Abstract
Large-field inflation is an interesting and predictive scenario. Its non-trivial embedding in supergravity was intensively studied in the recent literature, whereas its interplay with supersymmetry breaking has been less thoroughly investigated. We consider the minimal viable model of chaotic inflation in supergravity containing a stabilizer field, and add a Polonyi field. Furthermore, we study two possible extensions of the minimal setup. We show that there are various constraints: first of all, it is very hard to couple an O’Raifeartaigh sector with the inflaton sector, the simplest viable option being to couple them only through gravity. Second, even in the simplest model the gravitino mass is bounded from above parametrically by the inflaton mass. Therefore, high-scale supersymmetry breaking is hard to implement in a chaotic inflation setup. As a separate comment we analyze the simplest chaotic inflation construction without a stabilizer field, together with a supersymmetrically stabilized Kähler modulus. Without a modulus, the potential of such a model is unbounded from below. We show that a heavy modulus cannot solve this problem.
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References
A.D. Linde, Chaotic Inflation, Phys. Lett. B 129 (1983) 177 [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2013 results. XXII. Constraints on inflation, arXiv:1303.5082 [INSPIRE].
D.H. Lyth, What would we learn by detecting a gravitational wave signal in the cosmic microwave background anisotropy?, Phys. Rev. Lett. 78 (1997) 1861 [hep-ph/9606387] [INSPIRE].
BICEP2 collaboration, P.A.R. Ade et al., Detection of B-Mode Polarization at Degree Angular Scales by BICEP2, Phys. Rev. Lett. 112 (2014) 241101 [arXiv:1403.3985] [INSPIRE].
M. Kawasaki, M. Yamaguchi and T. Yanagida, Natural chaotic inflation in supergravity, Phys. Rev. Lett. 85 (2000) 3572 [hep-ph/0004243] [INSPIRE].
R. Kallosh, A. Linde and T. Rube, General inflaton potentials in supergravity, Phys. Rev. D 83 (2011) 043507 [arXiv:1011.5945] [INSPIRE].
K. Harigaya, M. Ibe, K. Schmitz and T.T. Yanagida, Dynamical Chaotic Inflation in the Light of BICEP2, Phys. Lett. B 733 (2014) 283 [arXiv:1403.4536] [INSPIRE].
K. Harigaya and T.T. Yanagida, Discovery of Large Scale Tensor Mode and Chaotic Inflation in Supergravity, arXiv:1403.4729 [INSPIRE].
S. Ferrara, A. Kehagias and A. Riotto, The Imaginary Starobinsky Model, Fortsch. Phys. 62 (2014) 573 [arXiv:1403.5531] [INSPIRE].
J. Ellis, M.A.G. Garcìa, D.V. Nanopoulos and K.A. Olive, Resurrecting Quadratic Inflation in No-Scale Supergravity in Light of BICEP2, JCAP 05 (2014) 037 [arXiv:1403.7518] [INSPIRE].
T. Li, Z. Li and D.V. Nanopoulos, Chaotic Inflation in No-Scale Supergravity with String Inspired Moduli Stabilization, arXiv:1405.0197 [INSPIRE].
R. Kallosh, A. Linde and A. Westphal, Chaotic Inflation in Supergravity after Planck and BICEP2, Phys. Rev. D 90 (2014) 023534 [arXiv:1405.0270] [INSPIRE].
S.V. Ketov and T. Terada, Inflation in Supergravity with a Single Chiral Superfield, Phys. Lett. B 736 (2014) 272 [arXiv:1406.0252] [INSPIRE].
L.E. Ibáñez and I. Valenzuela, BICEP2, the Higgs Mass and the SUSY-breaking Scale, arXiv:1403.6081 [INSPIRE].
E. Palti and T. Weigand, Towards large r from [p, q]-inflation, JHEP 04 (2014) 155 [arXiv:1403.7507] [INSPIRE].
F. Marchesano, G. Shiu and A.M. Uranga, F-term Axion Monodromy Inflation, arXiv:1404.3040 [INSPIRE].
A. Hebecker, S.C. Kraus and L.T. Witkowski, D7-Brane Chaotic Inflation, Phys. Lett. B 737 (2014) 16 [arXiv:1404.3711] [INSPIRE].
M. Arends et al., D7-Brane Moduli Space in Axion Monodromy and Fluxbrane Inflation, arXiv:1405.0283 [INSPIRE].
S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, de Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [INSPIRE].
R. Kallosh and A.D. Linde, Landscape, the scale of SUSY breaking and inflation, JHEP 12 (2004) 004 [hep-th/0411011] [INSPIRE].
L. O’Raifeartaigh, Spontaneous Symmetry Breaking for Chiral Scalar Superfields, Nucl. Phys. B 96 (1975) 331 [INSPIRE].
J. Polonyi, Generalization of the Massive Scalar Multiplet Coupling to the Supergravity, Hungary Central Inst Res - KFKI-77-93 (77,REC.JUL 78).
R. Kallosh, A. Linde, K.A. Olive and T. Rube, Chaotic inflation and supersymmetry breaking, Phys. Rev. D 84 (2011) 083519 [arXiv:1106.6025] [INSPIRE].
K. Nakayama, F. Takahashi and T.T. Yanagida, Gravitino Problem in Supergravity Chaotic Inflation and SUSY Breaking Scale after BICEP2, Phys. Lett. B 734 (2014) 358 [arXiv:1404.2472] [INSPIRE].
R. Kallosh and A.D. Linde, O’KKLT, JHEP 02 (2007) 002 [hep-th/0611183] [INSPIRE].
L. Álvarez-Gaumé, C. Gomez and R. Jimenez, Minimal Inflation, Phys. Lett. B 690 (2010) 68 [arXiv:1001.0010] [INSPIRE].
L. Álvarez-Gaumé, C. Gomez and R. Jimenez, Phenomenology of the minimal inflation scenario: inflationary trajectories and particle production, JCAP 03 (2012) 017 [arXiv:1110.3984] [INSPIRE].
I. Antoniadis, E. Dudas, S. Ferrara and A. Sagnotti, The Volkov-Akulov-Starobinsky supergravity, Phys. Lett. B 733 (2014) 32 [arXiv:1403.3269] [INSPIRE].
S. Ferrara, A. Kehagias and A. Riotto, The Imaginary Starobinsky Model and Higher Curvature Corrections, arXiv:1405.2353 [INSPIRE].
S.C. Davis and M. Postma, SUGRA chaotic inflation and moduli stabilisation, JCAP 03 (2008) 015 [arXiv:0801.4696] [INSPIRE].
W. Buchmüller, C. Wieck and M.W. Winkler, Supersymmetric Moduli Stabilization and High-Scale Inflation, arXiv:1404.2275 [INSPIRE].
A. Linde, Y. Mambrini and K.A. Olive, Supersymmetry Breaking due to Moduli Stabilization in String Theory, Phys. Rev. D 85 (2012) 066005 [arXiv:1111.1465] [INSPIRE].
E. Dudas, A. Linde, Y. Mambrini, A. Mustafayev and K.A. Olive, Strong moduli stabilization and phenomenology, Eur. Phys. J. C 73 (2013) 2268 [arXiv:1209.0499] [INSPIRE].
R. Kallosh, A. Linde, B. Vercnocke and T. Wrase, Analytic Classes of Metastable de Sitter Vacua, arXiv:1406.4866 [INSPIRE].
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Buchmüller, W., Dudas, E., Heurtier, L. et al. Large-field inflation and supersymmetry breaking. J. High Energ. Phys. 2014, 53 (2014). https://doi.org/10.1007/JHEP09(2014)053
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DOI: https://doi.org/10.1007/JHEP09(2014)053