Non-minimal quartic inflation in supersymmetric \(\mathrm {SO}(10)\). (English) Zbl 1369.83111
Summary: We describe how quartic \((\lambda \phi^4)\) inflation with non-minimal coupling to gravity is realized in realistic supersymmetric \(\mathrm{SO}(10)\) models. In a well-motivated example the \(16 - \overline{16}\) Higgs multiplets, which break \(\mathrm{SO}(10)\) to \(\mathrm{SU}(5)\) and yield masses for the right-handed neutrinos, provide the inflaton field \(\phi\). Thus, leptogenesis is a natural outcome in this class of \(\mathrm{SO}(10)\) models. Moreover, the adjoint (45-plet) Higgs also acquires a GUT scale value during inflation so that the monopole problem is evaded. The scalar spectral index \(n_s\) is in good agreement with the observations and \(r\), the tensor to scalar ratio, is predicted for realistic values of GUT parameters to be of order \(10^{-3} - 10^{-2}\).
MSC:
| 83F05 | Relativistic cosmology |
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
| 81T60 | Supersymmetric field theories in quantum mechanics |
| 81V22 | Unified quantum theories |
References:
| [1] | Pati, J. C.; Salam, A., Phys. Rev. D, 11, 703 (1975), (Erratum) |
| [2] | Fritzsch, H.; Minkowski, P., Ann. Phys., 93, 193 (1975) |
| [3] | Lazarides, G.; Shafi, Q., Phys. Lett. B, 258, 305 (1991) |
| [4] | Shafi, Q.; Vilenkin, A., Phys. Rev. Lett., 52, 691 (1984) |
| [5] | Coleman, S. R.; Weinberg, E. J., Phys. Rev. D, 7, 1888 (1973) |
| [6] | Shafi, Q.; Senoguz, V. N., Phys. Rev. D, 73, Article 127301 pp. (2006) |
| [7] | Senoguz, V. N.; Shafi, Q., Phys. Lett. B, 752, 169 (2016) |
| [8] | Pallis, C.; Toumbas, N. |
| [9] | Okada, N.; Rehman, M. U.; Shafi, Q., Phys. Rev. D, 82, Article 043502 pp. (2010) |
| [10] | Ade, P. A.R., Astron. Astrophys., 594, Article A13 pp. (2016) |
| [11] | Hinshaw, G., Astrophys. J. Suppl., 208, 19 (2013) |
| [12] | Arai, M.; Kawai, S.; Okada, N., Phys. Rev. D, 84, Article 123515 pp. (2011) |
| [13] | Chang, D.; Fukuyama, T.; Keum, Y. Y.; Kikuchi, T.; Okada, N., Phys. Rev. D, 71, Article 095002 pp. (2005) |
| [14] | Ferrara, S.; Kallosh, R.; Linde, A.; Marrani, A.; Van Proeyen, A., Phys. Rev. D, 83, Article 025008 pp. (2011) |
| [15] | Kugo, T.; Uehara, S., Prog. Theor. Phys., 73, 235 (1985) · Zbl 0979.83532 |
| [16] | Ellis, J. R.; Kim, J. E.; Nanopoulos, D. V., Phys. Lett. B, 145, 181 (1984) |
| [17] | Kawasaki, M.; Kohri, K.; Moroi, T.; Yotsuyanagi, A., Phys. Rev. D, 78, Article 065011 pp. (2008) |
| [18] | Fukugita, M.; Yanagida, T., Phys. Lett. B, 174, 45 (1986) |
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