Abstract
We consider a supersymmetric hybrid inflation model with two inflaton fields. The superpotential during inflation is dominated by W=(κS+κ′S′)M 2, where S, S′ are inflatons carrying the same U(1) R charge, κ, κ′ are dimensionless couplings, and M (∼1015−16 GeV) is a dimensionful parameter associated with a symmetry breaking scale. One light mass eigenstate drives inflation, while the other heavier mass eigenstate is stuck to the origin. The smallness of the lighter inflaton mass for the scalar spectral index n s ≈0.96, which is the center value of WMAP7, can be controlled by the ratio κ′/κ through the supergravity corrections. We also discuss the possibility of the two field inflation and large non-Gaussianity in this setup.
Similar content being viewed by others
References
D.H. Lyth, A. Riotto, Phys. Rep. 314, 1 (1999). arXiv:hep-ph/9807278
E.J. Copeland, A.R. Liddle, D.H. Lyth, E.D. Stewart, D. Wands, Phys. Rev. D 49, 6410 (1994). arXiv:astro-ph/9401011. See also [38]
G.R. Dvali, Q. Shafi, R.K. Schaefer, Phys. Rev. Lett. 73, 1886 (1994). arXiv:hep-ph/9406319
C. Panagiotakopoulos, Phys. Rev. D 55, 7335 (1997). arXiv:hep-ph/9702433
A.D. Linde, A. Riotto, Phys. Rev. D 56, 1841 (1997). arXiv:hep-ph/9703209
C. Panagiotakopoulos, Phys. Lett. B 402, 257 (1997). arXiv:hep-ph/9703443
E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. Ser. 192, 18 (2011). arXiv:1001.4538 [astro-ph.CO]
G.R. Dvali, G. Lazarides, Q. Shafi, Phys. Lett. B 424, 259 (1998). arXiv:hep-ph/9710314
R. Jeannerot, S. Khalil, G. Lazarides, Q. Shafi, J. High Energy Phys. 0010, 012 (2000). arXiv:hep-ph/0002151
B. Kyae, Q. Shafi, Phys. Lett. B 635, 247 (2006). arXiv:hep-ph/0510105
B. Kyae, Q. Shafi, Phys. Rev. D 72, 063515 (2005). arXiv:hep-ph/0504044
L. Boubekeur, D.H. Lyth, J. Cosmol. Astropart. Phys. 0507, 010 (2005). arXiv:hep-ph/0502047
K. Kohri, C.M. Lin, D.H. Lyth, J. Cosmol. Astropart. Phys. 0712, 004 (2007). arXiv:0707.3826 [hep-ph]
M. Bastero-Gil, S.F. King, Q. Shafi, Phys. Lett. B 651, 345 (2007). arXiv:hep-ph/0604198
M.U. Rehman, V.N. Senoguz, Q. Shafi, Phys. Rev. D 75, 043522 (2007). arXiv:hep-ph/0612023
C.M. Lin, K. Cheung, J. Cosmol. Astropart. Phys. 0903, 012 (2009). arXiv:0812.2731 [hep-ph]
C. Pallis, J. Cosmol. Astropart. Phys. 0904, 024 (2009). arXiv:0902.0334 [hep-ph]
M.U. Rehman, Q. Shafi, J.R. Wickman, Phys. Lett. B 683, 191 (2010). arXiv:0908.3896 [hep-ph]
D.H. Lyth, D. Wands, Phys. Lett. B 524, 5 (2002). arXiv:hep-ph/0110002
T. Moroi, T. Takahashi, Phys. Lett. B 522, 215 (2001). Erratum-ibid. B 539 (2002) 303. arXiv:hep-ph/0110096
D.H. Lyth, C. Ungarelli, D. Wands, Phys. Rev. D 67, 023503 (2003). arXiv:astro-ph/0208055
D.H. Lyth, Phys. Lett. B 579, 239 (2004). arXiv:hep-th/0308110
J.M. Maldacena, J. High Energy Phys. 0305, 013 (2003). arXiv:astro-ph/0210603
Z. Lalak, D. Langlois, S. Pokorski, K. Turzynski, J. Cosmol. Astropart. Phys. 0707, 014 (2007). arXiv:0704.0212 [hep-th]
A. Naruko, M. Sasaki, Prog. Theor. Phys. 121, 193 (2009). arXiv:0807.0180 [astro-ph]
C.T. Byrnes, K.Y. Choi, L.M.H. Hall, J. Cosmol. Astropart. Phys. 0902, 017 (2009). arXiv:0812.0807 [astro-ph]
C.T. Byrnes, K.Y. Choi, Adv. Astron. 2010, 724525 (2010). arXiv:1002.3110 [astro-ph.CO]
A.A. Starobinsky, JETP Lett. 42, 152 (1985). Pisma Zh. Eksp. Teor. Fiz. 42, 124 (1985)
M. Sasaki, E.D. Stewart, Prog. Theor. Phys. 95, 71 (1996). arXiv:astro-ph/9507001
M. Sasaki, T. Tanaka, Prog. Theor. Phys. 99, 763 (1998). arXiv:gr-qc/9801017
D.H. Lyth, K.A. Malik, M. Sasaki, J. Cosmol. Astropart. Phys. 0505, 004 (2005). arXiv:astro-ph/0411220
D.H. Lyth, Y. Rodriguez, Phys. Rev. Lett. 95, 121302 (2005). arXiv:astro-ph/0504045
C.T. Byrnes, K.-Y. Choi, L.M.H. Hall, J. Cosmol. Astropart. Phys. 0810, 008 (2008). arXiv:0807.1101 [astro-ph]
K.Y. Choi, L.M.H. Hall, C. van de Bruck, J. Cosmol. Astropart. Phys. 0702, 029 (2007). arXiv:astro-ph/0701247
E.W. Kolb, M.S. Turner, The Early Universe (Addison-Wesley, New York, 1990)
K.Y. Choi, B. Kyae, Phys. Lett. B 706, 243 (2012). arXiv:1109.4245 [astro-ph.CO]
K.Y. Choi, S.A. Kim, B. Kyae, Work in progress
K. Kumekawa, T. Moroi, T. Yanagida, Prog. Theor. Phys. 92, 437 (1994). arXiv:hep-ph/9405337
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
About this article
Cite this article
Kyae, B. Spectral index and non-Gaussianity in supersymmetric hybrid inflation. Eur. Phys. J. C 72, 1857 (2012). https://doi.org/10.1140/epjc/s10052-012-1857-9
Received:
Published:
DOI: https://doi.org/10.1140/epjc/s10052-012-1857-9