Abstract
We propose a new construction of the supergravity inflation as an UV completion of the Higgs-R2 inflation. In the dual description of R2-supergravity, we show that there appear dual chiral superfields containing the scalaron or sigma field in the Starobinsky inflation, which unitarizes the supersymmetric Higgs inflation with a large non-minimal coupling up to the Planck scale. We find that a successful slow-roll inflation is achievable in the Higgs-sigma field space, but under the condition that higher curvature terms are introduced to cure the tachyonic mass problems for spectator singlet scalar fields. We also discuss supersymmetry breaking and its transmission to the visible sector as a result of the couplings of the dual chiral superfields and the non-minimal gravity coupling of the Higgs fields.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
Planck collaboration, Planck 2018 results. X. Constraints on inflation, Astron. Astrophys. 641 (2020) A10 [arXiv:1807.06211] [INSPIRE].
F.L. Bezrukov and M. Shaposhnikov, The Standard Model Higgs boson as the inflaton, Phys. Lett. B 659 (2008) 703 [arXiv:0710.3755] [INSPIRE].
A.A. Starobinsky, A New Type of Isotropic Cosmological Models Without Singularity, Phys. Lett. B 91 (1980) 99 [INSPIRE].
V.F. Mukhanov and G.V. Chibisov, Quantum Fluctuations and a Nonsingular Universe, JETP Lett. 33 (1981) 532 [INSPIRE].
A.A. Starobinsky, The Perturbation Spectrum Evolving from a Nonsingular Initially De-Sitter Cosmology and the Microwave Background Anisotropy, Sov. Astron. Lett. 9 (1983) 302 [INSPIRE].
C.P. Burgess, H.M. Lee and M. Trott, Power-counting and the Validity of the Classical Approximation During Inflation, JHEP 09 (2009) 103 [arXiv:0902.4465] [INSPIRE].
J.L.F. Barbón and J.R. Espinosa, On the Naturalness of Higgs Inflation, Phys. Rev. D 79 (2009) 081302 [arXiv:0903.0355] [INSPIRE].
C.P. Burgess, H.M. Lee and M. Trott, Comment on Higgs Inflation and Naturalness, JHEP 07 (2010) 007 [arXiv:1002.2730] [INSPIRE].
M.P. Hertzberg, On Inflation with Non-minimal Coupling, JHEP 11 (2010) 023 [arXiv:1002.2995] [INSPIRE].
G.F. Giudice and H.M. Lee, Unitarizing Higgs Inflation, Phys. Lett. B 694 (2011) 294 [arXiv:1010.1417] [INSPIRE].
J. Elias-Miro, J.R. Espinosa, G.F. Giudice, H.M. Lee and A. Strumia, Stabilization of the Electroweak Vacuum by a Scalar Threshold Effect, JHEP 06 (2012) 031 [arXiv:1203.0237] [INSPIRE].
H.M. Lee, Running inflation with unitary Higgs, Phys. Lett. B 722 (2013) 198 [arXiv:1301.1787] [INSPIRE].
G.F. Giudice and H.M. Lee, Starobinsky-like inflation from induced gravity, Phys. Lett. B 733 (2014) 58 [arXiv:1402.2129] [INSPIRE].
H.M. Lee, Chaotic inflation and unitarity problem, Eur. Phys. J. C 74 (2014) 3022 [arXiv:1403.5602] [INSPIRE].
H.M. Lee, Light inflaton completing Higgs inflation, Phys. Rev. D 98 (2018) 015020 [arXiv:1802.06174] [INSPIRE].
S.-M. Choi, Y.-J. Kang, H.M. Lee and K. Yamashita, Unitary inflaton as decaying dark matter, JHEP 05 (2019) 060 [arXiv:1902.03781] [INSPIRE].
C. Pallis, Unitarity-Safe Models of Non-Minimal Inflation in Supergravity, Eur. Phys. J. C 78 (2018) 1014 [arXiv:1807.01154] [INSPIRE].
C. Pallis, Unitarizing non-Minimal Inflation via a Linear Contribution to the Frame Function, Phys. Lett. B 789 (2019) 243 [arXiv:1809.10667] [INSPIRE].
A. Salvio and A. Mazumdar, Classical and Quantum Initial Conditions for Higgs Inflation, Phys. Lett. B 750 (2015) 194 [arXiv:1506.07520] [INSPIRE].
A. Salvio, Solving the Standard Model Problems in Softened Gravity, Phys. Rev. D 94 (2016) 096007 [arXiv:1608.01194] [INSPIRE].
Y. Ema, Higgs Scalaron Mixed Inflation, Phys. Lett. B 770 (2017) 403 [arXiv:1701.07665] [INSPIRE].
D. Gorbunov and A. Tokareva, Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-dilaton inflations, Phys. Lett. B 788 (2019) 37 [arXiv:1807.02392] [INSPIRE].
M. He, R. Jinno, K. Kamada, S.C. Park, A.A. Starobinsky and J. Yokoyama, On the violent preheating in the mixed Higgs-R2 inflationary model, Phys. Lett. B 791 (2019) 36 [arXiv:1812.10099] [INSPIRE].
D.Y. Cheong, H.M. Lee and S.C. Park, Beyond the Starobinsky model for inflation, Phys. Lett. B 805 (2020) 135453 [arXiv:2002.07981] [INSPIRE].
Y. Ema, K. Mukaida and J. van de Vis, Higgs inflation as nonlinear sigma model and scalaron as its σ-meson, JHEP 11 (2020) 011 [arXiv:2002.11739] [INSPIRE].
Y. Ema, K. Mukaida and J. Van De Vis, Renormalization group equations of Higgs-R2 inflation, JHEP 02 (2021) 109 [arXiv:2008.01096] [INSPIRE].
H.M. Lee and A.G. Menkara, Cosmology of linear Higgs-sigma models with conformal invariance, JHEP 09 (2021) 018 [arXiv:2104.10390] [INSPIRE].
M.B. Einhorn and D.R.T. Jones, Inflation with Non-minimal Gravitational Couplings in Supergravity, JHEP 03 (2010) 026 [arXiv:0912.2718] [INSPIRE].
S. Ferrara, R. Kallosh, A. Linde, A. Marrani and A. Van Proeyen, Jordan Frame Supergravity and Inflation in NMSSM, Phys. Rev. D 82 (2010) 045003 [arXiv:1004.0712] [INSPIRE].
H.M. Lee, Chaotic inflation in Jordan frame supergravity, JCAP 08 (2010) 003 [arXiv:1005.2735] [INSPIRE].
S. Ferrara, R. Kallosh, A. Linde, A. Marrani and A. Van Proeyen, Superconformal Symmetry, NMSSM, and Inflation, Phys. Rev. D 83 (2011) 025008 [arXiv:1008.2942] [INSPIRE].
M. Yamaguchi and J. Yokoyama, New inflation in supergravity with a chaotic initial condition, Phys. Rev. D 63 (2001) 043506 [hep-ph/0007021] [INSPIRE].
R. Kitano, Gravitational Gauge Mediation, Phys. Lett. B 641 (2006) 203 [hep-ph/0607090] [INSPIRE].
R. Kallosh and A.D. Linde, O’KKLT, JHEP 02 (2007) 002 [hep-th/0611183] [INSPIRE].
S. Cecotti, Higher derivative supergravity is equivalent to standard supergravity coupled to matter. 1, Phys. Lett. B 190 (1987) 86 [INSPIRE].
S.V. Ketov and A.A. Starobinsky, Embedding (R + R2)-Inflation into Supergravity, Phys. Rev. D 83 (2011) 063512 [arXiv:1011.0240] [INSPIRE].
S.V. Ketov, Supergravity and Early Universe: the Meeting Point of Cosmology and High-Energy Physics, Int. J. Mod. Phys. A 28 (2013) 1330021 [arXiv:1201.2239] [INSPIRE].
S.V. Ketov and A.A. Starobinsky, Inflation and non-minimal scalar-curvature coupling in gravity and supergravity, JCAP 08 (2012) 022 [arXiv:1203.0805] [INSPIRE].
R. Kallosh and A. Linde, Superconformal generalizations of the Starobinsky model, JCAP 06 (2013) 028 [arXiv:1306.3214] [INSPIRE].
F. Farakos, A. Kehagias and A. Riotto, On the Starobinsky Model of Inflation from Supergravity, Nucl. Phys. B 876 (2013) 187 [arXiv:1307.1137] [INSPIRE].
S. Ferrara, R. Kallosh and A. Van Proeyen, On the Supersymmetric Completion of R + R2 Gravity and Cosmology, JHEP 11 (2013) 134 [arXiv:1309.4052] [INSPIRE].
M. Kaku, P.K. Townsend and P. van Nieuwenhuizen, Properties of Conformal Supergravity, Phys. Rev. D 17 (1978) 3179 [INSPIRE].
M. Kaku and P.K. Townsend, Poincaré Supergravity As Broken Superconformal Gravity, Phys. Lett. B 76 (1978) 54 [INSPIRE].
P.K. Townsend and P. van Nieuwenhuizen, Simplifications of Conformal Supergravity, Phys. Rev. D 19 (1979) 3166 [INSPIRE].
T. Kugo and S. Uehara, Conformal and Poincaré Tensor Calculi in N = 1 Supergravity, Nucl. Phys. B 226 (1983) 49 [INSPIRE].
T. Kugo and S. Uehara, N = 1 Superconformal Tensor Calculus: Multiplets With External Lorentz Indices and Spinor Derivative Operators, Prog. Theor. Phys. 73 (1985) 235 [INSPIRE].
D.Z. Freedman and A. Van Proeyen, Supergravity, Cambridge University Press, Cambridge (2012) [INSPIRE].
S. Cecotti and R. Kallosh, Cosmological Attractor Models and Higher Curvature Supergravity, JHEP 05 (2014) 114 [arXiv:1403.2932] [INSPIRE].
T. Terada, Y. Watanabe, Y. Yamada and J. Yokoyama, Reheating processes after Starobinsky inflation in old-minimal supergravity, JHEP 02 (2015) 105 [arXiv:1411.6746] [INSPIRE].
M. He, Perturbative Reheating in the Mixed Higgs-R2 Model, JCAP 05 (2021) 021 [arXiv:2010.11717] [INSPIRE].
R. Kallosh and A. Linde, New models of chaotic inflation in supergravity, JCAP 11 (2010) 011 [arXiv:1008.3375] [INSPIRE].
R. Kallosh, A. Linde and T. Rube, General inflaton potentials in supergravity, Phys. Rev. D 83 (2011) 043507 [arXiv:1011.5945] [INSPIRE].
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].
I. Dalianis, F. Farakos, A. Kehagias, A. Riotto and R. von Unge, Supersymmetry Breaking and Inflation from Higher Curvature Supergravity, JHEP 01 (2015) 043 [arXiv:1409.8299] [INSPIRE].
K.A. Intriligator, N. Seiberg and D. Shih, Supersymmetry breaking, R-symmetry breaking and metastable vacua, JHEP 07 (2007) 017 [hep-th/0703281] [INSPIRE].
D. Shih, Spontaneous R-symmetry breaking in O’Raifeartaigh models, JHEP 02 (2008) 091 [hep-th/0703196] [INSPIRE].
G.F. Giudice and A. Masiero, A Natural Solution to the mu Problem in Supergravity Theories, Phys. Lett. B 206 (1988) 480 [INSPIRE].
L. Randall and R. Sundrum, Out of this world supersymmetry breaking, Nucl. Phys. B 557 (1999) 79 [hep-th/9810155] [INSPIRE].
G.F. Giudice, M.A. Luty, H. Murayama and R. Rattazzi, Gaugino mass without singlets, JHEP 12 (1998) 027 [hep-ph/9810442] [INSPIRE].
A. Falkowski, H.M. Lee and C. Lüdeling, Gravity mediated supersymmetry breaking in six dimensions, JHEP 10 (2005) 090 [hep-th/0504091] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2108.00222
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Aoki, S., Lee, H.M. & Menkara, A.G. Inflation and supersymmetry breaking in Higgs-R2 supergravity. J. High Energ. Phys. 2021, 178 (2021). https://doi.org/10.1007/JHEP10(2021)178
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2021)178