Journal of High Energy Physics

, 2014:130 | Cite as

Composite Goldstone dark matter: experimental predictions from the lattice

  • Ari Hietanen
  • Randy Lewis
  • Claudio Pica
  • Francesco Sannino
Open Access
Regular Article - Theoretical Physics

Abstract

We study, via lattice simulations, the nonperturbative dynamics of SU(2) gauge theory with two fundamental Dirac flavors. The model can be used simultaneously as a template for composite Goldstone boson dark matter and for breaking the electroweak symmetry dynamically. We compute the form factor, allowing us to estimate the associated electromagnetic charge radius. Interestingly we observe that the form factor obeys vector meson dominance even for the two color theory. We finally compare the model predictions with dark matter direct detection experiments. We find that the composite Goldstone boson dark matter cross section is constrained by the most stringent direct-detection experiments. Our results are a foundation for quantitative new composite dynamics relevant for model building, and are of interest to current experiments.

Keywords

Lattice QCD Beyond Standard Model Technicolor and Composite Models 

Notes

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.

References

  1. [1]
    S. Nussinov, Technocosmology: could a technibaryon excess provide anaturalmissing mass candidate?, Phys. Lett. B 165 (1985) 55 [INSPIRE].ADSCrossRefGoogle Scholar
  2. [2]
    D.D. Dietrich and F. Sannino, Conformal window of SU(N) gauge theories with fermions in higher dimensional representations, Phys. Rev. D 75 (2007) 085018 [hep-ph/0611341] [INSPIRE].ADSMathSciNetGoogle Scholar
  3. [3]
    E. Nardi, F. Sannino and A. Strumia, Decaying dark matter can explain the e ± excesses, JCAP 01 (2009) 043 [arXiv:0811.4153] [INSPIRE].ADSCrossRefGoogle Scholar
  4. [4]
    S.B. Gudnason, C. Kouvaris and F. Sannino, Towards working technicolor: effective theories and dark matter, Phys. Rev. D 73 (2006) 115003 [hep-ph/0603014] [INSPIRE].ADSGoogle Scholar
  5. [5]
    R. Foadi, M.T. Frandsen and F. Sannino, Technicolor dark matter, Phys. Rev. D 80 (2009) 037702 [arXiv:0812.3406] [INSPIRE].ADSGoogle Scholar
  6. [6]
    M.Y. Khlopov and C. Kouvaris, Composite dark matter from a model with composite Higgs boson, Phys. Rev. D 78 (2008) 065040 [arXiv:0806.1191] [INSPIRE].ADSGoogle Scholar
  7. [7]
    F. Sannino, Conformal dynamics for TeV physics and cosmology, Acta Phys. Polon. B 40 (2009) 3533 [arXiv:0911.0931] [INSPIRE].Google Scholar
  8. [8]
    T.A. Ryttov and F. Sannino, Ultra minimal technicolor and its dark matter TIMP, Phys. Rev. D 78 (2008) 115010 [arXiv:0809.0713] [INSPIRE].ADSGoogle Scholar
  9. [9]
    D.E. Kaplan, M.A. Luty and K.M. Zurek, Asymmetric dark matter, Phys. Rev. D 79 (2009) 115016 [arXiv:0901.4117] [INSPIRE].ADSGoogle Scholar
  10. [10]
    M.T. Frandsen and F. Sannino, iTIMP: isotriplet Technicolor Interacting massive particle as dark matter, Phys. Rev. D 81 (2010) 097704 [arXiv:0911.1570] [INSPIRE].ADSGoogle Scholar
  11. [11]
    A. Belyaev, M.T. Frandsen, S. Sarkar and F. Sannino, Mixed dark matter from technicolor, Phys. Rev. D 83 (2011) 015007 [arXiv:1007.4839] [INSPIRE].ADSGoogle Scholar
  12. [12]
    D.B. Kaplan and H. Georgi, SU(2) × U(1) breaking by vacuum misalignment, Phys. Lett. B 136 (1984) 183 [INSPIRE].ADSCrossRefGoogle Scholar
  13. [13]
    G. Cacciapaglia and F. Sannino, Fundamental composite (Goldstone) Higgs dynamics, JHEP 04 (2014) 111 [arXiv:1402.0233] [INSPIRE].ADSCrossRefGoogle Scholar
  14. [14]
    R. Lewis, C. Pica and F. Sannino, Light asymmetric dark matter on the lattice: SU(2) technicolor with two fundamental flavors, Phys. Rev. D 85 (2012) 014504 [arXiv:1109.3513] [INSPIRE].ADSGoogle Scholar
  15. [15]
    A. Hietanen, R. Lewis, C. Pica and F. Sannino, Fundamental composite Higgs dynamics on the lattice: SU(2) with two flavors, JHEP 07 (2014) 116 [arXiv:1404.2794] [INSPIRE].ADSCrossRefGoogle Scholar
  16. [16]
    R. Foadi, M.T. Frandsen and F. Sannino, 125 GeV Higgs boson from a not so light technicolor scalar, Phys. Rev. D 87 (2013) 095001 [arXiv:1211.1083] [INSPIRE].ADSGoogle Scholar
  17. [17]
    T. Appelquist et al., Lattice gauge theories at the energy frontier, arXiv:1309.1206 [INSPIRE].
  18. [18]
    T. Appelquistet al., Two-color theory with novel infrared behavior, Phys. Rev. Lett. 112 (2014) 111601 [arXiv:1311.4889] [INSPIRE].
  19. [19]
    K.-i. Nagai, G. Carrillo-Ruiz, G. Koleva and R. Lewis, Exploration of SU(N c) gauge theory with many Wilson fermions at strong coupling, Phys. Rev. D 80 (2009) 074508 [arXiv:0908.0166] [INSPIRE].
  20. [20]
    S. Hands, S. Kim and J.-I. Skullerud, Deconfinement in dense 2-color QCD, Eur. Phys. J. C 48 (2006) 193 [hep-lat/0604004] [INSPIRE].ADSCrossRefGoogle Scholar
  21. [21]
    S. Hands, P. Sitch and J.-I. Skullerud, Hadron spectrum in a two-colour baryon-rich medium, Phys. Lett. B 662 (2008) 405 [arXiv:0710.1966] [INSPIRE].ADSCrossRefGoogle Scholar
  22. [22]
    S. Hands, S. Kim and J.-I. Skullerud, A quarkyonic phase in dense two color matter?, Phys. Rev. D 81 (2010) 091502 [arXiv:1001.1682] [INSPIRE].ADSGoogle Scholar
  23. [23]
    S. Hands and P. Kenny, Topological fluctuations in dense matter with two colors, Phys. Lett. B 701 (2011) 373 [arXiv:1104.0522] [INSPIRE].ADSCrossRefGoogle Scholar
  24. [24]
    S. Cotter, P. Giudice, S. Hands and J.-I. Skullerud, Towards the phase diagram of dense two-color matter, Phys. Rev. D 87 (2013) 034507 [arXiv:1210.4496] [INSPIRE].ADSGoogle Scholar
  25. [25]
    H. Matsufuru, Y. Kikukawa, K.-i. Nagai and N. Yamada, Lattice simulation of SU(2) gauge theory with chirally symmetric fermions, PoS(LATTICE 2013)123 [arXiv:1401.6655] [INSPIRE].
  26. [26]
    W. Detmold, M. McCullough and A. Pochinsky, Dark nuclei I: cosmology and indirect detection, arXiv:1406.2276 [INSPIRE].
  27. [27]
    W. Detmold, M. McCullough and A. Pochinsky, Dark nuclei II: nuclear spectroscopy in two-colour QCD, arXiv:1406.4116 [INSPIRE].
  28. [28]
    Lattice Strong Dynamics (LSD) collaboration, T. Appelquist et al., Lattice calculation of composite dark matter form factors, Phys. Rev. D 88 (2013) 014502 [arXiv:1301.1693] [INSPIRE].ADSGoogle Scholar
  29. [29]
    Lattice Strong Dynamics (LSD) collaboration, T. Appelquist et al., Composite bosonic baryon dark matter on the lattice: SU(4) baryon spectrum and the effective Higgs interaction, Phys. Rev. D 89 (2014) 094508 [arXiv:1402.6656] [INSPIRE].ADSGoogle Scholar
  30. [30]
    E. Del Nobile, C. Kouvaris and F. Sannino, Interfering composite asymmetric dark matter for DAMA and CoGeNT, Phys. Rev. D 84 (2011) 027301 [arXiv:1105.5431] [INSPIRE].ADSGoogle Scholar
  31. [31]
    E. Del Nobile, C. Kouvaris, F. Sannino and J. Virkajarvi, Dark matter interference, Mod. Phys. Lett. A 27 (2012) 1250108 [arXiv:1111.1902] [INSPIRE].CrossRefGoogle Scholar
  32. [32]
    DAMA collaboration, R. Bernabei et al., First results from DAMA/LIBRA and the combined results with DAMA/NaI, Eur. Phys. J. C 56 (2008) 333 [arXiv:0804.2741] [INSPIRE].ADSCrossRefGoogle Scholar
  33. [33]
    XENON100 collaboration, E. Aprile et al., Dark matter results from 100 live days of XENON100 data, Phys. Rev. Lett. 107 (2011) 131302 [arXiv:1104.2549] [INSPIRE].ADSCrossRefGoogle Scholar
  34. [34]
    XENON100 collaboration, E. Aprile et al., Dark matter results from 225 live days of XENON100 data, Phys. Rev. Lett. 109 (2012) 181301 [arXiv:1207.5988] [INSPIRE].ADSCrossRefGoogle Scholar
  35. [35]
    CDMS-II collaboration, Z. Ahmed et al., Dark matter search results from the CDMS II experiment, Science 327 (2010) 1619 [arXiv:0912.3592] [INSPIRE].ADSCrossRefGoogle Scholar
  36. [36]
    LUX collaboration, D.S. Akerib et al., First results from the LUX dark matter experiment at the Sanford Underground Research Facility, Phys. Rev. Lett. 112 (2014) 091303 [arXiv:1310.8214] [INSPIRE].ADSCrossRefGoogle Scholar
  37. [37]
    SuperCDMS collaboration, R. Agnese et al., Search for low-mass weakly interacting massive particles with SuperCDMS, Phys. Rev. Lett. 112 (2014) 241302 [arXiv:1402.7137] [INSPIRE].ADSCrossRefGoogle Scholar
  38. [38]
    Lattice Hadron Physics collaboration, F.D.R. Bonnet, et al., Lattice computations of the pion form-factor, Phys. Rev. D 72 (2005) 054506 [hep-lat/0411028] [INSPIRE].ADSGoogle Scholar
  39. [39]
    J. Gasser and H. Leutwyler, Chiral perturbation theory: expansions in the mass of the strange quark, Nucl. Phys. B 250 (1985) 465 [INSPIRE].ADSCrossRefGoogle Scholar
  40. [40]
    QCDSF/UKQCD collaboration, D. Brommel et al., The pion form-factor from lattice QCD with two dynamical flavours, Eur. Phys. J. C 51 (2007) 335 [hep-lat/0608021] [INSPIRE].ADSCrossRefGoogle Scholar
  41. [41]
    ETM collaboration, R. Frezzotti et al., Electromagnetic form factor of the pion from twisted-mass lattice QCD at N f = 2, Phys. Rev. D 79 (2009) 074506 [arXiv:0812.4042] [INSPIRE].ADSGoogle Scholar
  42. [42]
    P.A. Boyle et al., The pions electromagnetic form-factor at small momentum transfer in full lattice QCD, JHEP 07 (2008) 112 [arXiv:0804.3971] [INSPIRE].ADSGoogle Scholar
  43. [43]
    JLQCD Collaboration, TWQCD collaboration, S. Aoki et al., Pion form factors from two-flavor lattice QCD with exact chiral symmetry, Phys. Rev. D 80 (2009) 034508 [arXiv:0905.2465] [INSPIRE].ADSGoogle Scholar
  44. [44]
    O.H. Nguyen, K.-I. Ishikawa, A. Ukawa and N. Ukita, Electromagnetic form factor of pion from N f = 2 + 1 dynamical flavor QCD, JHEP 04 (2011) 122 [arXiv:1102.3652] [INSPIRE].ADSCrossRefGoogle Scholar
  45. [45]
    B.B. Brandt, A. Juttner and H. Wittig, Calculation of the pion electromagnetic form factor from lattice QCD, arXiv:1109.0196 [INSPIRE].
  46. [46]
    B.B. Brandt, A. Jüttner and H. Wittig, The pion vector form factor from lattice QCD and NNLO chiral perturbation theory, JHEP 11 (2013) 034 [arXiv:1306.2916] [INSPIRE].ADSCrossRefGoogle Scholar
  47. [47]
    W. Wilcox and R.M. Woloshyn, Lattice results on the meson electric form-factor, Phys. Rev. Lett. 54 (1985) 2653 [INSPIRE].ADSCrossRefGoogle Scholar
  48. [48]
    R.M. Woloshyn and A.M. Kobos, Numerical study of the lattice meson form-factor, Phys. Rev. D 33 (1986) 222 [INSPIRE].ADSGoogle Scholar
  49. [49]
    R.M. Woloshyn, Lattice meson electric form-factor using Wilson fermions, Phys. Rev. D 34 (1986) 605 [INSPIRE].ADSGoogle Scholar
  50. [50]
    G. ’t Hooft, A planar diagram theory for strong interactions, Nucl. Phys. B 72 (1974) 461 [INSPIRE].
  51. [51]
    E. Witten, Baryons in the 1/n expansion, Nucl. Phys. B 160 (1979) 57 [INSPIRE].ADSCrossRefMathSciNetGoogle Scholar
  52. [52]
    P. Masjuan, E. Ruiz Arriola and W. Broniowski, Meson dominance of hadron form factors and large-Nc phenomenology, Phys. Rev. D 87 (2013) 014005 [arXiv:1210.0760] [INSPIRE].ADSGoogle Scholar
  53. [53]
    Particle Data Group collaboration, J. Beringer et al., Review of particle physics, Phys. Rev. D 86 (2012) 010001 [INSPIRE].ADSGoogle Scholar
  54. [54]
    L. Del Debbio, A. Patella and C. Pica, Higher representations on the lattice: Numerical simulations. SU(2) with adjoint fermions, Phys. Rev. D 81 (2010) 094503 [arXiv:0805.2058] [INSPIRE].ADSGoogle Scholar
  55. [55]
    S. Chang, J. Liu, A. Pierce, N. Weiner and I. Yavin, CoGeNT Interpretations, JCAP 08 (2010) 018 [arXiv:1004.0697] [INSPIRE].ADSCrossRefGoogle Scholar
  56. [56]
    J.L. Feng, J. Kumar, D. Marfatia and D. Sanford, Isospin-violating dark matter, Phys. Lett. B 703 (2011) 124 [arXiv:1102.4331] [INSPIRE].ADSCrossRefGoogle Scholar
  57. [57]
    C. Savage, G. Gelmini, P. Gondolo and K. Freese, XENON10/100 dark matter constraints in comparison with CoGeNT and DAMA: examining the Leff dependence, Phys. Rev. D 83 (2011) 055002 [arXiv:1006.0972] [INSPIRE].ADSGoogle Scholar
  58. [58]
    N. Bozorgnia, G.B. Gelmini and P. Gondolo, Channeling in direct dark matter detection I: channeling fraction in NaI (Tl) crystals, JCAP 11 (2010) 019 [arXiv:1006.3110] [INSPIRE].ADSCrossRefGoogle Scholar
  59. [59]
    CDMS-II collaboration, Z. Ahmed et al., Results from a low-energy analysis of the CDMS II germanium data, Phys. Rev. Lett. 106 (2011) 131302 [arXiv:1011.2482] [INSPIRE].ADSCrossRefGoogle Scholar
  60. [60]
    XENON10 collaboration, J. Angle et al., A search for light dark matter in XENON10 data, Phys. Rev. Lett. 107 (2011) 051301 [Erratum ibid. 110 (2013) 249901] [arXiv:1104.3088] [INSPIRE].
  61. [61]
    A. Hietanen, C. Pica, F. Sannino and U.I. Sondergaard, Orthogonal technicolor with isotriplet dark matter on the lattice, Phys. Rev. D 87 (2013) 034508 [arXiv:1211.5021] [INSPIRE].ADSGoogle Scholar

Copyright information

© The Author(s) 2014

Authors and Affiliations

  • Ari Hietanen
    • 1
  • Randy Lewis
    • 2
  • Claudio Pica
    • 1
  • Francesco Sannino
    • 1
  1. 1.CP3 and the Danish IASUniversity of Southern DenmarkOdense MDenmark
  2. 2.Department of Physics and AstronomyYork UniversityTorontoCanada

Personalised recommendations