Abstract
We discuss the effective interactions of axion supermultiplet, which might be important for analyzing the cosmological aspect of supersymmetric axion model. Related to axino cosmology, it is stressed that three seemingly similar but basically different quantities, the Wilsonian axino-gluino-gluon coupling, the 1PI axino-gluino-gluon amplitude, and the PQ anomaly coefficient, should be carefully distinguished from each other for correct analysis of the thermal production of axinos in the early Universe. It is then noticed that the 1PI axino-gluino-gluon amplitude at energy scale p in the range M Φ < p < v PQ is suppressed by M 2Φ /p 2 in addition to the well-known suppression by p/16π 2 v PQ, where M Φ is the mass of the heaviest PQ-charged and gauge-charged matter supermultiplet in the model, which can be well below the PQ scale v PQ. As a result, axino production at temperature T > M Φ is dominated by the production by matter supermultiplet, not by the production by gauge supermultiplet. Still the axino production rate is greatly reduced if M Φ ≪ v PQ, which would make the subsequent cosmology significantly altered. This would be most notable in the supersymmetric DFSZ model in which M Φ corresponds to the Higgsino mass which is around the weak scale, however a similar reduction is possible in the KSVZ model also. We evaluate the relic axino density for both the DFSZ and KSVZ models while including the axino production in the processes involving the heaviest PQ-charged and gauge-charged matter supermultiplet.
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References
H.P. Nilles, Supersymmetry, supergravity and particle physics, Phys. Rept. 110 (1984) 1 [SPIRES].
H.E. Haber and G.L. Kane, The search for supersymmetry: probing physics beyond the standard model, Phys. Rept. 117 (1985) 75 [SPIRES].
S.P. Martin, A supersymmetry primer, hep-ph/9709356 [SPIRES].
R.D. Peccei and H.R. Quinn, CP conservation in the presence of instantons, Phys. Rev. Lett. 38 (1977) 1440 [SPIRES].
R.D. Peccei and H.R. Quinn, Constraints imposed by CP conservation in the presence of instantons, Phys. Rev. D 16 (1977) 1791 [SPIRES].
S. Weinberg, A new light boson?, Phys. Rev. Lett. 40 (1978) 223 [SPIRES].
F. Wilczek, Problem of strong p and t invariance in the presence of instantons, Phys. Rev. Lett. 40 (1978) 279 [SPIRES].
J.E. Kim and G. Carosi, Axions and the strong CP problem, Rev. Mod. Phys. 82 (2010) 557 [arXiv:0807.3125] [SPIRES].
H.P. Nilles and S. Raby, Supersymmetry and the strong CP problem, Nucl. Phys. B 198 (1982) 102 [SPIRES].
J.E. Kim and H.P. Nilles, The mu problem and the strong CP problem, Phys. Lett. B 138 (1984) 150 [SPIRES].
J.E. Kim, A common scale for the invisible axion, local susy GUTs and saxino decay, Phys. Lett. B 136 (1984) 378 [SPIRES].
WMAP collaboration, D.N. Spergel et al., First year Wilkinson microwave anisotropy probe (WMAP) observations: determination of cosmological parameters, Astrophys. J. Suppl. 148 (2003) 175 [astro-ph/0302209] [SPIRES].
S.A. Bonometto, F. Gabbiani and A. Masiero, A monochromatic axino dominated universe, Phys. Lett. B 222 (1989) 433 [SPIRES].
K. Rajagopal, M.S. Turner and F. Wilczek, Cosmological implications of axinos, Nucl. Phys. B 358 (1991) 447 [SPIRES].
L. Covi, J.E. Kim and L. Roszkowski, Axinos as cold dark matter, Phys. Rev. Lett. 82 (1999) 4180 [hep-ph/9905212] [SPIRES].
L. Covi, H.-B. Kim, J.E. Kim and L. Roszkowski, Axinos as dark matter, JHEP 05 (2001) 033 [hep-ph/0101009] [SPIRES].
L. Covi and J.E. Kim, Axinos as dark matter particles, New J. Phys. 11 (2009) 105003 [arXiv:0902.0769] [SPIRES].
F.D. Steffen, Dark matter candidates — axions, neutralinos, gravitinos and axinos, Eur. Phys. J. C 59 (2009) 557 [arXiv:0811.3347] [SPIRES].
L. Covi, H.-B. Kim, J.E. Kim and L. Roszkowski, Axinos as dark matter, JHEP 05 (2001) 033 [hep-ph/0101009] [SPIRES].
L. Covi, L. Roszkowski and M. Small, Effects of squark processes on the axino CDM abundance, JHEP 07 (2002) 023 [hep-ph/0206119] [SPIRES].
A. Brandenburg and F.D. Steffen, Axino dark matter from thermal production, JCAP 08 (2004) 008 [hep-ph/0405158] [SPIRES].
A. Strumia, Thermal production of axino dark matter, JHEP 06 (2010) 036 [arXiv:1003.5847] [SPIRES].
H.-B. Kim and J.E. Kim, Late decaying axino as CDM and its lifetime bound, Phys. Lett. B 527 (2002) 18 [hep-ph/0108101] [SPIRES].
H.B. Kim and J.E. Kim, Dark matter and structure formation with late decaying particles, Nucl. Phys. B 433 (1995) 421 [hep-ph/9405385] [SPIRES].
E.J. Chun, H.B. Kim and J.E. Kim, Dark matters in axino gravitino cosmology, Phys. Rev. Lett. 72 (1994) 1956 [hep-ph/9305208] [SPIRES].
E.J. Chun, Dark matter in the Kim-Nilles mechanism, arXiv:1104.2219 [SPIRES].
C. Cheung, G. Elor and L.J. Hall, The cosmological axino problem, arXiv:1104.0692 [SPIRES].
A. Freitas, F.D. Steffen, N. Tajuddin and D. Wyler, Upper limits on the Peccei-Quinn scale and on the reheating temperature in axino dark matter scenarios, Phys. Lett. B 679 (2009) 270 [arXiv:0904.3218] [SPIRES].
A. Freitas, F.D. Steffen, N. Tajuddin and D. Wyler, Late energy injection and cosmological constraints in axino dark matter scenarios, Phys. Lett. B 682 (2009) 193 [arXiv:0909.3293] [SPIRES].
A. Freitas, F.D. Steffen, N. Tajuddin and D. Wyler, Axinos in cosmology and at colliders, JHEP 06 (2011) 036 [arXiv:1105.1113] [SPIRES].
J. Hasenkamp and J. Kersten, Dark and visible matter with broken R-parity and the axion multiplet, Phys. Lett. B 701 (2011) 660 [arXiv:1103.6193] [SPIRES].
M. Dine, W. Fischler and M. Srednicki, A simple solution to the strong CP problem with a harmless axion, Phys. Lett. B 104 (1981) 199 [SPIRES].
A.R. Zhitnitsky, On possible suppression of the axion hadron interactions. (In Russian), Sov. J. Nucl. Phys. 31 (1980) 260 [SPIRES].
J.E. Kim, Weak interaction singlet and strong CP invariance, Phys. Rev. Lett. 43 (1979) 103 [SPIRES].
M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Can confinement ensure natural CP invariance of strong interactions?, Nucl. Phys. B 166 (1980) 493 [SPIRES].
P. Graf and F.D. Steffen, Thermal axion production in the primordial quark-gluon plasma, Phys. Rev. D 83 (2011) 075011 [arXiv:1008.4528] [SPIRES].
T. Higaki and R. Kitano, On supersymmetric effective theories of axion, arXiv:1104.0170 [SPIRES].
P. Sikivie, Of axions, domain walls and the early universe, Phys. Rev. Lett. 48 (1982) 1156 [SPIRES].
K. Choi and J.E. Kim, Domain walls in superstring models, Phys. Rev. Lett. 55 (1985) 2637 [SPIRES].
S.M. Barr, K. Choi and J.E. Kim, Axion cosmology in superstring models, Nucl. Phys. B 283 (1987) 591 [SPIRES].
T. Goto and M. Yamaguchi, Is axino dark matter possible in supergravity?, Phys. Lett. B 276 (1992) 103 [SPIRES].
E.J. Chun, J.E. Kim and H.P. Nilles, Axino mass, Phys. Lett. B 287 (1992) 123 [hep-ph/9205229] [SPIRES].
E.J. Chun and A. Lukas, Axino mass in supergravity models, Phys. Lett. B 357 (1995) 43 [hep-ph/9503233] [SPIRES].
K. Choi, E.J. Chun, H.D. Kim, W.I. Park and C.S. Shin, The mu-problem and axion in gauge mediation, Phys. Rev. D 83 (2011) 123503 [arXiv:1102.2900] [SPIRES].
K.S. Jeong and M. Yamaguchi, Axion model in gauge-mediated supersymmetry breaking and a solution to the mu/Bmu problem, JHEP 07 (2011) 124 [arXiv:1102.3301] [SPIRES].
K. Choi, K.S. Jeong, K.-I. Okumura and M. Yamaguchi, Mixed mediation of supersymmetry breaking with anomalous U(1) gauge symmetry, JHEP 06 (2011) 049 [arXiv:1104.3274] [SPIRES].
K. Konishi, Anomalous supersymmetry transformation of some composite operators in SQCD, Phys. Lett. B 135 (1984) 439 [SPIRES].
V.A. Novikov, M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Exact Gell-Mann-Low function of supersymmetric Yang-Mills theories from instanton calculus, Nucl. Phys. B 229 (1983) 381 [SPIRES].
V. Kaplunovsky and J. Louis, Field dependent gauge couplings in locally supersymmetric effective quantum field theories, Nucl. Phys. B 422 (1994) 57 [hep-th/9402005] [SPIRES].
N. Arkani-Hamed, G.F. Giudice, M.A. Luty and R. Rattazzi, Supersymmetry-breaking loops from analytic continuation into superspace, Phys. Rev. D 58 (1998) 115005 [hep-ph/9803290] [SPIRES].
H. Murayama, H. Suzuki and T. Yanagida, Radiative breaking of Peccei-Quinn symmetry at the intermediate mass scale, Phys. Lett. B 291 (1992) 418 [SPIRES].
K. Choi, E.J. Chun and J.E. Kim, Cosmological implications of radiatively generated axion scale, Phys. Lett. B 403 (1997) 209 [hep-ph/9608222] [SPIRES].
S. Kim, W.-I. Park and E.D. Stewart, Thermal inflation, baryogenesis and axions, JHEP 01 (2009) 015 [arXiv:0807.3607] [SPIRES].
J.R. Ellis, J.E. Kim and D.V. Nanopoulos, Cosmological gravitino regeneration and decay, Phys. Lett. B 145 (1984) 181 [SPIRES].
S.P. Martin, Collider signals from slow decays in supersymmetric models with an intermediate-scale solution to the mu problem, Phys. Rev. D 62 (2000) 095008 [hep-ph/0005116] [SPIRES].
E.J. Chun, H.B. Kim, K. Kohri and D.H. Lyth, Flaxino dark matter and stau decay, JHEP 03 (2008) 061 [arXiv:0801.4108] [SPIRES].
J.L. Feng, S.-f. Su and F. Takayama, SuperWIMP gravitino dark matter from slepton and sneutrino decays, Phys. Rev. D 70 (2004) 063514 [hep-ph/0404198] [SPIRES].
M. Pospelov, Particle physics catalysis of thermal big bang nucleosynthesis, Phys. Rev. Lett. 98 (2007) 231301 [hep-ph/0605215] [SPIRES].
K.J. Bae, K. Choi, E.J. Chun, S.H. Im, Cosmological production of DFSZ axinos, in preparation.
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] [SPIRES].
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ArXiv ePrint: 1106.2452
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Bae, K.J., Choi, K. & Im, S.H. Effective interactions of axion supermultiplet and thermal production of axino dark matter. J. High Energ. Phys. 2011, 65 (2011). https://doi.org/10.1007/JHEP08(2011)065
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DOI: https://doi.org/10.1007/JHEP08(2011)065