Skip to main content
SpringerLink
Log in

Strong moduli stabilization and phenomenology

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal C Aims and scope Submit manuscript

Abstract

We describe the resulting phenomenology of string theory/supergravity models with strong moduli stabilization. The KL model with F-term uplifting, is one such example. Models of this type predict universal scalar masses equal to the gravitino mass. In contrast, A-terms receive highly suppressed gravity mediated contributions. Under certain conditions, the same conclusion is valid for gaugino masses, which like A-terms, are then determined by anomalies. In such models, we are forced to relatively large gravitino masses (30–1000 TeV). We compute the low-energy spectrum as a function of m 3/2. We see that the Higgs masses naturally takes values between 125–130 GeV. The lower limit is obtained from the requirement of chargino masses greater than 104 GeV, while the upper limit is determined by the relic density of dark matter (wino-like).

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3
Fig. 4
Fig. 5
Fig. 6
Fig. 7

Similar content being viewed by others

Notes

  1. In most of the formulas of this letter, M P =1. In some formulas, however, we keep explicitly M P .

  2. If we allow a coupling of the form \(h_{A} = h_{A}^{0} (1 + \beta_{A} e^{-2aT} S)\), we would find a suppression \(m_{1/2} \propto m_{3/2}^{2}/M_{P}\).

  3. A posteriori, we know that for very small A 0/m 0 the requirement for relatively large Higgs masses would lead to the same conclusion regarding large scalar masses, which to control the relic density would also require anomaly mediation for gaugino masses.

  4. The GUT scale, M GUT, is defined as the scale where SU(2) and U(1) gauge couplings unify and is approximately 1.5×1016 GeV.

  5. Note that the upper limit on m 0 can be raised significantly for small λ and large A 0/m 0. Of course in the KL models discussed here, A 0/m 0 is very small.

  6. We note that there is at least a 2–3 GeV uncertainty in the Higgs mass calculation, so that we cannot out of hand exclude results with Higgs masses at 130 GeV.

References

  1. S. Kachru, R. Kallosh, A.D. Linde, S.P. Trivedi, Phys. Rev. D 68, 046005 (2003). arXiv:hep-th/0301240

    Article  MathSciNet  ADS  Google Scholar 

  2. R. Kallosh, A.D. Linde, J. High Energy Phys. 0412, 004 (2004). arXiv:hep-th/0411011

    Article  MathSciNet  ADS  Google Scholar 

  3. J.J. Blanco-Pillado, R. Kallosh, A.D. Linde, J. High Energy Phys. 0605, 053 (2006). arXiv:hep-th/0511042

    Article  MathSciNet  ADS  Google Scholar 

  4. R. Kallosh, A.D. Linde, J. Cosmol. Astropart. Phys. 0704, 017 (2007). arXiv:0704.0647 [hep-th]

    Article  ADS  Google Scholar 

  5. A. Linde, Y. Mambrini, K.A. Olive, Phys. Rev. D 85, 066005 (2012). arXiv:1111.1465 [hep-th]

    Article  ADS  Google Scholar 

  6. G.D. Coughlan, W. Fischler, E.W. Kolb, S. Raby, G.G. Ross, Phys. Lett. B 131, 59 (1983)

    Article  ADS  Google Scholar 

  7. A.S. Goncharov, A.D. Linde, M.I. Vysotsky, Phys. Lett. B 147, 279 (1984)

    Article  ADS  Google Scholar 

  8. T. Banks, D.B. Kaplan, A.E. Nelson, Phys. Rev. D 49, 779–787 (1994)

    Article  ADS  Google Scholar 

  9. G.R. Dvali, arXiv:hep-ph/9503259

  10. M. Dine, L. Randall, S.D. Thomas, Phys. Rev. Lett. 75, 398–401 (1995). arXiv:hep-ph/9503303

    Article  ADS  Google Scholar 

  11. P. Fayet, Talk at the XVIIth Rencontre de Moriond, Ecole Normale Superieure preprint LPTENS 82/10 (1982)

  12. S. Weinberg, Phys. Rev. Lett. 48, 1303 (1982)

    Article  ADS  Google Scholar 

  13. J.R. Ellis, A.D. Linde, D.V. Nanopoulos, Phys. Lett. B 118, 59 (1982)

    Article  ADS  Google Scholar 

  14. L.M. Krauss, Nucl. Phys. B 227, 556 (1983)

    Article  ADS  Google Scholar 

  15. J.R. Ellis, J.S. Hagelin, D.V. Nanopoulos, K.A. Olive, M. Srednicki, Nucl. Phys. B 238, 453 (1984)

    Article  ADS  Google Scholar 

  16. M.Y. Khlopov, A.D. Linde, Phys. Lett. B 138, 265–268 (1984)

    Article  ADS  Google Scholar 

  17. D.V. Nanopoulos, K.A. Olive, M. Srednicki, Phys. Lett. B 127, 30 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  18. R. Kallosh, A. Linde, K.A. Olive, T. Rube, Phys. Rev. D 84, 083519 (2011). arXiv:1106.6025 [hep-th]

    Article  ADS  Google Scholar 

  19. S.C. Davis, M. Postma, J. Cosmol. Astropart. Phys. 0803, 015 (2008). arXiv:0801.4696 [hep-ph]

    Article  ADS  Google Scholar 

  20. R. Kallosh, A. Linde, J. Cosmol. Astropart. Phys. 1011, 011 (2010). arXiv:1008.3375 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  21. R. Kallosh, A. Linde, T. Rube, Phys. Rev. D 83, 043507 (2011). arXiv:1011.5945 [hep-th]

    Article  ADS  Google Scholar 

  22. E. Silverstein, A. Westphal, Phys. Rev. D 78, 106003 (2008). arXiv:0803.3085 [hep-th]

    Article  ADS  Google Scholar 

  23. L. McAllister, E. Silverstein, A. Westphal, Phys. Rev. D 82, 046003 (2010). arXiv:0808.0706 [hep-th]

    Article  ADS  Google Scholar 

  24. N. Arkani-Hamed, S. Dimopoulos, J. High Energy Phys. 0506, 073 (2005). arXiv:hep-th/0405159

    Article  ADS  Google Scholar 

  25. G.F. Giudice, A. Romanino, Nucl. Phys. B 699, 65 (2004) [Erratum: Nucl. Phys. B 706, 65 (2005)]. arXiv:hep-ph/0406088

    Article  ADS  MATH  Google Scholar 

  26. N. Arkani-Hamed, S. Dimopoulos, G.F. Giudice, A. Romanino, Nucl. Phys. B 709, 3 (2005). arXiv:hep-ph/0409232

    Article  MathSciNet  ADS  MATH  Google Scholar 

  27. J.D. Wells, Phys. Rev. D 71, 015013 (2005). arXiv:hep-ph/0411041

    Article  ADS  Google Scholar 

  28. L. Randall, R. Sundrum, Nucl. Phys. B 557, 79 (1999). arXiv:hep-th/9810155

    Article  MathSciNet  ADS  MATH  Google Scholar 

  29. G.F. Giudice, M.A. Luty, H. Murayama, R. Rattazzi, J. High Energy Phys. 9812, 027 (1998). arXiv:hep-ph/9810442

    Article  ADS  Google Scholar 

  30. J.A. Bagger, T. Moroi, E. Poppitz, J. High Energy Phys. 0004, 009 (2000). arXiv:hep-th/9911029

    Article  MathSciNet  ADS  Google Scholar 

  31. P. Binetruy, M.K. Gaillard, B.D. Nelson, Nucl. Phys. B 604, 32 (2001). arXiv:hep-ph/0011081

    Article  MathSciNet  ADS  MATH  Google Scholar 

  32. Joint LEP 2 Supersymmetry Working Group, Combined LEP Chargino Results up to 208 GeV. http://lepsusy.web.cern.ch/lepsusy/www/inos_moriond01/charginos_pub.html

  33. E. Cremmer, B. Julia, J. Scherk, P. van Nieuwenhuizen, S. Ferrara, L. Girardello, Phys. Lett. B 79, 231 (1978)

    Article  ADS  Google Scholar 

  34. E. Cremmer, B. Julia, J. Scherk, S. Ferrara, L. Girardello, P. van Nieuwenhuizen, Nucl. Phys. B 147, 105 (1979)

    Article  ADS  Google Scholar 

  35. E. Cremmer, S. Ferrara, L. Girardello, A. Van Proeyen, Nucl. Phys. B 212, 413 (1983)

    Article  ADS  Google Scholar 

  36. H.P. Nilles, Phys. Rep. 110, 1 (1984)

    Article  ADS  Google Scholar 

  37. A. Brignole, L.E. Ibanez, C. Munoz, in G.L. Kane (ed) Perspectives on Supersymmetry, pp. 125–148. arXiv:hep-ph/9707209

  38. E. Cremmer, S. Ferrara, C. Kounnas, D.V. Nanopoulos, Phys. Lett. B 133, 61 (1983)

    Article  MathSciNet  ADS  Google Scholar 

  39. J.R. Ellis, C. Kounnas, D.V. Nanopoulos, Nucl. Phys. B 247, 373 (1984)

    Article  ADS  Google Scholar 

  40. S.B. Giddings, S. Kachru, J. Polchinski, Phys. Rev. D 66, 106006 (2002). arXiv:hep-th/0105097

    Article  MathSciNet  ADS  Google Scholar 

  41. G.F. Giudice, A. Masiero, Phys. Lett. B 206, 480 (1988)

    Article  ADS  Google Scholar 

  42. K. Choi, A. Falkowski, H.P. Nilles, M. Olechowski, Nucl. Phys. B 718, 113 (2005). arXiv:hep-th/0503216

    Article  MathSciNet  ADS  MATH  Google Scholar 

  43. A. Arbey, M. Battaglia, A. Djouadi, F. Mahmoudi, J. Quevillon, Phys. Lett. B 708, 162 (2012). arXiv:1112.3028 [hep-ph]

    Article  ADS  Google Scholar 

  44. H. Baer, V. Barger, A. Mustafayev, J. High Energy Phys. 1205, 091 (2012). arXiv:1202.4038 [hep-ph]

    Article  ADS  Google Scholar 

  45. O. Lebedev, H.P. Nilles, M. Ratz, Phys. Lett. B 636, 126 (2006). arXiv:hep-th/0603047

    Article  MathSciNet  ADS  MATH  Google Scholar 

  46. M. Gomez-Reino, C.A. Scrucca, J. High Energy Phys. 0605, 015 (2006). arXiv:hep-th/0602246

    Article  MathSciNet  ADS  Google Scholar 

  47. E. Dudas, C. Papineau, S. Pokorski, J. High Energy Phys. 0702, 028 (2007). arXiv:hep-th/0610297

    Article  MathSciNet  ADS  Google Scholar 

  48. H. Abe, T. Higaki, T. Kobayashi, Y. Omura, Phys. Rev. D 75, 025019 (2007). arXiv:hep-th/0611024

    Article  ADS  Google Scholar 

  49. R. Kallosh, A.D. Linde, J. High Energy Phys. 0702, 002 (2007). arXiv:hep-th/0611183

    Article  MathSciNet  ADS  Google Scholar 

  50. H. Abe, T. Higaki, T. Kobayashi, Phys. Rev. D 76, 105003 (2007). arXiv:0707.2671 [hep-th]

    Article  ADS  Google Scholar 

  51. M. Dine, R. Kitano, A. Morisse, Y. Shirman, Phys. Rev. D 73, 123518 (2006). arXiv:hep-ph/0604140

    Article  MathSciNet  ADS  Google Scholar 

  52. R. Kitano, Phys. Lett. B 641, 203 (2006). arXiv:hep-ph/0607090

    Article  ADS  MATH  Google Scholar 

  53. O. Lebedev, V. Lowen, Y. Mambrini, H.P. Nilles, M. Ratz, J. High Energy Phys. 0702, 063 (2007). arXiv:hep-ph/0612035

    Article  MathSciNet  ADS  Google Scholar 

  54. K. Intriligator, N. Seiberg, D. Shih, J. High Energy Phys. 0604, 021 (2006). arXiv:hep-th/0602239

    Article  MathSciNet  ADS  Google Scholar 

  55. M. Cvetic, T. Weigand, arXiv:0807.3953 [hep-th]

  56. J.J. Heckman, J. Marsano, N. Saulina, S. Schafer-Nameki, C. Vafa, arXiv:0808.1286 [hep-th]

  57. J.J. Heckman, C. Vafa, J. High Energy Phys. 0909, 079 (2009). arXiv:0809.1098 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  58. E. Dudas, Y. Mambrini, S. Pokorski, A. Romagnoni, M. Trapletti, J. High Energy Phys. 0903, 011 (2009). arXiv:0809.5064 [hep-th]

    Article  ADS  Google Scholar 

  59. P.G. Camara, C. Condeescu, E. Dudas, M. Lennek, J. High Energy Phys. 1006, 062 (2010). arXiv:1003.5805 [hep-th]

    Article  MathSciNet  ADS  Google Scholar 

  60. R. Barbieri, S. Ferrara, C.A. Savoy, Phys. Lett. B 119, 343 (1982)

    Article  ADS  Google Scholar 

  61. V.S. Kaplunovsky, J. Louis, Phys. Lett. B 306, 269 (1993). arXiv:hep-th/9303040

    Article  ADS  Google Scholar 

  62. A. Brignole, L.E. Ibanez, C. Munoz, Nucl. Phys. B 422, 125 (1994) [Erratum: Nucl. Phys. B 436, 747 (1995)]. arXiv:hep-ph/9308271

    Article  ADS  Google Scholar 

  63. S. Ferrara, C. Kounnas, F. Zwirner, Nucl. Phys. B 429, 589 (1994) [Erratum: Nucl. Phys. B 433, 255 (1995)]. arXiv:hep-th/9405188

    Article  MathSciNet  ADS  MATH  Google Scholar 

  64. E. Dudas, S.K. Vempati, Nucl. Phys. B 727, 139 (2005). arXiv:hep-th/0506172

    Article  MathSciNet  ADS  MATH  Google Scholar 

  65. M. Drees, M.M. Nojiri, Phys. Rev. D 47, 376 (1993). arXiv:hep-ph/9207234

    Article  ADS  Google Scholar 

  66. H. Baer, M. Brhlik, Phys. Rev. D 53, 597 (1996). arXiv:hep-ph/9508321

    Article  ADS  Google Scholar 

  67. H. Baer, M. Brhlik, Phys. Rev. D 57, 567 (1998). arXiv:hep-ph/9706509

    Article  ADS  Google Scholar 

  68. H. Baer, M. Brhlik, M.A. Diaz, J. Ferrandis, P. Mercadante, P. Quintana, X. Tata, Phys. Rev. D 63, 015007 (2001). arXiv:hep-ph/0005027

    Article  ADS  Google Scholar 

  69. G.L. Kane, C.F. Kolda, L. Roszkowski, J.D. Wells, Phys. Rev. D 49, 6173 (1994). arXiv:hep-ph/9312272

    Article  ADS  Google Scholar 

  70. J.R. Ellis, T. Falk, K.A. Olive, M. Schmitt, Phys. Lett. B 388, 97 (1996). arXiv:hep-ph/9607292

    Article  ADS  Google Scholar 

  71. J.R. Ellis, T. Falk, K.A. Olive, M. Schmitt, Phys. Lett. B 413, 355 (1997). arXiv:hep-ph/9705444

    Article  ADS  Google Scholar 

  72. J.R. Ellis, T. Falk, G. Ganis, K.A. Olive, M. Schmitt, Phys. Rev. D 58, 095002 (1998). arXiv:hep-ph/9801445

    Article  ADS  Google Scholar 

  73. V.D. Barger, C. Kao, Phys. Rev. D 57, 3131 (1998). arXiv:hep-ph/9704403

    Article  ADS  Google Scholar 

  74. J.R. Ellis, T. Falk, G. Ganis, K.A. Olive, Phys. Rev. D 62, 075010 (2000). arXiv:hep-ph/0004169

    Article  ADS  Google Scholar 

  75. J.R. Ellis, T. Falk, G. Ganis, K.A. Olive, M. Srednicki, Phys. Lett. B 510, 236 (2001). arXiv:hep-ph/0102098

    Article  ADS  Google Scholar 

  76. V.D. Barger, C. Kao, Phys. Lett. B 518, 117 (2001). arXiv:hep-ph/0106189

    Article  ADS  Google Scholar 

  77. L. Roszkowski, R. Ruiz de Austri, T. Nihei, J. High Energy Phys. 0108, 024 (2001). arXiv:hep-ph/0106334

    Article  ADS  Google Scholar 

  78. A. Djouadi, M. Drees, J.L. Kneur, J. High Energy Phys. 0108, 055 (2001). arXiv:hep-ph/0107316

    Article  ADS  Google Scholar 

  79. U. Chattopadhyay, A. Corsetti, P. Nath, Phys. Rev. D 66, 035003 (2002). arXiv:hep-ph/0201001

    Article  ADS  Google Scholar 

  80. J.R. Ellis, K.A. Olive, Y. Santoso, New J. Phys. 4, 32 (2002). arXiv:hep-ph/0202110

    Article  MathSciNet  ADS  Google Scholar 

  81. H. Baer, C. Balazs, A. Belyaev, J.K. Mizukoshi, X. Tata, Y. Wang, J. High Energy Phys. 0207, 050 (2002). arXiv:hep-ph/0205325

    Article  MathSciNet  ADS  Google Scholar 

  82. R. Arnowitt, B. Dutta, arXiv:hep-ph/0211417

  83. J.R. Ellis, K.A. Olive, Y. Santoso, V.C. Spanos, Phys. Lett. B 565, 176 (2003). arXiv:hep-ph/0303043

    Article  ADS  Google Scholar 

  84. H. Baer, C. Balazs, J. Cosmol. Astropart. Phys. 0305, 006 (2003). arXiv:hep-ph/0303114

    Article  ADS  Google Scholar 

  85. A.B. Lahanas, D.V. Nanopoulos, Phys. Lett. B 568, 55 (2003). arXiv:hep-ph/0303130

    Article  ADS  Google Scholar 

  86. U. Chattopadhyay, A. Corsetti, P. Nath, Phys. Rev. D 68, 035005 (2003). arXiv:hep-ph/0303201

    Article  ADS  Google Scholar 

  87. C. Munoz, Int. J. Mod. Phys. A 19, 3093 (2004). arXiv:hep-ph/0309346

    Article  ADS  Google Scholar 

  88. R. Arnowitt, B. Dutta, B. Hu, arXiv:hep-ph/0310103

  89. J. Ellis, K.A. Olive, arXiv:1001.3651 [astro-ph.CO]

  90. R. Arnowitt, P. Nath, Phys. Rev. D 46, 3981 (1992)

    Article  ADS  Google Scholar 

  91. V.D. Barger, M.S. Berger, P. Ohmann, Phys. Rev. D 49, 4908 (1994). arXiv:hep-ph/9311269

    Article  ADS  Google Scholar 

  92. W. de Boer, R. Ehret, D.I. Kazakov, Z. Phys. C 67, 647 (1995). arXiv:hep-ph/9405342

    Article  ADS  Google Scholar 

  93. D.M. Pierce, J.A. Bagger, K.T. Matchev, R.J. Zhang, Nucl. Phys. B 491, 3 (1997). arXiv:hep-ph/9606211

    Article  ADS  Google Scholar 

  94. M. Carena, J.R. Ellis, A. Pilaftsis, C.E. Wagner, Nucl. Phys. B 625, 345 (2002). arXiv:hep-ph/0111245

    Article  ADS  Google Scholar 

  95. J.R. Ellis, K.A. Olive, Y. Santoso, V.C. Spanos, Phys. Lett. B 573, 162 (2003). arXiv:hep-ph/0305212

    Article  ADS  MATH  Google Scholar 

  96. J.R. Ellis, K.A. Olive, Y. Santoso, V.C. Spanos, Phys. Rev. D 70, 055005 (2004). arXiv:hep-ph/0405110

    Article  ADS  Google Scholar 

  97. E. Dudas, Y. Mambrini, A. Mustafayev, K.A. Olive, arXiv:1205.5988 [hep-ph]

  98. J.L. Feng, K.T. Matchev, T. Moroi, Phys. Rev. Lett. 84, 2322 (2000). arXiv:hep-ph/9908309

    Article  ADS  Google Scholar 

  99. J.L. Feng, K.T. Matchev, T. Moroi, Phys. Rev. D 61, 075005 (2000). arXiv:hep-ph/9909334

    Article  ADS  Google Scholar 

  100. J.L. Feng, K.T. Matchev, F. Wilczek, Phys. Lett. B 482, 388 (2000). arXiv:hep-ph/0004043

    Article  ADS  Google Scholar 

  101. J.R. Ellis, K.A. Olive, P. Sandick, Phys. Lett. B 642, 389 (2006). arXiv:hep-ph/0607002

    Article  ADS  MATH  Google Scholar 

  102. J.R. Ellis, K.A. Olive, P. Sandick, J. High Energy Phys. 0706, 079 (2007). arXiv:0704.3446 [hep-ph]

    Article  ADS  Google Scholar 

  103. J.R. Ellis, K.A. Olive, P. Sandick, J. High Energy Phys. 0808, 013 (2008). arXiv:0801.1651 [hep-ph]

    Article  ADS  Google Scholar 

  104. K. Choi, K.S. Jeong, K.i. Okumura, J. High Energy Phys. 0509, 039 (2005). arXiv:hep-ph/0504037

    Article  MathSciNet  ADS  Google Scholar 

  105. M. Endo, M. Yamaguchi, K. Yoshioka, Phys. Rev. D 72, 015004 (2005). arXiv:hep-ph/0504036

    Article  ADS  Google Scholar 

  106. A. Falkowski, O. Lebedev, Y. Mambrini, J. High Energy Phys. 0511, 034 (2005). arXiv:hep-ph/0507110

    Article  MathSciNet  ADS  Google Scholar 

  107. R. Kitano, Y. Nomura, Phys. Lett. B 631, 58 (2005). arXiv:hep-ph/0509039

    Article  ADS  Google Scholar 

  108. R. Kitano, Y. Nomura, Phys. Rev. D 73, 095004 (2006). arXiv:hep-ph/0602096

    Article  ADS  Google Scholar 

  109. A. Pierce, J. Thaler, J. High Energy Phys. 0609, 017 (2006). arXiv:hep-ph/0604192

    Article  ADS  Google Scholar 

  110. K. Kawagoe, M.M. Nojiri, arXiv:hep-ph/0606104

  111. H. Baer, E.-K. Park, X. Tata, T.T. Wang, J. High Energy Phys. 0608, 041 (2006). arXiv:hep-ph/0604253

    ADS  Google Scholar 

  112. K. Choi, K.Y. Lee, Y. Shimizu, Y.G. Kim, K.i. Okumura, J. Cosmol. Astropart. Phys. 0612, 017 (2006). arXiv:hep-ph/0609132

    Article  ADS  Google Scholar 

  113. J. Ellis, A. Mustafayev, K.A. Olive, Eur. Phys. J. C 69, 201 (2010). arXiv:1003.3677 [hep-ph]

    Article  ADS  Google Scholar 

  114. L. Calibbi, Y. Mambrini, S.K. Vempati, J. High Energy Phys. 0709, 081 (2007). arXiv:0704.3518 [hep-ph]

    Article  MathSciNet  ADS  Google Scholar 

  115. L. Calibbi, A. Faccia, A. Masiero, S.K. Vempati, Phys. Rev. D 74, 116002 (2006). arXiv:hep-ph/0605139

    Article  ADS  Google Scholar 

  116. E. Carquin, J. Ellis, M.E. Gomez, S. Lola, J. Rodriguez-Quintero, J. High Energy Phys. 0905, 026 (2009). arXiv:0812.4243 [hep-ph]

    Article  ADS  Google Scholar 

  117. N. Polonsky, A. Pomarol, Phys. Rev. Lett. 73, 2292 (1994). arXiv:hep-ph/9406224

    Article  ADS  Google Scholar 

  118. N. Polonsky, A. Pomarol, Phys. Rev. D 51, 6532 (1995). arXiv:hep-ph/9410231

    Article  ADS  Google Scholar 

  119. J. Ellis, A. Mustafayev, K.A. Olive, Eur. Phys. J. C 71, 1689 (2011). arXiv:1103.5140 [hep-ph]

    Article  ADS  Google Scholar 

  120. H. Baer, M.A. Diaz, P. Quintana, X. Tata, J. High Energy Phys. 0004, 016 (2000). arXiv:hep-ph/0002245

    Article  ADS  Google Scholar 

  121. P. Moxhay, K. Yamamoto, Nucl. Phys. B 256, 130 (1985)

    Article  ADS  Google Scholar 

  122. K. Grassie, Phys. Lett. B 159, 32 (1985)

    Article  ADS  Google Scholar 

  123. B. Gato, Nucl. Phys. B 278, 189 (1986)

    Article  ADS  Google Scholar 

  124. R. Barbieri, L.J. Hall, Phys. Lett. B 338, 212 (1994). arXiv:hep-ph/9408406

    Article  ADS  Google Scholar 

  125. Y. Kawamura, H. Murayama, M. Yamaguchi, Phys. Rev. D 51, 1337 (1995). arXiv:hep-ph/9406245

    Article  ADS  Google Scholar 

  126. H. Murayama, M. Olechowski, S. Pokorski, Phys. Lett. B 371, 57 (1996). arXiv:hep-ph/9510327

    Article  ADS  Google Scholar 

  127. G. Senjanovic, AIP Conf. Proc. 1200, 131 (2010). arXiv:0912.5375 [hep-ph]

    Article  ADS  Google Scholar 

  128. J. Ellis, A. Mustafayev, K.A. Olive, Eur. Phys. J. C 69, 219 (2010). arXiv:1004.5399 [hep-ph]

    Article  ADS  Google Scholar 

  129. F. Borzumati, T. Yamashita, Prog. Theor. Phys. 124, 761 (2010). arXiv:0903.2793 [hep-ph]

    Article  ADS  MATH  Google Scholar 

  130. N. Bernal, A. Djouadi, P. Slavich, J. High Energy Phys. 0707, 016 (2007). arXiv:0705.1496 [hep-ph]

    Article  ADS  Google Scholar 

  131. G.F. Giudice, A. Strumia, Nucl. Phys. B 858, 63 (2012). arXiv:1108.6077 [hep-ph]

    Article  ADS  MATH  Google Scholar 

  132. ATLAS and CMS Collaborations, https://cdsweb.cern.ch/record/1399607/files/HIG-11-023-pas.pdf

  133. ATLAS Collaboration, Phys. Lett. B 710, 49 (2012). arXiv:1202.1408 [hep-ex]

    Article  ADS  Google Scholar 

  134. ATLAS Collaboration, Phys. Rev. Lett. 108, 111803 (2012). arXiv:1202.1414 [hep-ex]

    Article  ADS  Google Scholar 

  135. ATLAS Collaboration, Phys. Lett. B 710, 383 (2012). arXiv:1202.1415 [hep-ex]

    Article  ADS  Google Scholar 

  136. ATLAS Collaboration, arXiv:1202.1636 [hep-ex]

  137. CMS Collaboration, J. High Energy Phys. 1204, 036 (2012). arXiv:1202.1416 [hep-ex]

    ADS  Google Scholar 

  138. CMS Collaboration, Phys. Lett. B 710, 403 (2012). arXiv:1202.1487 [hep-ex]

    Article  ADS  Google Scholar 

  139. CMS Collaboration, Phys. Lett. B 710, 26 (2012). arXiv:1202.1488 [hep-ex]

    Article  ADS  Google Scholar 

  140. CMS Collaboration, Phys. Lett. B 710, 91 (2012). arXiv:1202.1489 [hep-ex]

    Article  ADS  Google Scholar 

  141. CMS Collaboration, arXiv:1202.1997 [hep-ex]

  142. ATLAS Collaboration, http://cdsweb.cern.ch/record/1472710/files/ATLAS-CONF-2012-109.pdf

  143. M.E. Cabrera, J.A. Casas, A. Delgado, Phys. Rev. Lett. 108, 021802 (2012). arXiv:1108.3867 [hep-ph]

    Article  ADS  Google Scholar 

  144. M. Toharia, J.D. Wells, J. High Energy Phys. 0602, 015 (2006). arXiv:hep-ph/0503175

    Article  ADS  Google Scholar 

  145. P. Gambino, G.F. Giudice, P. Slavich, Nucl. Phys. B 726, 35 (2005). arXiv:hep-ph/0506214

    Article  ADS  MATH  Google Scholar 

  146. D.S.M. Alves, E. Izaguirre, J.G. Wacker, arXiv:1108.3390 [hep-ph]

  147. R. Sato, S. Shirai, K. Tobioka, arXiv:1207.3608 [hep-ph]

  148. H. Baer, X. Tata, J. Woodside, Phys. Rev. D 41, 906 (1990)

    Article  ADS  Google Scholar 

  149. H. Baer, X. Tata, J. Woodside, Phys. Rev. D 42, 1568 (1990)

    Article  ADS  Google Scholar 

  150. H. Baer, V. Barger, G. Shaughnessy, H. Summy, L.-T. Wang, Phys. Rev. D 75, 095010 (2007). arXiv:hep-ph/0703289

    Article  ADS  Google Scholar 

  151. S. Asai, T. Moroi, K. Nishihara, T.T. Yanagida, arXiv:0705.3086 [hep-ph]

  152. I. Hinchliffe, F. Paige, M. Shapiro, J. Söderqvist, W. Yao, Phys. Rev. D 55, 5520 (1997)

    Article  ADS  Google Scholar 

  153. T. Gherghetta, G.F. Giudice, J.D. Wells, Nucl. Phys. B 559, 27 (1999). arXiv:hep-ph/9904378

    Article  ADS  Google Scholar 

  154. S. Asai, T. Moroi, T.T. Yanagida, Phys. Lett. B 664, 185 (2008). arXiv:0802.3725 [hep-ph]

    Article  ADS  Google Scholar 

  155. H. Baer, J.K. Mizukoshi, X. Tata, Phys. Lett. B 488, 367 (2000). arXiv:hep-ph/0007073

    Article  ADS  Google Scholar 

  156. A.J. Barr, C.G. Lester, M.A. Parker, B.C. Allanach, P. Richardson, J. High Energy Phys. 0303, 045 (2003). arXiv:hep-ph/0208214

    Article  ADS  Google Scholar 

  157. E. Komatsu et al. (WMAP Collaboration), Astrophys. J. Suppl. Ser. 192, 18 (2011). arXiv:1001.4538 [astro-ph.CO]

    Article  ADS  Google Scholar 

  158. L.F. Abbott, P. Sikivie, Phys. Lett. B 120, 133 (1983)

    Article  ADS  Google Scholar 

  159. J. Preskill, M.B. Wise, F. Wilczek, Phys. Lett. B 120, 127 (1983)

    Article  ADS  Google Scholar 

  160. M. Dine, W. Fischler, Phys. Lett. B 120, 137 (1983)

    Article  ADS  Google Scholar 

  161. A.D. Linde, Phys. Lett. B 201, 437 (1988)

    Article  ADS  Google Scholar 

  162. A.D. Linde, Phys. Lett. B 259, 38 (1991)

    Article  ADS  Google Scholar 

  163. M. Tegmark, A. Aguirre, M. Rees, F. Wilczek, Phys. Rev. D 73, 023505 (2006). astro-ph/0511774

    Article  ADS  Google Scholar 

  164. B. Freivogel, J. Cosmol. Astropart. Phys. 1003, 021 (2010). arXiv:0810.0703 [hep-th]

    Article  ADS  Google Scholar 

  165. A. Arvanitaki, S. Dimopoulos, S. Dubovsky, N. Kaloper, J. March-Russell, Phys. Rev. D 81, 123530 (2010). arXiv:0905.4720 [hep-th]

    Article  ADS  Google Scholar 

  166. T. Moroi, M. Yamaguchi, T. Yanagida, Phys. Lett. B 342, 105 (1995). arXiv:hep-ph/9409367

    Article  ADS  Google Scholar 

  167. M. Kawasaki, T. Moroi, T. Yanagida, Phys. Lett. B 370, 52 (1996). arXiv:hep-ph/9509399

    Article  ADS  Google Scholar 

  168. T. Nagano, M. Yamaguchi, Phys. Lett. B 438, 267 (1998). arXiv:hep-ph/9805204

    Article  ADS  Google Scholar 

  169. T. Moroi, L. Randall, Nucl. Phys. B 570, 455 (2000). arXiv:hep-ph/9906527

    Article  ADS  Google Scholar 

  170. J. Kaplan, J. High Energy Phys. 0610, 065 (2006). arXiv:hep-ph/0601262

    Article  ADS  Google Scholar 

  171. B.S. Acharya, G. Kane, S. Watson, P. Kumar, Phys. Rev. D 80, 083529 (2009). arXiv:0908.2430 [astro-ph.CO]

    Article  ADS  Google Scholar 

  172. A.D. Linde, Phys. Rev. D 53, 4129 (1996). arXiv:hep-th/9601083

    Article  MathSciNet  ADS  Google Scholar 

  173. K. Nakayama, F. Takahashi, T.T. Yanagida, Phys. Lett. B 714, 256 (2012). arXiv:1203.2085 [hep-ph]

    Article  ADS  Google Scholar 

  174. J.R. Ellis, J.E. Kim, D.V. Nanopoulos, Phys. Lett. B 145, 181 (1984)

    Article  ADS  Google Scholar 

  175. M. Kawasaki, T. Moroi, Prog. Theor. Phys. 93, 879 (1995). arXiv:hep-ph/9403364

    Article  ADS  Google Scholar 

  176. J.R. Ellis, D.V. Nanopoulos, K.A. Olive, S.J. Rey, Astropart. Phys. 4, 371 (1996). arXiv:hep-ph/9505438

    Article  ADS  Google Scholar 

  177. M. Bolz, A. Brandenburg, W. Buchmuller, Nucl. Phys. B 606, 518 (2001). arXiv:hep-ph/0012052

    Article  ADS  Google Scholar 

  178. R. Juszkiewicz, J. Silk, A. Stebbins, Phys. Lett. B 158, 463 (1985)

    Article  ADS  Google Scholar 

  179. M. Kawasaki, K. Sato, Phys. Lett. B 189, 23 (1987)

    Article  ADS  Google Scholar 

  180. T. Moroi, H. Murayama, M. Yamaguchi, Phys. Lett. B 303, 289 (1993)

    Article  ADS  Google Scholar 

  181. T. Moroi, arXiv:hep-ph/9503210

  182. J. Pradler, F.D. Steffen, Phys. Lett. B 648, 224 (2007). arXiv:hep-ph/0612291

    Article  ADS  Google Scholar 

  183. K. Kohri, T. Moroi, A. Yotsuyanagi, Phys. Rev. D 73, 123511 (2006). arXiv:hep-ph/0507245

    Article  ADS  Google Scholar 

  184. M. Endo, K. Kadota, K.A. Olive, F. Takahashi, T.T. Yanagida, J. Cosmol. Astropart. Phys. 0702, 018 (2007). arXiv:hep-ph/0612263

    Article  MathSciNet  ADS  Google Scholar 

  185. J.J. Blanco-Pillado, C.P. Burgess, J.M. Cline, C. Escoda, M. Gomez-Reino, R. Kallosh, A.D. Linde, F. Quevedo, J. High Energy Phys. 0411, 063 (2004). arXiv:hep-th/0406230

    Article  MathSciNet  ADS  Google Scholar 

  186. N. Barnaby, M. Peloso, Phys. Rev. Lett. 106, 181301 (2011). arXiv:1011.1500 [hep-ph]

    Article  ADS  Google Scholar 

  187. N. Barnaby, R. Namba, M. Peloso, J. Cosmol. Astropart. Phys. 1104, 009 (2011). arXiv:1102.4333 [astro-ph.CO]

    Article  ADS  Google Scholar 

  188. N. Barnaby, R. Namba, M. Peloso, arXiv:1202.1469 [astro-ph.CO]

  189. N. Barnaby, E. Pajer, M. Peloso, Phys. Rev. D 85, 023525 (2012). arXiv:1110.3327 [astro-ph.CO]

    Article  ADS  Google Scholar 

  190. P.D. Meerburg, E. Pajer, arXiv:1203.6076 [astro-ph.CO]

  191. E. Aprile (XENON1T Collaboration), arXiv:1206.6288 [astro-ph.IM]

  192. M. Ackermann et al. (Fermi-LAT Collaboration), Phys. Rev. Lett. 107, 241302 (2011). arXiv:1108.3546 [astro-ph.HE]

    Article  ADS  Google Scholar 

  193. A.A. Abdo, M. Ackermann, M. Ajello, W.B. Atwood, L. Baldini, J. Ballet, G. Barbiellini, D. Bastieri et al., Astrophys. J. 712, 147 (2010). arXiv:1001.4531 [astro-ph.CO]

    Article  ADS  Google Scholar 

  194. M. Ibe, T.T. Yanagida, Phys. Lett. B 709, 374 (2012). arXiv:1112.2462 [hep-ph]

    Article  ADS  Google Scholar 

  195. M. Ibe, S. Matsumoto, T.T. Yanagida, Phys. Rev. D 85, 095011 (2012). arXiv:1202.2253 [hep-ph]

    Article  ADS  Google Scholar 

  196. B. Bhattacherjee, B. Feldstein, M. Ibe, S. Matsumoto, T.T. Yanagida, arXiv:1207.5453 [hep-ph]

  197. B.S. Acharya, G. Kane, P. Kumar, Int. J. Mod. Phys. A 27, 1230012 (2012). arXiv:1204.2795 [hep-ph]

    Article  MathSciNet  ADS  Google Scholar 

Download references

Acknowledgements

We are very grateful to M. Arvanitaki, S. Dimopoulos, T. Gherghetta, P. Graham, R. Kallosh, J. March-Russell and X. Tata for many interesting discussions and suggestions. The work of E.D. was supported in part by the ERC Advanced Investigator Grant No. 226371 “Mass Hierarchy and Particle Physics at the TeV Scale” (MassTeV) and by the contract PITN-GA-2009-237920. The work of E.D. and Y.M. was supported in part by the French ANR TAPDMS ANR-09-JCJC-0146. The work by A.L. was supported by NSF grant PHY-0756174 at Stanford University. The work of A.M. and K.A.O. is supported in part by DOE grant DE-FG02-94ER-40823 at the University of Minnesota. The work of A.M. is also supported in part by DOE grant DE-FG02-04ER-41291 at the University of Hawaii.

Author information

Authors and Affiliations

  1. Department of Physics, Theory Division, 1211, Geneva 23, Switzerland

    Emilian Dudas

  2. CPhT, Ecole Polytechnique, 91128, Palaiseau, France

    Emilian Dudas

  3. Laboratoire de Physique Théorique, Université Paris-Sud, 91405, Orsay, France

    Emilian Dudas & Yann Mambrini

  4. Stanford Institute of Theoretical Physics and Department of Physics, Stanford University, Stanford, CA, 94305, USA

    Andrei Linde

  5. William I. Fine Theoretical Physics Institute, School of Physics and Astronomy, University of Minnesota, Minneapolis, MN, 55455, USA

    Azar Mustafayev & Keith A. Olive

  6. Department of Physics and Astronomy, University of Hawaii, Honolulu, HI, 96822, USA

    Azar Mustafayev

Authors
  1. Emilian Dudas
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Andrei Linde
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Yann Mambrini
    View author publications

    You can also search for this author in PubMed Google Scholar

  4. Azar Mustafayev
    View author publications

    You can also search for this author in PubMed Google Scholar

  5. Keith A. Olive
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Keith A. Olive.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Dudas, E., Linde, A., Mambrini, Y. et al. Strong moduli stabilization and phenomenology. Eur. Phys. J. C 73, 2268 (2013). https://doi.org/10.1140/epjc/s10052-012-2268-7

Download citation

  • Received:

  • Revised:

  • Published:

  • DOI: https://doi.org/10.1140/epjc/s10052-012-2268-7

Keywords

Search

Navigation