Journal of High Energy Physics

, 2018:99 | Cite as

Electroweak phase transition and baryogenesis in composite Higgs models

  • Sebastian Bruggisser
  • Benedict von HarlingEmail author
  • Oleksii Matsedonskyi
  • Géraldine Servant
Open Access
Regular Article - Theoretical Physics


We present a comprehensive study of the electroweak phase transition in composite Higgs models, where the Higgs arises from a new, strongly-coupled sector which confines near the TeV scale. This work extends our study in ref. [1]. We describe the confinement phase transition in terms of the dilaton, the pseudo-Nambu-Goldstone boson of broken conformal invariance of the composite Higgs sector. From the analysis of the joint Higgs-dilaton potential we conclude that in this scenario the electroweak phase transition can naturally be first-order, allowing for electroweak baryogenesis. We then extensively discuss possible options to generate a sufficient amount of CP violation — another key ingredient of baryogenesis — from quark Yukawa couplings which vary during the phase transition. For one such an option, with a varying charm quark Yukawa coupling, we perform a full numerical analysis of tunnelling in the Higgs-dilaton potential and determine regions of parameter space which allow for successful baryogenesis. This scenario singles out the light dilaton region while satisfying all experimental bounds. We discuss future tests. Our results bring new opportunities and strong motivations for electroweak baryogenesis.


Cosmology of Theories beyond the SM Technicolor and Composite Models 


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.


  1. [1]
    S. Bruggisser, B. Von Harling, O. Matsedonskyi and G. Servant, Baryon Asymmetry from a Composite Higgs Boson, Phys. Rev. Lett. 121 (2018) 131801 [arXiv:1803.08546] [INSPIRE].CrossRefGoogle Scholar
  2. [2]
    G. Panico and A. Wulzer, The Composite Nambu-Goldstone Higgs, Lect. Notes Phys. 913 (2016) 1 [arXiv:1506.01961] [INSPIRE].CrossRefzbMATHGoogle Scholar
  3. [3]
    C. Grojean, G. Servant and J.D. Wells, First-order electroweak phase transition in the standard model with a low cutoff, Phys. Rev. D 71 (2005) 036001 [hep-ph/0407019] [INSPIRE].
  4. [4]
    D. Bödeker, L. Fromme, S.J. Huber and M. Seniuch, The Baryon asymmetry in the standard model with a low cut-off, JHEP 02 (2005) 026 [hep-ph/0412366] [INSPIRE].
  5. [5]
    C. Delaunay, C. Grojean and J.D. Wells, Dynamics of Non-renormalizable Electroweak Symmetry Breaking, JHEP 04 (2008) 029 [arXiv:0711.2511] [INSPIRE].CrossRefGoogle Scholar
  6. [6]
    B. Grinstein and M. Trott, Electroweak Baryogenesis with a Pseudo-Goldstone Higgs, Phys. Rev. D 78 (2008) 075022 [arXiv:0806.1971] [INSPIRE].
  7. [7]
    J.R. Espinosa, B. Gripaios, T. Konstandin and F. Riva, Electroweak Baryogenesis in Non-minimal Composite Higgs Models, JCAP 01 (2012) 012 [arXiv:1110.2876] [INSPIRE].CrossRefGoogle Scholar
  8. [8]
    M. Chala, G. Nardini and I. Sobolev, Unified explanation for dark matter and electroweak baryogenesis with direct detection and gravitational wave signatures, Phys. Rev. D 94 (2016) 055006 [arXiv:1605.08663] [INSPIRE].
  9. [9]
    G.F. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The Strongly-Interacting Light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164] [INSPIRE].
  10. [10]
    M. Chala, G. Durieux, C. Grojean, L. de Lima and O. Matsedonskyi, Minimally extended SILH, JHEP 06 (2017) 088 [arXiv:1703.10624] [INSPIRE].CrossRefzbMATHGoogle Scholar
  11. [11]
    G. Panico, M. Redi, A. Tesi and A. Wulzer, On the Tuning and the Mass of the Composite Higgs, JHEP 03 (2013) 051 [arXiv:1210.7114] [INSPIRE].CrossRefGoogle Scholar
  12. [12]
    C. Grojean, O. Matsedonskyi and G. Panico, Light top partners and precision physics, JHEP 10 (2013) 160 [arXiv:1306.4655] [INSPIRE].CrossRefGoogle Scholar
  13. [13]
    C. Csáki, M. Geller and O. Telem, Tree-level Quartic for a Holographic Composite Higgs, JHEP 05 (2018) 134 [arXiv:1710.08921] [INSPIRE].CrossRefGoogle Scholar
  14. [14]
    S. Bruggisser, T. Konstandin and G. Servant, CP-violation for Electroweak Baryogenesis from Dynamical CKM Matrix, JCAP 11 (2017) 034 [arXiv:1706.08534] [INSPIRE].CrossRefGoogle Scholar
  15. [15]
    I. Baldes, T. Konstandin and G. Servant, A first-order electroweak phase transition from varying Yukawas, Phys. Lett. B 786 (2018) 373 [arXiv:1604.04526] [INSPIRE].
  16. [16]
    I. Baldes, T. Konstandin and G. Servant, Flavor Cosmology: Dynamical Yukawas in the Froggatt-Nielsen Mechanism, JHEP 12 (2016) 073 [arXiv:1608.03254] [INSPIRE].CrossRefGoogle Scholar
  17. [17]
    B. von Harling and G. Servant, Cosmological evolution of Yukawa couplings: the 5D perspective, JHEP 05 (2017) 077 [arXiv:1612.02447] [INSPIRE].
  18. [18]
    G. Servant, The serendipity of electroweak baryogenesis, Phil. Trans. Roy. Soc. Lond. A 376 (2018) 20170124 [arXiv:1807.11507] [INSPIRE].
  19. [19]
    D.B. Kaplan and H. Georgi, SU(2) × U(1) Breaking by Vacuum Misalignment, Phys. Lett. B 136 (1984) 183 [INSPIRE].
  20. [20]
    R. Contino, The Higgs as a Composite Nambu-Goldstone Boson, in Physics of the large and the small, TASI 09, proceedings of the Theoretical Advanced Study Institute in Elementary Particle Physics, Boulder, Colorado, U.S.A., 1-26 June 2009, pp. 235-306 (2011) [DOI:] [arXiv:1005.4269] [INSPIRE].
  21. [21]
    B. Bellazzini, C. Csáki and J. Serra, Composite Higgses, Eur. Phys. J. C 74 (2014) 2766 [arXiv:1401.2457] [INSPIRE].
  22. [22]
    C. Csáki, A. Falkowski and A. Weiler, A Simple Flavor Protection for RS, Phys. Rev. D 80 (2009) 016001 [arXiv:0806.3757] [INSPIRE].
  23. [23]
    K. Agashe, R. Contino and A. Pomarol, The Minimal composite Higgs model, Nucl. Phys. B 719 (2005) 165 [hep-ph/0412089] [INSPIRE].
  24. [24]
    O. Matsedonskyi, G. Panico and A. Wulzer, Light Top Partners for a Light Composite Higgs, JHEP 01 (2013) 164 [arXiv:1204.6333] [INSPIRE].CrossRefGoogle Scholar
  25. [25]
    M. Redi and A. Tesi, Implications of a Light Higgs in Composite Models, JHEP 10 (2012) 166 [arXiv:1205.0232] [INSPIRE].CrossRefGoogle Scholar
  26. [26]
    D. Marzocca, M. Serone and J. Shu, General Composite Higgs Models, JHEP 08 (2012) 013 [arXiv:1205.0770] [INSPIRE].CrossRefGoogle Scholar
  27. [27]
    A. Pomarol and F. Riva, The Composite Higgs and Light Resonance Connection, JHEP 08 (2012) 135 [arXiv:1205.6434] [INSPIRE].CrossRefGoogle Scholar
  28. [28]
    B. Batell, M.A. Fedderke and L.-T. Wang, Relaxation of the Composite Higgs Little Hierarchy, JHEP 12 (2017) 139 [arXiv:1705.09666] [INSPIRE].CrossRefGoogle Scholar
  29. [29]
    R. Contino, A. Pomarol and R. Rattazzi, unpublished work.Google Scholar
  30. [30]
    R. Rattazzi, The naturally light dilaton, talk at Planck2010, 31 May - 4 June 2010 [].
  31. [31]
    A. Pomarol, Elementary or Composite: The particle physics dilemma, talk at The XVI IFT Xmas Workshop, 15-17 December 2010.Google Scholar
  32. [32]
    F. Coradeschi, P. Lodone, D. Pappadopulo, R. Rattazzi and L. Vitale, A naturally light dilaton, JHEP 11 (2013) 057 [arXiv:1306.4601] [INSPIRE].CrossRefGoogle Scholar
  33. [33]
    B. Bellazzini, C. Csáki, J. Hubisz, J. Serra and J. Terning, A Naturally Light Dilaton and a Small Cosmological Constant, Eur. Phys. J. C 74 (2014) 2790 [arXiv:1305.3919] [INSPIRE].
  34. [34]
    Z. Chacko and R.K. Mishra, Effective Theory of a Light Dilaton, Phys. Rev. D 87 (2013) 115006 [arXiv:1209.3022] [INSPIRE].
  35. [35]
    E. Megias and O. Pujolàs, Naturally light dilatons from nearly marginal deformations, JHEP 08 (2014) 081 [arXiv:1401.4998] [INSPIRE].CrossRefGoogle Scholar
  36. [36]
    E. Megias, G. Panico, O. Pujolàs and M. Quirós, Light dilatons in warped space: Higgs boson and LHCb anomalies, Nucl. Part. Phys. Proc. 282-284 (2017) 194 [arXiv:1609.01881] [INSPIRE].
  37. [37]
    W.D. Goldberger and M.B. Wise, Modulus stabilization with bulk fields, Phys. Rev. Lett. 83 (1999) 4922 [hep-ph/9907447] [INSPIRE].
  38. [38]
    B. von Harling and G. Servant, QCD-induced Electroweak Phase Transition, JHEP 01 (2018) 159 [arXiv:1711.11554] [INSPIRE].CrossRefzbMATHGoogle Scholar
  39. [39]
    LatKMI collaboration, Y. Aoki et al., Light composite scalar in eight-flavor QCD on the lattice, Phys. Rev. D 89 (2014) 111502 [arXiv:1403.5000] [INSPIRE].
  40. [40]
    T. Appelquist et al., Strongly interacting dynamics and the search for new physics at the LHC, Phys. Rev. D 93 (2016) 114514 [arXiv:1601.04027] [INSPIRE].
  41. [41]
    L. Randall and G. Servant, Gravitational waves from warped spacetime, JHEP 05 (2007) 054 [hep-ph/0607158] [INSPIRE].
  42. [42]
    E. Witten, Baryons in the 1/n Expansion, Nucl. Phys. B 160 (1979) 57 [INSPIRE].
  43. [43]
    P. Creminelli, A. Nicolis and R. Rattazzi, Holography and the electroweak phase transition, JHEP 03 (2002) 051 [hep-th/0107141] [INSPIRE].CrossRefGoogle Scholar
  44. [44]
    G. Nardini, M. Quirós and A. Wulzer, A Confining Strong First-Order Electroweak Phase Transition, JHEP 09 (2007) 077 [arXiv:0706.3388] [INSPIRE].CrossRefGoogle Scholar
  45. [45]
    T. Konstandin, G. Nardini and M. Quirós, Gravitational Backreaction Effects on the Holographic Phase Transition, Phys. Rev. D 82 (2010) 083513 [arXiv:1007.1468] [INSPIRE].
  46. [46]
    B.M. Dillon, B.K. El-Menoufi, S.J. Huber and J.P. Manuel, Rapid holographic phase transition with brane-localized curvature, Phys. Rev. D 98 (2018) 086005 [arXiv:1708.02953] [INSPIRE].
  47. [47]
    D. Pappadopulo, A. Thamm and R. Torre, A minimally tuned composite Higgs model from an extra dimension, JHEP 07 (2013) 058 [arXiv:1303.3062] [INSPIRE].CrossRefGoogle Scholar
  48. [48]
    O. Matsedonskyi, F. Riva and T. Vantalon, Composite Charge 8/3 Resonances at the LHC, JHEP 04 (2014) 059 [arXiv:1401.3740] [INSPIRE].
  49. [49]
    S.S. Gubser, I.R. Klebanov and A.W. Peet, Entropy and temperature of black 3-branes, Phys. Rev. D 54 (1996) 3915 [hep-th/9602135] [INSPIRE].
  50. [50]
    R. Barbieri, D. Buttazzo, F. Sala, D.M. Straub and A. Tesi, A 125 GeV composite Higgs boson versus flavour and electroweak precision tests, JHEP 05 (2013) 069 [arXiv:1211.5085] [INSPIRE].CrossRefGoogle Scholar
  51. [51]
    O. Matsedonskyi, On Flavour and Naturalness of Composite Higgs Models, JHEP 02 (2015) 154 [arXiv:1411.4638] [INSPIRE].CrossRefGoogle Scholar
  52. [52]
    L. Randall and R. Sundrum, A Large mass hierarchy from a small extra dimension, Phys. Rev. Lett. 83 (1999) 3370 [hep-ph/9905221] [INSPIRE].
  53. [53]
    O. Matsedonskyi, G. Panico and A. Wulzer, Top Partners Searches and Composite Higgs Models, JHEP 04 (2016) 003 [arXiv:1512.04356] [INSPIRE].Google Scholar
  54. [54]
    A. De Simone, O. Matsedonskyi, R. Rattazzi and A. Wulzer, A First Top Partner Hunter’s Guide, JHEP 04 (2013) 004 [arXiv:1211.5663] [INSPIRE].MathSciNetCrossRefzbMATHGoogle Scholar
  55. [55]
    G. Panico, M. Riembau and T. Vantalon, Probing light top partners with CP-violation, JHEP 06 (2018) 056 [arXiv:1712.06337] [INSPIRE].CrossRefGoogle Scholar
  56. [56]
    G. Servant, Baryogenesis from Strong CP Violation and the QCD Axion, Phys. Rev. Lett. 113 (2014) 171803 [arXiv:1407.0030] [INSPIRE].
  57. [57]
    T. Konstandin and G. Servant, Natural Cold Baryogenesis from Strongly Interacting Electroweak Symmetry Breaking, JCAP 07 (2011) 024 [arXiv:1104.4793] [INSPIRE].CrossRefGoogle Scholar
  58. [58]
    Planck collaboration, P.A.R. Ade et al., Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys. 594 (2016) A13 [arXiv:1502.01589] [INSPIRE].
  59. [59]
    K. Blum, M. Cliche, C. Csáki and S.J. Lee, WIMP Dark Matter through the Dilaton Portal, JHEP 03 (2015) 099 [arXiv:1410.1873] [INSPIRE].MathSciNetCrossRefzbMATHGoogle Scholar
  60. [60]
    A. Efrati, E. Kuflik, S. Nussinov, Y. Soreq and T. Volansky, Constraining the Higgs-Dilaton with LHC and Dark Matter Searches, Phys. Rev. D 91 (2015) 055034 [arXiv:1410.2225] [INSPIRE].
  61. [61]
    ATLAS collaboration, Search for a high-mass Higgs boson decaying to a W boson pair in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, JHEP 01 (2016) 032 [arXiv:1509.00389] [INSPIRE].
  62. [62]
    CMS collaboration, Search for a standard-model-like Higgs boson with a mass in the range 145 to 1000 GeV at the LHC, Eur. Phys. J. C 73 (2013) 2469 [arXiv:1304.0213] [INSPIRE].
  63. [63]
    ATLAS collaboration, Search for heavy resonances decaying into W W in the eνμν final state in pp collisions at \( \sqrt{s}=13 \) TeV with the ATLAS detector, Eur. Phys. J. C 78 (2018) 24 [arXiv:1710.01123] [INSPIRE].
  64. [64]
    CMS collaboration, Search for new diboson resonances in the dilepton + jets final state at \( \sqrt{s}=13 \) TeV with 2016 data,CMS-PAS-HIG-16-034.
  65. [65]
    M. Redi, Composite MFV and Beyond, Eur. Phys. J. C 72 (2012) 2030 [arXiv:1203.4220] [INSPIRE].
  66. [66]
    R. Barbieri, G. Isidori, J. Jones-Perez, P. Lodone and D.M. Straub, U(2) and Minimal Flavour Violation in Supersymmetry, Eur. Phys. J. C 71 (2011) 1725 [arXiv:1105.2296] [INSPIRE].
  67. [67]
    M. Redi and A. Weiler, Flavor and CP Invariant Composite Higgs Models, JHEP 11 (2011) 108 [arXiv:1106.6357] [INSPIRE].CrossRefzbMATHGoogle Scholar
  68. [68]
    CLIC Detector and Physics Study collaboration, H. Abramowicz et al., Physics at the CLIC e + e Linear Collider — Input to the Snowmass process 2013, in Proceedings, 2013 Community Summer Study on the Future of U.S. Particle Physics: Snowmass on th Mississippi (CSS2013), Minneapolis, MN, U.S.A., July 29-August 6, 2013 (2013) [arXiv:1307.5288] [INSPIRE].
  69. [69]
    V. Cirigliano, W. Dekens, J. de Vries and E. Mereghetti, Constraining the top-Higgs sector of the Standard Model Effective Field Theory, Phys. Rev. D 94 (2016) 034031 [arXiv:1605.04311] [INSPIRE].
  70. [70]
    ACME collaboration, J. Baron et al., Order of Magnitude Smaller Limit on the Electric Dipole Moment of the Electron, Science 343 (2014) 269 [arXiv:1310.7534] [INSPIRE].
  71. [71]
    J.M. Pendlebury et al., Revised experimental upper limit on the electric dipole moment of the neutron, Phys. Rev. D 92 (2015) 092003 [arXiv:1509.04411] [INSPIRE].
  72. [72]
    B. Graner, Y. Chen, E.G. Lindahl and B.R. Heckel, Reduced Limit on the Permanent Electric Dipole Moment of Hg199, Phys. Rev. Lett. 116 (2016) 161601 [Erratum ibid. 119 (2017) 119901] [arXiv:1601.04339] [INSPIRE].
  73. [73]
    N. Yamanaka, B.K. Sahoo, N. Yoshinaga, T. Sato, K. Asahi and B.P. Das, Probing exotic phenomena at the interface of nuclear and particle physics with the electric dipole moments of diamagnetic atoms: A unique window to hadronic and semi-leptonic CP-violation, Eur. Phys. J. A 53 (2017) 54 [arXiv:1703.01570] [INSPIRE].
  74. [74]
    F. Sala, A bound on the charm chromo-EDM and its implications, JHEP 03 (2014) 061 [arXiv:1312.2589] [INSPIRE].CrossRefGoogle Scholar
  75. [75]
    H. Abramowicz et al., Higgs physics at the CLIC electron-positron linear collider, Eur. Phys. J. C 77 (2017) 475 [arXiv:1608.07538] [INSPIRE].
  76. [76]
    TLEP Design Study Working Group collaboration, M. Bicer et al., First Look at the Physics Case of TLEP, JHEP 01 (2014) 164 [arXiv:1308.6176] [INSPIRE].
  77. [77]
    S. Di Vita, C. Grojean, G. Panico, M. Riembau and T. Vantalon, A global view on the Higgs self-coupling, JHEP 09 (2017) 069 [arXiv:1704.01953] [INSPIRE].CrossRefGoogle Scholar
  78. [78]
    S. Di Vita et al., A global view on the Higgs self-coupling at lepton colliders, JHEP 02 (2018) 178 [arXiv:1711.03978] [INSPIRE].CrossRefGoogle Scholar
  79. [79]
    S.D. Rindani, P. Sharma and A. Shivaji, Unraveling the CP phase of top-Higgs coupling in associated production at the LHC, Phys. Lett. B 761 (2016) 25 [arXiv:1605.03806] [INSPIRE].
  80. [80]
    M.R. Buckley and D. Goncalves, Boosting the Direct CP Measurement of the Higgs-Top Coupling, Phys. Rev. Lett. 116 (2016) 091801 [arXiv:1507.07926] [INSPIRE].
  81. [81]
    E. Witten, Cosmic Separation of Phases, Phys. Rev. D 30 (1984) 272 [INSPIRE].
  82. [82]
    C.J. Hogan, Gravitational radiation from cosmological phase transitions, Mon. Not. Roy. Astron. Soc. 218 (1986) 629 [INSPIRE].CrossRefGoogle Scholar
  83. [83]
    M. Kamionkowski, A. Kosowsky and M.S. Turner, Gravitational radiation from first order phase transitions, Phys. Rev. D 49 (1994) 2837 [astro-ph/9310044] [INSPIRE].
  84. [84]
    C. Grojean and G. Servant, Gravitational Waves from Phase Transitions at the Electroweak Scale and Beyond, Phys. Rev. D 75 (2007) 043507 [hep-ph/0607107] [INSPIRE].
  85. [85]
    C. Caprini et al., Science with the space-based interferometer eLISA. II: Gravitational waves from cosmological phase transitions, JCAP 04 (2016) 001 [arXiv:1512.06239] [INSPIRE].
  86. [86]
    D.J. Weir, Gravitational waves from a first order electroweak phase transition: a brief review, Phil. Trans. Roy. Soc. Lond. A 376 (2018) 20170126 [arXiv:1705.01783] [INSPIRE].
  87. [87]
    C. Caprini, R. Durrer and G. Servant, Gravitational wave generation from bubble collisions in first-order phase transitions: An analytic approach, Phys. Rev. D 77 (2008) 124015 [arXiv:0711.2593] [INSPIRE].
  88. [88]
    S.J. Huber and T. Konstandin, Gravitational Wave Production by Collisions: More Bubbles, JCAP 09 (2008) 022 [arXiv:0806.1828] [INSPIRE].CrossRefGoogle Scholar
  89. [89]
    M. Hindmarsh, S.J. Huber, K. Rummukainen and D.J. Weir, Numerical simulations of acoustically generated gravitational waves at a first order phase transition, Phys. Rev. D 92 (2015) 123009 [arXiv:1504.03291] [INSPIRE].
  90. [90]
    A. Kosowsky and M.S. Turner, Gravitational radiation from colliding vacuum bubbles: envelope approximation to many bubble collisions, Phys. Rev. D 47 (1993) 4372 [astro-ph/9211004] [INSPIRE].
  91. [91]
    C. Caprini, R. Durrer and G. Servant, The stochastic gravitational wave background from turbulence and magnetic fields generated by a first-order phase transition, JCAP 12 (2009) 024 [arXiv:0909.0622] [INSPIRE].CrossRefGoogle Scholar
  92. [92]
    S.R. Coleman, The Fate of the False Vacuum. 1. Semiclassical Theory, Phys. Rev. D 15 (1977) 2929 [Erratum ibid. D 16 (1977) 1248] [INSPIRE].
  93. [93]
    C.G. Callan Jr. and S.R. Coleman, The Fate of the False Vacuum. 2. First Quantum Corrections, Phys. Rev. D 16 (1977) 1762 [INSPIRE].
  94. [94]
    M. Quirós, Finite temperature field theory and phase transitions, in Proceedings, Summer School in High-energy physics and cosmology, Trieste, Italy, June 29-July 17, 1998, pp. 187-259 (1999) [hep-ph/9901312] [INSPIRE].
  95. [95]
    A. Beniwal, M. Lewicki, J.D. Wells, M. White and A.G. Williams, Gravitational wave, collider and dark matter signals from a scalar singlet electroweak baryogenesis, JHEP 08 (2017) 108 [arXiv:1702.06124] [INSPIRE].CrossRefGoogle Scholar
  96. [96]
    C.L. Wainwright, CosmoTransitions: Computing Cosmological Phase Transition Temperatures and Bubble Profiles with Multiple Fields, Comput. Phys. Commun. 183 (2012) 2006 [arXiv:1109.4189] [INSPIRE].CrossRefGoogle Scholar

Copyright information

© The Author(s) 2018

Authors and Affiliations

  • Sebastian Bruggisser
    • 1
  • Benedict von Harling
    • 1
    Email author
  • Oleksii Matsedonskyi
    • 1
  • Géraldine Servant
    • 1
    • 2
  1. 1.DESYHamburgGermany
  2. 2.II. Institute of Theoretical PhysicsUniversity of HamburgHamburgGermany

Personalised recommendations