Abstract
We consider the cosmological moduli problem in the context of high-scale supersymmetry breaking suggested by the recent discovery of the standard-model like Higgs boson. In order to solve the notorious moduli-induced gravitino problem, we focus on the LARGE volume scenario, in which the modulus decay into gravitinos can be kinematically forbidden. We then consider the Affleck-Dine mechanism with or without an enhanced coupling with the inflaton, taking account of possible Q-ball formation. We show that the baryon asymmetry of the present Universe can be generated by the Affleck-Dine mechanism in LARGE volume scenario, solving the moduli and gravitino problems. We also find that the overall volume modulus decays into a pair of the axionic superpartners, which contribute to the extra relativistic degrees of freedom.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
ATLAS and CMS collaborations, talks given at CERN on July 4 2012.
ATLAS collaboration, G. Aad et al., Combined search for the Standard Model Higgs boson using up to 4.9 fb −1 of pp collision data at \( \sqrt {s} = 7 \) TeV with the ATLAS detector at the LHC, Phys. Lett. B 710 (2012) 49 [arXiv:1202.1408] [INSPIRE].
CMS collaboration, S. Chatrchyan et al., Search for the standard model Higgs boson decaying into two photons in pp collisions at \( \sqrt {s} = 7 \) TeV, Phys. Lett. B 710 (2012) 403 [arXiv:1202.1487] [INSPIRE].
J. Elias-Miro, J.R. Espinosa, G.F. Giudice, G. Isidori, A. Riotto and A. Strumia, Higgs mass implications on the stability of the electroweak vacuum, Phys. Lett. B 709 (2012) 222 [arXiv:1112.3022] [INSPIRE].
G. Coughlan, W. Fischler, E.W. Kolb, S. Raby and G.G. Ross, Cosmological Problems for the Polonyi Potential, Phys. Lett. B 131 (1983) 59 [INSPIRE].
J.R. Ellis, D.V. Nanopoulos and M. Quirós, On the Axion, Dilaton, Polonyi, Gravitino and Shadow Matter Problems in Supergravity and Superstring Models, Phys. Lett. B 174 (1986) 176 [INSPIRE].
A. Goncharov, A.D. Linde and M. Vysotsky, Cosmological Problems For Spontaneously Broken Supergravity, Phys. Lett. B 147 (1984) 279 [INSPIRE].
M. Endo, K. Hamaguchi and F. Takahashi, Moduli-induced gravitino problem, Phys. Rev. Lett. 96 (2006) 211301 [hep-ph/0602061] [INSPIRE].
S. Nakamura and M. Yamaguchi, Gravitino production from heavy moduli decay and cosmological moduli problem revived, Phys. Lett. B 638 (2006) 389 [hep-ph/0602081] [INSPIRE].
M. Dine, R. Kitano, A. Morisse and Y. Shirman, Moduli decays and gravitinos, Phys. Rev. D 73 (2006) 123518 [hep-ph/0604140] [INSPIRE].
M. Endo, K. Hamaguchi and F. Takahashi, Moduli/Inflaton Mixing with Supersymmetry Breaking Field, Phys. Rev. D 74 (2006) 023531 [hep-ph/0605091] [INSPIRE].
M. Fukugita and T. Yanagida, Baryogenesis Without Grand Unification, Phys. Lett. B 174 (1986) 45 [INSPIRE].
I. Affleck and M. Dine, A New Mechanism for Baryogenesis, Nucl. Phys. B 249 (1985) 361 [INSPIRE].
S.R. Coleman, Q Balls, Nucl. Phys. B 262 (1985) 263 [Erratum ibid. B 269 (1986) 744] [INSPIRE].
A. Kusenko, Solitons in the supersymmetric extensions of the standard model, Phys. Lett. B 405 (1997) 108 [hep-ph/9704273] [INSPIRE].
A. Kusenko and M.E. Shaposhnikov, Supersymmetric Q balls as dark matter, Phys. Lett. B 418 (1998) 46 [hep-ph/9709492] [INSPIRE].
V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications, JHEP 03 (2005) 007 [hep-th/0502058] [INSPIRE].
M. Dine, L. Randall and S.D. Thomas, Supersymmetry breaking in the early universe, Phys. Rev. Lett. 75 (1995) 398 [hep-ph/9503303] [INSPIRE].
M. Dine, L. Randall and S.D. Thomas, Baryogenesis from flat directions of the supersymmetric standard model, Nucl. Phys. B 458 (1996) 291 [hep-ph/9507453] [INSPIRE].
T. Gherghetta, C.F. Kolda and S.P. Martin, Flat directions in the scalar potential of the supersymmetric standard model, Nucl. Phys. B 468 (1996) 37 [hep-ph/9510370] [INSPIRE].
A. Basboll, A Complete and minimal catalogue of MSSM gauge invariant monomials, Int. J. Mod. Phys. A 25 (2010) 3375 [arXiv:0910.0244] [INSPIRE].
K. Enqvist and J. McDonald, Q balls and baryogenesis in the MSSM, Phys. Lett. B 425 (1998) 309 [hep-ph/9711514] [INSPIRE].
K. Enqvist and J. McDonald, B-ball baryogenesis and the baryon to dark matter ratio, Nucl. Phys. B 538 (1999) 321 [hep-ph/9803380] [INSPIRE].
S. Kasuya and M. Kawasaki, Q-Ball formation in the gravity mediated SUSY breaking scenario, Phys. Rev. D 62 (2000) 023512 [hep-ph/0002285] [INSPIRE].
S. Kasuya and M. Kawasaki, Q-ball formation: Obstacle to Affleck-Dine baryogenesis in the gauge mediated SUSY breaking?, Phys. Rev. D 64 (2001) 123515 [hep-ph/0106119] [INSPIRE].
A.G. Cohen, S.R. Coleman, H. Georgi and A. Manohar, The Evaporation Of Q Balls, Nucl. Phys. B 272 (1986) 301 [INSPIRE].
B. Dutta and K. Sinha, Affleck-Dine Baryogenesis in Effective Supergravity, Phys. Rev. D 82 (2010) 095003 [arXiv:1008.0148] [INSPIRE].
D. Marsh, Towards Constraining Affleck-Dine Baryogenesis, JHEP 05 (2012) 041 [arXiv:1108.4687] [INSPIRE].
B. Dutta and K. Sinha, Holomorphic Bisectional Curvatures, Supersymmetry Breaking and Affleck-Dine Baryogenesis, arXiv:1205.6267 [INSPIRE].
J.P. Conlon, R. Kallosh, A.D. Linde and F. Quevedo, Volume Modulus Inflation and the Gravitino Mass Problem, JCAP 09 (2008) 011 [arXiv:0806.0809] [INSPIRE].
S. Kachru, R. Kallosh, A.D. Linde, J.M. Maldacena, L.P. McAllister, and S.P. Trivedi, Towards inflation in string theory, JCAP 10 (2003) 013 [hep-th/0308055] [INSPIRE].
K. Choi and K.S. Jeong, Supersymmetry breaking and moduli stabilization with anomalous U(1) gauge symmetry, JHEP 08 (2006) 007 [hep-th/0605108] [INSPIRE].
F. Brummer, A. Hebecker and M. Trapletti, SUSY breaking mediation by throat fields, Nucl. Phys. B 755 (2006) 186 [hep-th/0605232] [INSPIRE].
H. Abe and Y. Sakamura, Roles of Z(2)-odd N = 1 multiplets in off-shell dimensional reduction of 5D supergravity, Phys. Rev. D 75 (2007) 025018 [hep-th/0610234] [INSPIRE].
H. Abe, T. Higaki, T. Kobayashi and Y. Omura, Dynamically sequestered F-term uplifting in extra dimension, JHEP 04 (2008) 072 [arXiv:0801.0998] [INSPIRE].
P.G. Camara, E. Dudas and E. Palti, Massive wavefunctions, proton decay and FCNCs in local F-theory GUTs, JHEP 12 (2011) 112 [arXiv:1110.2206] [INSPIRE].
E. Dudas and G. von Gersdorff, Universal contributions to scalar masses from five dimensional supergravity, arXiv:1207.0815 [INSPIRE].
J.P. Conlon and E. Palti, On Gauge Threshold Corrections for Local IIB/F-theory GUTs, Phys. Rev. D 80 (2009) 106004 [arXiv:0907.1362] [INSPIRE].
J.P. Conlon, Gauge Threshold Corrections for Local String Models, JHEP 04 (2009) 059 [arXiv:0901.4350] [INSPIRE].
J.P. Conlon and E. Palti, Gauge Threshold Corrections for Local Orientifolds, JHEP 09 (2009) 019 [arXiv:0906.1920] [INSPIRE].
J.P. Conlon, M. Goodsell and E. Palti, One-loop Yukawa Couplings in Local Models, JHEP 11 (2010) 087 [arXiv:1007.5145] [INSPIRE].
I. Antoniadis, C. Bachas and E. Dudas, Gauge couplings in four-dimensional type-I string orbifolds, Nucl. Phys. B 560 (1999) 93 [hep-th/9906039] [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. Blumenhagen, B. Körs, D. Lüst and S. Stieberger, Four-dimensional String Compactifications with D-branes, Orientifolds and Fluxes, Phys. Rept. 445 (2007) 1 [hep-th/0610327] [INSPIRE].
R. Blumenhagen, S. Moster and E. Plauschinn, String GUT Scenarios with Stabilised Moduli, Phys. Rev. D 78 (2008) 066008 [arXiv:0806.2667] [INSPIRE].
J.P. Conlon, F. Quevedo and K. Suruliz, Large-volume flux compactifications: Moduli spectrum and D3/D7 soft supersymmetry breaking, JHEP 08 (2005) 007 [hep-th/0505076] [INSPIRE].
M. Cicoli, J.P. Conlon and F. Quevedo, General Analysis of LARGE Volume Scenarios with String Loop Moduli Stabilisation, JHEP 10 (2008) 105 [arXiv:0805.1029] [INSPIRE].
M. Cicoli, A. Maharana, F. Quevedo and C. Burgess, De Sitter String Vacua from Dilaton-dependent Non-perturbative Effects, JHEP 06 (2012) 011 [arXiv:1203.1750] [INSPIRE].
R. Blumenhagen and M. Schmidt-Sommerfeld, Power Towers of String Instantons for N = 1 Vacua, JHEP 07 (2008) 027 [arXiv:0803.1562] [INSPIRE].
R. Blumenhagen, X. Gao, T. Rahn and P. Shukla, A Note on Poly-Instanton Effects in Type IIB Orientifolds on Calabi-Yau Threefolds, JHEP 06 (2012) 162 [arXiv:1205.2485] [INSPIRE].
M. Cicoli, C. Burgess and F. Quevedo, Anisotropic Modulus Stabilisation: Strings at LHC Scales with Micron-sized Extra Dimensions, JHEP 10 (2011) 119 [arXiv:1105.2107] [INSPIRE].
M. Cicoli, F.G. Pedro and G. Tasinato, Poly-instanton Inflation, JCAP 12 (2011) 022 [arXiv:1110.6182] [INSPIRE].
M. Cicoli, F.G. Pedro and G. Tasinato, Natural Quintessence in String Theory, JCAP 07 (2012) 044 [arXiv:1203.6655] [INSPIRE].
M. Cicoli, M. Goodsell and A. Ringwald, The type IIB string axiverse and its low-energy phenomenology, arXiv:1206.0819 [INSPIRE].
O. DeWolfe, A. Giryavets, S. Kachru and W. Taylor, Enumerating flux vacua with enhanced symmetries, JHEP 02 (2005) 037 [hep-th/0411061] [INSPIRE].
T. Higaki and T. Kobayashi, Note on moduli stabilization, supersymmetry breaking and axiverse, Phys. Rev. D 84 (2011) 045021 [arXiv:1106.1293] [INSPIRE].
K. Choi, A. Falkowski, H.P. Nilles and M. Olechowski, Soft supersymmetry breaking in KKLT flux compactification, Nucl. Phys. B 718 (2005) 113 [hep-th/0503216] [INSPIRE].
A. Saltman and E. Silverstein, The scaling of the no scale potential and de Sitter model building, JHEP 11 (2004) 066 [hep-th/0402135] [INSPIRE].
O. Lebedev, H.P. Nilles and M. Ratz, De Sitter vacua from matter superpotentials, Phys. Lett. B 636 (2006) 126 [hep-th/0603047] [INSPIRE].
E. Dudas, C. Papineau and S. Pokorski, Moduli stabilization and uplifting with dynamically generated F-terms, JHEP 02 (2007) 028 [hep-th/0610297] [INSPIRE].
H. Abe, T. Higaki, T. Kobayashi and Y. Omura, Moduli stabilization, F-term uplifting and soft supersymmetry breaking terms, Phys. Rev. D 75 (2007) 025019 [hep-th/0611024] [INSPIRE].
R. Kallosh and A.D. Linde, O’kklt, JHEP 02 (2007) 002 [hep-th/0611183] [INSPIRE].
H. Abe, T. Higaki and T. Kobayashi, More about F-term uplifting, Phys. Rev. D 76 (2007) 105003 [arXiv:0707.2671] [INSPIRE].
I. Bena, M. Graña, S. Kuperstein and S. Massai, Anti-D3’s - Singular to the Bitter End, arXiv:1206.6369 [INSPIRE].
H. Abe, T. Higaki and T. Kobayashi, Remark on integrating out heavy moduli in flux compactification, Phys. Rev. D 74 (2006) 045012 [hep-th/0606095] [INSPIRE].
R. Blumenhagen, J. Conlon, S. Krippendorf, S. Moster and F. Quevedo, SUSY Breaking in Local String/F-Theory Models, JHEP 09 (2009) 007 [arXiv:0906.3297] [INSPIRE].
J.P. Conlon, D. Cremades and F. Quevedo, Kähler potentials of chiral matter fields for Calabi-Yau string compactifications, JHEP 01 (2007) 022 [hep-th/0609180] [INSPIRE].
J.P. Conlon, S.S. AbdusSalam, F. Quevedo and K. Suruliz, Soft SUSY Breaking Terms for Chiral Matter in IIB String Compactifications, JHEP 01 (2007) 032 [hep-th/0610129] [INSPIRE].
R. Blumenhagen, Gauge Coupling Unification in F-theory Grand Unified Theories, Phys. Rev. Lett. 102 (2009) 071601 [arXiv:0812.0248] [INSPIRE].
K. Choi, H.P. Nilles, C.S. Shin and M. Trapletti, Sparticle Spectrum of Large Volume Compactification, JHEP 02 (2011) 047 [arXiv:1011.0999] [INSPIRE].
J.P. Conlon and F.G. Pedro, Moduli Redefinitions and Moduli Stabilisation, JHEP 06 (2010) 082 [arXiv:1003.0388] [INSPIRE].
A. Brignole, L.E. Ibáñez and C. Muñoz, Soft supersymmetry breaking terms from supergravity and superstring models, hep-ph/9707209 [INSPIRE].
N. Arkani-Hamed and S. Dimopoulos, Supersymmetric unification without low energy supersymmetry and signatures for fine-tuning at the LHC, JHEP 06 (2005) 073 [hep-th/0405159] [INSPIRE].
G. Giudice and A. Romanino, Split supersymmetry, Nucl. Phys. B 699 (2004) 65 [Erratum ibid. B 706 (2005) 65-89] [hep-ph/0406088] [INSPIRE].
H. Abe, T. Higaki and T. Kobayashi, KKLT type models with moduli-mixing superpotential, Phys. Rev. D 73 (2006) 046005 [hep-th/0511160] [INSPIRE].
M. Haack, D. Krefl, D. Lüst, A. Van Proeyen and M. Zagermann, Gaugino Condensates and D-terms from D7-branes, JHEP 01 (2007) 078 [hep-th/0609211] [INSPIRE].
M. Ibe and T.T. Yanagida, The Lightest Higgs Boson Mass in Pure Gravity Mediation Model, Phys. Lett. B 709 (2012) 374 [arXiv:1112.2462] [INSPIRE].
A. Hebecker, A.K. Knochel and T. Weigand, A Shift Symmetry in the Higgs Sector: Experimental Hints and Stringy Realizations, JHEP 06 (2012) 093 [arXiv:1204.2551] [INSPIRE].
R. Kallosh and A.D. Linde, Landscape, the scale of SUSY breaking and inflation, JHEP 12 (2004) 004 [hep-th/0411011] [INSPIRE].
M. Badziak and M. Olechowski, Volume modulus inflation and a low scale of SUSY breaking, JCAP 07 (2008) 021 [arXiv:0802.1014] [INSPIRE].
M. Badziak and M. Olechowski, Volume modulus inflection point inflation and the gravitino mass problem, JCAP 02 (2009) 010 [arXiv:0810.4251] [INSPIRE].
K. Nakayama, F. Takahashi and T.T. Yanagida, On the Adiabatic Solution to the Polonyi/Moduli Problem, Phys. Rev. D 84 (2011) 123523 [arXiv:1109.2073] [INSPIRE].
J.P. Conlon and F. Quevedo, Astrophysical and cosmological implications of large volume string compactifications, JCAP 08 (2007) 019 [arXiv:0705.3460] [INSPIRE].
M. Cicoli and A. Mazumdar, Reheating for Closed String Inflation, JCAP 09 (2010) 025 [arXiv:1005.5076] [INSPIRE].
K. Ichikawa, M. Kawasaki, K. Nakayama, M. Senami and F. Takahashi, Increasing effective number of neutrinos by decaying particles, JCAP 05 (2007) 008 [hep-ph/0703034] [INSPIRE].
K.S. Jeong and F. Takahashi, Light Higgsino from Axion Dark Radiation, JHEP 08 (2012) 017 [arXiv:1201.4816] [INSPIRE].
J. Hisano, S. Matsumoto, M. Nagai, O. Saito and M. Senami, Non-perturbative effect on thermal relic abundance of dark matter, Phys. Lett. B 646 (2007) 34 [hep-ph/0610249] [INSPIRE].
G.F. Giudice, M.A. Luty, H. Murayama and R. Rattazzi, Gaugino mass without singlets, JHEP 12 (1998) 027 [hep-ph/9810442] [INSPIRE].
G. Aldazabal, L.E. Ibáñez, F. Quevedo and A. Uranga, D-branes at singularities: A Bottom up approach to the string embedding of the standard model, JHEP 08 (2000) 002 [hep-th/0005067] [INSPIRE].
J. Cascales, M. Garcia del Moral, F. Quevedo and A. Uranga, Realistic D-brane models on warped throats: Fluxes, hierarchies and moduli stabilization, JHEP 02 (2004) 031 [hep-th/0312051] [INSPIRE].
J.P. Conlon, A. Maharana and F. Quevedo, Towards Realistic String Vacua, JHEP 05 (2009) 109 [arXiv:0810.5660] [INSPIRE].
S. Krippendorf, M.J. Dolan, A. Maharana and F. Quevedo, D-branes at Toric Singularities: Model Building, Yukawa Couplings and Flavour Physics, JHEP 06 (2010) 092 [arXiv:1002.1790] [INSPIRE].
M.J. Dolan, S. Krippendorf and F. Quevedo, Towards a Systematic Construction of Realistic D-brane Models on a del Pezzo Singularity, JHEP 10 (2011) 024 [arXiv:1106.6039] [INSPIRE].
M. Cicoli, S. Krippendorf, C. Mayrhofer, F. Quevedo and R. Valandro, D-Branes at del Pezzo Singularities: Global Embedding and Moduli Stabilisation, arXiv:1206.5237 [INSPIRE].
C.S. Shin, Anomalous U(1) Mediation in Large Volume Compactification, JHEP 01 (2012) 084 [arXiv:1108.5740] [INSPIRE].
N. Arkani-Hamed, A. Delgado and G. Giudice, The well-tempered neutralino, Nucl. Phys. B 741 (2006) 108 [hep-ph/0601041] [INSPIRE].
M. Farina, M. Kadastik, D. Pappadopulo, J. Pata, M. Raidal and A. Strumia, Implications of XENON100 and LHC results for Dark Matter models, Nucl. Phys. B 853 (2011) 607 [arXiv:1104.3572] [INSPIRE].
M. Kawasaki, F. Takahashi and T. Yanagida, Gravitino overproduction in inflaton decay, Phys. Lett. B 638 (2006) 8 [hep-ph/0603265] [INSPIRE].
M. Kawasaki, F. Takahashi and T. Yanagida, The gravitino-overproduction problem in inflationary universe, Phys. Rev. D 74 (2006) 043519 [hep-ph/0605297] [INSPIRE].
T. Asaka, S. Nakamura and M. Yamaguchi, Gravitinos from heavy scalar decay, Phys. Rev. D 74 (2006) 023520 [hep-ph/0604132] [INSPIRE].
M. Endo, F. Takahashi and T. Yanagida, Anomaly-induced inflaton decay and gravitino-overproduction problem, Phys. Lett. B 658 (2008) 236 [hep-ph/0701042] [INSPIRE].
M. Endo, F. Takahashi and T. Yanagida, Inflaton Decay in Supergravity, Phys. Rev. D 76 (2007) 083509 [arXiv:0706.0986] [INSPIRE].
M. Cicoli, M. Goodsell, J. Jaeckel and A. Ringwald, Testing String Vacua in the Lab: From a Hidden CMB to Dark Forces in Flux Compactifications, JHEP 07 (2011) 114 [arXiv:1103.3705] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1207.2771
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 2.0 International License ( https://creativecommons.org/licenses/by/2.0 ), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
About this article
Cite this article
Higaki, T., Kamada, K. & Takahashi, F. Higgs, moduli problem, baryogenesis and large volume compactifications. J. High Energ. Phys. 2012, 43 (2012). https://doi.org/10.1007/JHEP09(2012)043
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP09(2012)043