Gravitino problem in inflation driven by inflaton-Polonyi Kähler coupling. (English) Zbl 1411.83152
Summary: We discuss the cosmological gravitino problem in inflation models in which the inflaton potential is constructed from Kähler potential rather than superpotential: a representative model is \(\overline{\mathrm{D}3}\)-induced geometric inflation. A critical ingredient in this type of models is the coupling of the inflaton and Polonyi (supersymmetry-breaking) field in the Kähler potential, which is needed to build the inflaton potential. We point out the same coupling let the inflaton dominantly decay into a pair of inflatino and gravitino causing the gravitino problem. We propose some possible solutions to this problem.
MSC:
| 83F05 | Relativistic cosmology |
| 83C47 | Methods of quantum field theory in general relativity and gravitational theory |
References:
| [1] | Ade, P. A.R., Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys., 594, A13 (2016) |
| [2] | Moroi, T., Effects of the Gravitino on the Inflationary Universe (1995), Tohoku U., PhD thesis |
| [3] | Jedamzik, K., Did something decay, evaporate, or annihilate during Big Bang nucleosynthesis?, Phys. Rev. D, 70, Article 063524 pp. (2004) |
| [4] | Kawasaki, M.; Kohri, K.; Moroi, T., Hadronic decay of late - decaying particles and Big-Bang Nucleosynthesis, Phys. Lett. B, 625, 7-12 (2005) |
| [5] | Kawasaki, M.; Kohri, K.; Moroi, T., Big-Bang nucleosynthesis and hadronic decay of long-lived massive particles, Phys. Rev. D, 71, Article 083502 pp. (2005) |
| [6] | Jedamzik, K., Big bang nucleosynthesis constraints on hadronically and electromagnetically decaying relic neutral particles, Phys. Rev. D, 74, Article 103509 pp. (2006) |
| [7] | Kawasaki, M.; Kohri, K.; Moroi, T.; Yotsuyanagi, A., Big-Bang nucleosynthesis and gravitino, Phys. Rev. D, 78, Article 065011 pp. (2008) |
| [8] | Kallosh, R.; Linde, A., New models of chaotic inflation in supergravity, J. Cosmol. Astropart. Phys., 1011, Article 011 pp. (2010) |
| [9] | Kallosh, R.; Linde, A.; Rube, T., General inflaton potentials in supergravity, Phys. Rev. D, 83, Article 043507 pp. (2011) |
| [10] | Kawasaki, M.; Yamaguchi, M.; Yanagida, T., Natural chaotic inflation in supergravity, Phys. Rev. Lett., 85, 3572-3575 (2000) |
| [11] | Ketov, S. V.; Terada, T., Generic scalar potentials for inflation in supergravity with a single chiral superfield, J. High Energy Phys., 12, Article 062 pp. (2014) · Zbl 1317.83094 |
| [12] | Ketov, S. V.; Terada, T., Inflation in supergravity with a single chiral superfield, Phys. Lett. B, 736, 272-277 (2014) · Zbl 1317.83094 |
| [13] | Ketov, S. V.; Terada, T., On SUSY restoration in single-superfield inflationary models of supergravity, Eur. Phys. J. C, 76, 8, 438 (2016) |
| [14] | Ferrara, S.; Roest, D., General sGoldstino inflation, J. Cosmol. Astropart. Phys., 1610, 10, Article 038 pp. (2016) |
| [15] | Roest, D.; Scalisi, M., Cosmological attractors from \(α\)-scale supergravity, Phys. Rev. D, 92, Article 043525 pp. (2015) |
| [16] | Linde, A., Single-field \(α\)-attractors, J. Cosmol. Astropart. Phys., 1505, Article 003 pp. (2015) |
| [17] | Dall’Agata, G.; Zwirner, F., On sgoldstino-less supergravity models of inflation, J. High Energy Phys., 12, Article 172 pp. (2014) · Zbl 1333.83227 |
| [18] | Carrasco, J. J.M.; Kallosh, R.; Linde, A., \(α\)-attractors: planck, LHC and dark energy, J. High Energy Phys., 10, Article 147 pp. (2015) · Zbl 1387.83099 |
| [19] | Ferrara, S.; Kallosh, R.; Linde, A., Cosmology with nilpotent superfields, J. High Energy Phys., 10, Article 143 pp. (2014) · Zbl 1333.83268 |
| [20] | Ferrara, S.; Kallosh, R.; Linde, A.; Porrati, M., Minimal supergravity models of inflation, Phys. Rev. D, 88, 8, Article 085038 pp. (2013) |
| [21] | Farakos, F.; Kehagias, A.; Riotto, A., On the Starobinsky model of inflation from supergravity, Nucl. Phys. B, 876, 187-200 (2013) · Zbl 1284.83180 |
| [22] | Binetruy, P.; Dvali, G. R., D term inflation, Phys. Lett. B, 388, 241-246 (1996) |
| [23] | Halyo, E., Hybrid inflation from supergravity D terms, Phys. Lett. B, 387, 43-47 (1996) |
| [24] | McDonough, E.; Scalisi, M., Inflation from nilpotent Kähler corrections, J. Cosmol. Astropart. Phys., 1611, 11, Article 028 pp. (2016) |
| [25] | Kallosh, R.; Linde, A.; Roest, D.; Yamada, Y., \( \overline{D 3}\) induced geometric inflation, J. High Energy Phys., 07, Article 057 pp. (2017) · Zbl 1380.85017 |
| [26] | Khlopov, M. Yu.; Linde, A. D., Is it easy to save the gravitino?, Phys. Lett. B, 138, 265-268 (1984) |
| [27] | Ellis, J. R.; Kim, J. E.; Nanopoulos, D. V., Cosmological gravitino regeneration and decay, Phys. Lett. B, 145, 181-186 (1984) |
| [28] | Antoniadis, I.; Dudas, E.; Ferrara, S.; Sagnotti, A., The Volkov-Akulov-Starobinsky supergravity, Phys. Lett. B, 733, 32-35 (2014) · Zbl 1370.83099 |
| [29] | Kallosh, R.; Linde, A., Inflation and uplifting with nilpotent superfields, J. Cosmol. Astropart. Phys., 1501, Article 025 pp. (2015) |
| [30] | Aoki, S.; Yamada, Y., Inflation in supergravity without Kähler potential, Phys. Rev. D, 90, 12, Article 127701 pp. (2014) |
| [31] | Dall’Agata, G.; Zwirner, F., On sgoldstino-less supergravity models of inflation, J. High Energy Phys., 12, Article 172 pp. (2014) · Zbl 1333.83227 |
| [32] | Kallosh, R.; Linde, A.; Scalisi, M., Inflation, de Sitter landscape and super-higgs effect, J. High Energy Phys., 03, Article 111 pp. (2015) · Zbl 1388.83834 |
| [33] | Scalisi, M., Cosmological \(α\)-attractors and de Sitter landscape, J. High Energy Phys., 12, Article 134 pp. (2015) · Zbl 1387.83136 |
| [34] | Ferrara, S.; Kallosh, R.; Thaler, J., Cosmology with orthogonal nilpotent superfields, Phys. Rev. D, 93, 4, Article 043516 pp. (2016) |
| [35] | Dall’Agata, G.; Farakos, F., Constrained superfields in supergravity, J. High Energy Phys., 02, Article 101 pp. (2016) · Zbl 1388.83783 |
| [36] | Kallosh, R.; Karlsson, A.; Mosk, B.; Murli, D., Orthogonal nilpotent superfields from linear models, J. High Energy Phys., 05, Article 082 pp. (2016) · Zbl 1388.83833 |
| [37] | Dall’Agata, G.; Dudas, E.; Farakos, F., On the origin of constrained superfields, J. High Energy Phys., 05, Article 041 pp. (2016) |
| [38] | Argurio, R.; Coone, D.; Heurtier, L.; Mariotti, A., Sgoldstino-less inflation and low energy SUSY breaking, J. Cosmol. Astropart. Phys., 1707, 07, Article 047 pp. (2017) |
| [39] | Rocek, M., Linearizing the Volkov-Akulov model, Phys. Rev. Lett., 41, 451-453 (1978) |
| [40] | Komargodski, Z.; Seiberg, N., From linear SUSY to constrained superfields, J. High Energy Phys., 09, Article 066 pp. (2009) |
| [41] | Kallosh, R.; Wrase, T., Emergence of spontaneously broken supersymmetry on an anti-D3-brane in KKLT dS vacua, J. High Energy Phys., 12, Article 117 pp. (2014) |
| [42] | Kallosh, R.; Quevedo, F.; Uranga, A. M., String theory realizations of the nilpotent goldstino, J. High Energy Phys., 12, Article 039 pp. (2015) · Zbl 1388.81556 |
| [43] | Kallosh, R.; Linde, A.; Roest, D., Superconformal inflationary \(α\)-attractors, J. High Energy Phys., 11, Article 198 pp. (2013) · Zbl 1342.83485 |
| [44] | Galante, M.; Kallosh, R.; Linde, A.; Roest, D., Unity of cosmological inflation attractors, Phys. Rev. Lett., 114, 14, Article 141302 pp. (2015) |
| [45] | Endo, M.; Hamaguchi, K.; Takahashi, F., Moduli-induced gravitino problem, Phys. Rev. Lett., 96, Article 211301 pp. (2006) |
| [46] | Nakamura, S.; Yamaguchi, M., Gravitino production from heavy moduli decay and cosmological moduli problem revived, Phys. Lett. B, 638, 389-395 (2006) |
| [47] | Asaka, T.; Nakamura, S.; Yamaguchi, M., Gravitinos from heavy scalar decay, Phys. Rev. D, 74, Article 023520 pp. (2006) |
| [48] | Dine, M.; Kitano, R.; Morisse, A.; Shirman, Y., Moduli decays and gravitinos, Phys. Rev. D, 73, Article 123518 pp. (2006) |
| [49] | Endo, M.; Hamaguchi, K.; Takahashi, F., Moduli/inflaton mixing with supersymmetry breaking field, Phys. Rev. D, 74, Article 023531 pp. (2006) |
| [50] | Kawasaki, M.; Takahashi, F.; Yanagida, T. T., The gravitino-overproduction problem in inflationary universe, Phys. Rev. D, 74, Article 043519 pp. (2006) |
| [51] | Endo, M.; Takahashi, F.; Yanagida, T. T., Anomaly-induced inflaton decay and gravitino-overproduction problem, Phys. Lett. B, 658, 236-240 (2008) |
| [52] | Endo, M.; Takahashi, F.; Yanagida, T. T., Inflaton decay in supergravity, Phys. Rev. D, 76, Article 083509 pp. (2007) |
| [53] | Ema, Y.; Mukaida, K.; Nakayama, K.; Terada, T., Nonthermal gravitino production after large field inflation, J. High Energy Phys., 11, Article 184 pp. (2016) · Zbl 1390.83449 |
| [54] | Kallosh, R.; Kofman, L.; Linde, A. D.; Van Proeyen, A., Gravitino production after inflation, Phys. Rev. D, 61, Article 103503 pp. (2000) |
| [55] | Giudice, G. F.; Tkachev, I.; Riotto, A., Nonthermal production of dangerous relics in the early universe, J. High Energy Phys., 08, Article 009 pp. (1999) |
| [56] | Giudice, G. F.; Riotto, A.; Tkachev, I., Thermal and nonthermal production of gravitinos in the early universe, J. High Energy Phys., 11, Article 036 pp. (1999) |
| [57] | Kallosh, R.; Kofman, L.; Linde, A. D.; Van Proeyen, A., Superconformal symmetry, supergravity and cosmology, Class. Quantum Gravity. Class. Quantum Gravity, Class. Quantum Gravity, 21, 5017-4338 (2004), Erratum · Zbl 1060.83532 |
| [58] | Nilles, H. P.; Peloso, M.; Sorbo, L., Nonthermal production of gravitinos and inflatinos, Phys. Rev. Lett., 87, Article 051302 pp. (2001) |
| [59] | Nilles, H. P.; Peloso, M.; Sorbo, L., Coupled fields in external background with application to nonthermal production of gravitinos, J. High Energy Phys., 04, Article 004 pp. (2001) |
| [60] | Ghilencea, D. M., Comments on the nilpotent constraint of the goldstino superfield, Mod. Phys. Lett. A, 31, 12, Article 1630011 pp. (2016) · Zbl 1339.81091 |
| [61] | Dudas, E.; Heurtier, L.; Wieck, C.; Winkler, M. W., UV corrections in Sgoldstino-less inflation, Phys. Lett. B, 759, 121-125 (2016) · Zbl 1367.83094 |
| [62] | Coughlan, G. D.; Fischler, W.; Kolb, E. W.; Raby, S.; Ross, G. G., Cosmological problems for the polonyi potential, Phys. Lett. B, 131, 59-64 (1983) |
| [63] | Banks, T.; Kaplan, D. B.; Nelson, A. E., Cosmological implications of dynamical supersymmetry breaking, Phys. Rev. D, 49, 779-787 (1994) |
| [64] | de Carlos, B.; Casas, J. A.; Quevedo, F.; Roulet, E., Model independent properties and cosmological implications of the dilaton and moduli sectors of 4-d strings, Phys. Lett. B, 318, 447-456 (1993) |
| [65] | Casalbuoni, R.; De Curtis, S.; Dominici, D.; Feruglio, F.; Gatto, R., Phys. Lett. B, 229, 439 (1989), Erratum |
| [66] | Kahn, Y.; Roberts, D. A.; Thaler, J., The goldstone and goldstino of supersymmetric inflation, J. High Energy Phys., 10, Article 001 pp. (2015) · Zbl 1388.83925 |
| [67] | Carrasco, J. J.M.; Kallosh, R.; Linde, A., Minimal supergravity inflation, Phys. Rev. D, 93, 6, Article 061301 pp. (2016) |
| [68] | Delacretaz, L. V.; Gorbenko, V.; Senatore, L., The supersymmetric effective field theory of inflation, J. High Energy Phys., 03, Article 063 pp. (2017) · Zbl 1377.83152 |
| [69] | Ade, P. A.R., Planck 2015 results. XX. Constraints on inflation, Astron. Astrophys., 594, A20 (2016) |
| [70] | Buchmuller, W.; Hamaguchi, K.; Ratz, M.; Yanagida, T., Supergravity at colliders, Phys. Lett. B, 588, 90-98 (2004) |
| [71] | Amin, M. A.; Baumann, D., From wires to cosmology, J. Cosmol. Astropart. Phys., 1602, 02, Article 045 pp. (2016) |
| [72] | Ema, Y.; Jinno, R.; Mukaida, K.; Nakayama, K., Violent preheating in inflation with nonminimal coupling, J. Cosmol. Astropart. Phys., 1702, 02, Article 045 pp. (2017) |
| [73] | Jeong, K. S.; Takahashi, F., A gravitino-rich Universe, J. High Energy Phys., 01, Article 173 pp. (2013) |
| [74] | Benakli, K.; Chen, Y.; Dudas, E.; Mambrini, Y., Minimal model of gravitino dark matter, Phys. Rev. D, 95, 9, Article 095002 pp. (2017) |
| [75] | Dudas, E.; Mambrini, Y.; Olive, K., Case for an EeV gravitino, Phys. Rev. Lett., 119, 5, Article 051801 pp. (2017) |
| [76] | Kachru, S.; Kallosh, R.; Linde, A. D.; Trivedi, S. P., De Sitter vacua in string theory, Phys. Rev. D, 68, Article 046005 pp. (2003) · Zbl 1244.83036 |
| [77] | Balasubramanian, V.; Berglund, P.; Conlon, J. P.; Quevedo, F., Systematics of moduli stabilisation in Calabi-Yau flux compactifications, J. High Energy Phys., 03, Article 007 pp. (2005) |
| [78] | Kallosh, R.; Linde, A. D., Landscape, the scale of SUSY breaking, and inflation, J. High Energy Phys., 12, Article 004 pp. (2004) |
| [79] | Conlon, J. P.; Kallosh, R.; Linde, A. D.; Quevedo, F., Volume modulus inflation and the gravitino mass problem, J. Cosmol. Astropart. Phys., 0809, Article 011 pp. (2008) |
| [80] | Terada, T.; Watanabe, Y.; Yamada, Y.; Yokoyama, J., Reheating processes after Starobinsky inflation in old-minimal supergravity, J. High Energy Phys., 02, Article 105 pp. (2015) · Zbl 1388.83884 |
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.
