A. Masiero, M. Pietroni, and A. Riotto, Nucl. Phys. B396, 243 (1993)

[c16] G. Gelmini and T. Yanagida, Phys. Lett. B 294, 53 (1992)

[c17] J. H. Lowenstein, Phys. Rev. D 4, 2281 (1971) R. Crewther, Phys. Rev. Lett. 28, 1421 (1972) M. S. Chanowitz and J. Ellis, Phys. Lett. 40B, 397 (1972)

[c18] S. Coleman and E. W. Weinberg, Phys. Rev. D 7, 1888 (1973)

[c19] R. Holman, E. W. Kolb, S. L. Vadas, and Y. Wang, Phys. Rev. D 43, 3833 (1991)

[c20] L. Dolan and R. Jackiw, Phys. Rev. D 9, 3320 (1974)

[c21] A. D. Linde, Rep. Prog. Phys. 42, 390 (1979)

[c22] D. A. Kirzhr its and A. D. Linde, Ann. Phys. (N.Y.) 101, 195 (1976)

[c23] K. Enqvist et al., Phys. Rev. D 45, 3415 (1992)

[c24] J. Gasser and H. Leutwyler, Phys. Lett. B 184, 83 (1987)

[c25] R. A. Flores and M. Sher, Nucl. Phys. B238, 702 (1984)

[c26] E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, Reading, MA, 1990)

[c27] S. Bertolini and G. Steigman, Nucl. Phys. B387, 193 (1992)

[c28] T. P. Walker et al., Astrophys. J. 376, 51 (1991)

[c29] Y. Kondo, I. Umemura, and K. Yamamoto, Phys. Lett. B 263, 93 (1991) K. Enqvist, K. Kainulainen, and I. Vilja, Nucl. Phys. B403, 749 (1993)

[c30] A. D. Dolgov, Phys. Rep. 222, 311 (1992) A. G. Nelson, D. B. Kaplan, and A. E. Nelson, Annu. Rev. Nucl. Part Sci. (to be published)

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Singlet Majoron model with hidden scale invariance

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