Abstract
The production and the final abundance of gravitino dark matter appear to depend crucially on the restoration of the global U(1) R-symmetry of GMSB sectors in a threefold way. An R-symmetric phase effectively suppresses the production of goldstinos from scatterings with the supersymmetric Standard Model particles and it generically initiates the goldstino production from the thermalized messenger particles. In addition, the GMSB spurion gets displaced from the zero temperature minimum and under certain conditions it dominates the energy density of the universe producing late entropy. We show that it is possible to have high enough reheating temperatures that thermal leptogenesis and thermal vacuum selection can be realized without gravitino overproduction. The gravitino dark matter can be produced either thermally or non-thermally. In the former case the messenger scale has to be less than about 106 GeV with the gravitino relatively heavy, m 3/2 ≥ \( \mathcal{O} \)(10) GeV. In the later case, the gravitino is generically produced by the decay of the GMSB spurion field a process that always takes place for large messenger scales. A connection of our results with current collider and observational data is performed.
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References
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
N.J. Craig, P.J. Fox and J.G. Wacker, Reheating Metastable O’Raifeartaigh Models, Phys. Rev. D 75 (2007) 085006 [hep-th/0611006] [INSPIRE].
A. Katz, On the Thermal History of Calculable Gauge Mediation, JHEP 10 (2009) 054 [arXiv:0907.3930] [INSPIRE].
I. Dalianis and Z. Lalak, Cosmological vacuum selection and metastable SUSY breaking, JHEP 12 (2010) 045 [arXiv:1001.4106] [INSPIRE].
I. Dalianis and Z. Lalak, Thermally Favourable Gauge Mediation, Phys. Lett. B 697 (2011) 385 [arXiv:1012.3157] [INSPIRE].
A. Hanken, B. Kain and C. Manning, Extraordinary Gauge Mediation at Finite Temperature, Phys. Rev. D 87 (2013) 125019 [arXiv:1306.3898] [INSPIRE].
Planck collaboration, P. Ade et al., Planck 2013 results. XVI. Cosmological parameters, arXiv:1303.5076 [INSPIRE].
G. Giudice and R. Rattazzi, Theories with gauge mediated supersymmetry breaking, Phys. Rept. 322 (1999) 419 [hep-ph/9801271] [INSPIRE].
A. Boyarsky, J. Lesgourgues, O. Ruchayskiy and M. Viel, Lyman-alpha constraints on warm and on warm-plus-cold dark matter models, JCAP 05 (2009) 012 [arXiv:0812.0010] [INSPIRE].
A.E. Nelson and N. Seiberg, R symmetry breaking versus supersymmetry breaking, Nucl. Phys. B 416 (1994) 46 [hep-ph/9309299] [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].
R. Kitano, Gravitational Gauge Mediation, Phys. Lett. B 641 (2006) 203 [hep-ph/0607090] [INSPIRE].
H. Murayama and Y. Nomura, Gauge Mediation Simplified, Phys. Rev. Lett. 98 (2007) 151803 [hep-ph/0612186] [INSPIRE].
D. Shih, Spontaneous R-symmetry breaking in O’Raifeartaigh models, JHEP 02 (2008) 091 [hep-th/0703196] [INSPIRE].
Z. Lalak, S. Pokorski and K. Turzynski, Gravity in Gauge Mediation, JHEP 10 (2008) 016 [arXiv:0808.0470] [INSPIRE].
Z. Komargodski and D. Shih, Notes on SUSY and R-Symmetry Breaking in Wess-Zumino Models, JHEP 04 (2009) 093 [arXiv:0902.0030] [INSPIRE].
N. Arkani-Hamed, S. Dimopoulos, G. Giudice and A. Romanino, Aspects of split supersymmetry, Nucl. Phys. B 709 (2005) 3 [hep-ph/0409232] [INSPIRE].
I. Dalianis, R-Symmetry and Gravitino Abundance, Phys. Rev. D 85 (2012) 061301 [arXiv:1110.2072] [INSPIRE].
S. Davidson, E. Nardi and Y. Nir, Leptogenesis, Phys. Rept. 466 (2008) 105 [arXiv:0802.2962] [INSPIRE].
P. Draper, P. Meade, M. Reece and D. Shih, Implications of a 125 GeV Higgs for the MSSM and Low-Scale SUSY Breaking, Phys. Rev. D 85 (2012) 095007 [arXiv:1112.3068] [INSPIRE].
N. Craig, S. Knapen, D. Shih and Y. Zhao, A Complete Model of Low-Scale Gauge Mediation, JHEP 03 (2013) 154 [arXiv:1206.4086] [INSPIRE].
J.A. Evans and D. Shih, Surveying Extended GMSB Models with mh = 125 GeV, JHEP 08 (2013) 093 [arXiv:1303.0228] [INSPIRE].
J.R. Ellis, J.E. Kim and D.V. Nanopoulos, Cosmological Gravitino Regeneration and Decay, Phys. Lett. B 145 (1984) 181 [INSPIRE].
T. Moroi, H. Murayama and M. Yamaguchi, Cosmological constraints on the light stable gravitino, Phys. Lett. B 303 (1993) 289 [INSPIRE].
M. Bolz, A. Brandenburg and W. Buchmüller, Thermal production of gravitinos, Nucl. Phys. B 606 (2001) 518 [Erratum ibid. B 790 (2008) 336-337] [hep-ph/0012052] [INSPIRE].
J. Pradler and F.D. Steffen, Thermal gravitino production and collider tests of leptogenesis, Phys. Rev. D 75 (2007) 023509 [hep-ph/0608344] [INSPIRE].
V.S. Rychkov and A. Strumia, Thermal production of gravitinos, Phys. Rev. D 75 (2007) 075011 [hep-ph/0701104] [INSPIRE].
K. Choi, K. Hwang, H.B. Kim and T. Lee, Cosmological gravitino production in gauge mediated supersymmetry breaking models, Phys. Lett. B 467 (1999) 211 [hep-ph/9902291] [INSPIRE].
S. Dimopoulos, G. Giudice and A. Pomarol, Dark matter in theories of gauge mediated supersymmetry breaking, Phys. Lett. B 389 (1996) 37 [hep-ph/9607225] [INSPIRE].
M. Fujii and T. Yanagida, Natural gravitino dark matter and thermal leptogenesis in gauge mediated supersymmetry breaking models, Phys. Lett. B 549 (2002) 273 [hep-ph/0208191] [INSPIRE].
K. Jedamzik, M. Lemoine and G. Moultaka, Gravitino dark matter in gauge mediated supersymmetry breaking, Phys. Rev. D 73 (2006) 043514 [hep-ph/0506129] [INSPIRE].
M. Ibe and R. Kitano, Gauge mediation in supergravity and gravitino dark matter, Phys. Rev. D 75 (2007) 055003 [hep-ph/0611111] [INSPIRE].
K. Hamaguchi, R. Kitano and F. Takahashi, Non-thermal Gravitino Dark Matter in Gauge Mediation, JHEP 09 (2009) 127 [arXiv:0908.0115] [INSPIRE].
H. Fukushima, R. Kitano and F. Takahashi, Cosmologically viable gauge mediation, JHEP 02 (2013) 140 [arXiv:1209.1531] [INSPIRE].
E.W. Kolb and M.S. Turner, The Early universe, Front. Phys. 69 (1990) 1.
V. Mukhanov, Physical foundations of cosmology, Cambridge University Press, Cambridge U.K. (2005).
M. Quirós, Finite temperature field theory and phase transitions, hep-ph/9901312 [INSPIRE].
A.K. Das and M. Kaku, Supersymmetry at high temperatures, Phys. Rev. D 18 (1978) 4540 [INSPIRE].
L. Girardello, M.T. Grisaru and P. Salomonson, Temperature and Supersymmetry, Nucl. Phys. B 178 (1981) 331 [INSPIRE].
D. Boyanovsky, Supersymmetry Breaking at Finite Temperature: The Goldstone Fermion, Phys. Rev. D 29 (1984) 743 [INSPIRE].
H. Aoyama and D. Boyanovsky, Goldstone Fermions in Supersymmetric Theories at Finite Temperature, Phys. Rev. D 30 (1984) 1356 [INSPIRE].
R.G. Leigh and R. Rattazzi, Supersymmetry, finite temperature and gravitino production in the early universe, Phys. Lett. B 352 (1995) 20 [hep-ph/9503402] [INSPIRE].
J. Ellis, D.V. Nanopoulos, K.A. Olive and S.-J. Rey, On the thermal regeneration rate for light gravitinos in the early universe, Astropart. Phys. 4 (1996) 371 [hep-ph/9505438] [INSPIRE].
E. Cremmer, S. Ferrara, L. Girardello and A. Van Proeyen, Yang-Mills Theories with Local Supersymmetry: Lagrangian, Transformation Laws and SuperHiggs Effect, Nucl. Phys. B 212 (1983) 413 [INSPIRE].
M. Drees, R. Godbole and P. Roy, Theory and phenomenology of sparticles: An account of four-dimensional N = 1 supersymmetry in high energy physics, World Scientific, Hackensack U.S.A. (2004).
T. Moroi, Effects of the gravitino on the inflationary universe, hep-ph/9503210 [INSPIRE].
M. Dine, Y. Nir and Y. Shirman, Variations on minimal gauge mediated supersymmetry breaking, Phys. Rev. D 55 (1997) 1501 [hep-ph/9607397] [INSPIRE].
M. Dine, R. Kitano, A. Morisse and Y. Shirman, Moduli decays and gravitinos, Phys. Rev. D 73 (2006) 123518 [hep-ph/0604140] [INSPIRE].
J. Casas, J. Espinosa, M. Quirós and A. Riotto, The Lightest Higgs boson mass in the minimal supersymmetric standard model, Nucl. Phys. B 436 (1995) 3 [Erratum ibid. B 439 (1995) 466-468] [hep-ph/9407389] [INSPIRE].
M.S. Carena, J. Espinosa, M. Quirós and C. Wagner, Analytical expressions for radiatively corrected Higgs masses and couplings in the MSSM, Phys. Lett. B 355 (1995) 209 [hep-ph/9504316] [INSPIRE].
H.E. Haber, R. Hempfling and A.H. Hoang, Approximating the radiatively corrected Higgs mass in the minimal supersymmetric model, Z. Phys. C 75 (1997) 539 [hep-ph/9609331] [INSPIRE].
Z. Lalak and M. Lewicki, Fine-tuning in GGM and the 126 GeV Higgs particle, JHEP 05 (2013) 125 [arXiv:1302.6546] [INSPIRE].
S. Davidson and A. Ibarra, A Lower bound on the right-handed neutrino mass from leptogenesis, Phys. Lett. B 535 (2002) 25 [hep-ph/0202239] [INSPIRE].
L. Roszkowski, S. Trojanowski, K. Turzynski and K. Jedamzik, Gravitino dark matter with constraints from Higgs boson mass and sneutrino decays, JHEP 03 (2013) 013 [arXiv:1212.5587] [INSPIRE].
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Dalianis, I. Gravitino dark matter production at finite temperature. J. High Energ. Phys. 2013, 162 (2013). https://doi.org/10.1007/JHEP11(2013)162
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DOI: https://doi.org/10.1007/JHEP11(2013)162