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Exploring fine-tuning of the Next-to-Minimal Composite Higgs Model

  • Daniel MurnaneEmail author
  • Martin White
  • Anthony G. Williams
Open Access
Regular Article - Theoretical Physics
  • 22 Downloads

Abstract

We perform a detailed study of the fine-tuning of the two-site, 4D, Next-to-Minimal Composite Higgs Model (NMCHM), based on the global symmetry breaking pattern SO(6) → SO(5). Using our previously-defined fine-tuning measure that correctly combines the effect of multiple sources of fine-tuning, we quantify the fine-tuning that is expected to result from future collider measurements of the Standard Model-like Higgs branching ratios, in addition to null searches for the new resonances in the model. We also perform a detailed comparison with the Minimal Composite Higgs Model, finding that there is in general little difference between the fine-tuning expected in the two scenarios, even after measurements at a high-luminosity, 1 TeV linear collider. Finally, we briefly consider the relationship between fine-tuning and the ability of the extra scalar in the NMCHM model to act as a dark matter candidate, finding that the realisation of a Z2 symmetry that stabilises the scalar is amongst the most natural solutions in the parameter space, regardless of future collider measurements.

Keywords

Beyond Standard Model Technicolor and Composite Models Effective Field Theories Global Symmetries 

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]
    K. Agashe, R. Contino, L. Da Rold and A. Pomarol, A Custodial symmetry for \( Zb\overline{b} \), Phys. Lett. B 641 (2006) 62 [hep-ph/0605341] [INSPIRE].
  2. [2]
    R. Contino and A. Pomarol, The holographic composite Higgs, Comptes Rendus Physique 8 (2007) 1058.ADSCrossRefGoogle Scholar
  3. [3]
    D.B. Kaplan and H. Georgi, SU(2) × U(1) Breaking by Vacuum Misalignment, Phys. Lett. 136B (1984) 183 [INSPIRE].ADSCrossRefGoogle Scholar
  4. [4]
    D.B. Kaplan, H. Georgi and S. Dimopoulos, Composite Higgs Scalars, Phys. Lett. 136B (1984) 187 [INSPIRE].ADSCrossRefGoogle Scholar
  5. [5]
    M.J. Dugan, H. Georgi and D.B. Kaplan, Anatomy of a Composite Higgs Model, Nucl. Phys. B 254 (1985) 299 [INSPIRE].ADSCrossRefGoogle Scholar
  6. [6]
    D.B. Kaplan, Flavor at SSC energies: A New mechanism for dynamically generated fermion masses, Nucl. Phys. B 365 (1991) 259 [INSPIRE].ADSCrossRefGoogle Scholar
  7. [7]
    J. Barnard and M. White, Collider constraints on tuning in composite Higgs models, JHEP 10 (2015) 072 [arXiv:1507.02332] [INSPIRE].ADSCrossRefGoogle Scholar
  8. [8]
    D.K. Hong, S.D.H. Hsu and F. Sannino, Composite Higgs from higher representations, Phys. Lett. B 597 (2004) 89 [hep-ph/0406200] [INSPIRE].
  9. [9]
    G. Cacciapaglia and F. Sannino, Fundamental Composite (Goldstone) Higgs Dynamics, JHEP 04 (2014) 111 [arXiv:1402.0233] [INSPIRE].ADSCrossRefzbMATHGoogle Scholar
  10. [10]
    R. Contino, Y. Nomura and A. Pomarol, Higgs as a holographic pseudoGoldstone boson, Nucl. Phys. B 671 (2003) 148 [hep-ph/0306259] [INSPIRE].
  11. [11]
    K. Agashe, R. Contino and A. Pomarol, The Minimal composite Higgs model, Nucl. Phys. B 719 (2005) 165 [hep-ph/0412089] [INSPIRE].
  12. [12]
    G.F. Giudice, C. Grojean, A. Pomarol and R. Rattazzi, The Strongly-Interacting Light Higgs, JHEP 06 (2007) 045 [hep-ph/0703164] [INSPIRE].
  13. [13]
    R. Contino, L. Da Rold and A. Pomarol, Light custodians in natural composite Higgs models, Phys. Rev. D 75 (2007) 055014 [hep-ph/0612048] [INSPIRE].
  14. [14]
    B.M. Dillon, Neutral-naturalness from a holographic SO(6)/SO(5) composite Higgs model, arXiv:1806.10702 [INSPIRE].
  15. [15]
    G. Panico and A. Wulzer, The Composite Nambu-Goldstone Higgs, Lect. Notes Phys. 913 (2016) 1 [arXiv:1506.01961] [INSPIRE].CrossRefzbMATHGoogle Scholar
  16. [16]
    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].ADSCrossRefGoogle Scholar
  17. [17]
    S. De Curtis, M. Redi and A. Tesi, The 4D Composite Higgs, JHEP 04 (2012) 042 [arXiv:1110.1613] [INSPIRE].CrossRefGoogle Scholar
  18. [18]
    A. Carmona and F. Goertz, A naturally light Higgs without light Top Partners, JHEP 05 (2015) 002 [arXiv:1410.8555] [INSPIRE].ADSCrossRefGoogle Scholar
  19. [19]
    J. Barnard, D. Murnane, M. White and A.G. Williams, Constraining fine tuning in Composite Higgs Models with partially composite leptons, JHEP 09 (2017) 049 [arXiv:1703.07653] [INSPIRE].ADSCrossRefGoogle Scholar
  20. [20]
    S. Mukohyama, Ghost condensate and generalized second law, JHEP 09 (2009) 070 [arXiv:0901.3595] [INSPIRE].ADSCrossRefGoogle Scholar
  21. [21]
    M. Redi and A. Tesi, Implications of a Light Higgs in Composite Models, JHEP 10 (2012) 166 [arXiv:1205.0232] [INSPIRE].ADSCrossRefGoogle Scholar
  22. [22]
    A. Banerjee, G. Bhattacharyya and T.S. Ray, Improving Fine-tuning in Composite Higgs Models, Phys. Rev. D 96 (2017) 035040 [arXiv:1703.08011] [INSPIRE].ADSGoogle Scholar
  23. [23]
    C. Niehoff, P. Stangl and D.M. Straub, Electroweak symmetry breaking and collider signatures in the next-to-minimal composite Higgs model, JHEP 04 (2017) 117 [arXiv:1611.09356] [INSPIRE].ADSCrossRefGoogle Scholar
  24. [24]
    D. Buarque Franzosi, G. Cacciapaglia and A. Deandrea, Sigma-assisted natural composite Higgs, arXiv:1809.09146 [INSPIRE].
  25. [25]
    D. Marzocca, M. Serone and J. Shu, General Composite Higgs Models, JHEP 08 (2012) 013 [arXiv:1205.0770] [INSPIRE].ADSCrossRefGoogle Scholar
  26. [26]
    J. Serra, Beyond the Minimal Top Partner Decay, JHEP 09 (2015) 176 [arXiv:1506.05110] [INSPIRE].ADSCrossRefGoogle Scholar
  27. [27]
    R. Contino, C. Grojean, M. Moretti, F. Piccinini and R. Rattazzi, Strong Double Higgs Production at the LHC, JHEP 05 (2010) 089 [arXiv:1002.1011] [INSPIRE].ADSCrossRefGoogle Scholar
  28. [28]
    GAMBIT collaboration, Comparison of statistical sampling methods with ScannerBit, the GAMBIT scanning module, Eur. Phys. J. C 77 (2017) 761 [arXiv:1705.07959] [INSPIRE].
  29. [29]
    R. Storn and K. Price, Differential evolutiona simple and efficient heuristic for global optimization over continuous spaces, J. Glob. Optim. 11 (1997) 341.MathSciNetCrossRefzbMATHGoogle Scholar
  30. [30]
    GAMBIT collaboration, Global fits of GUT-scale SUSY models with GAMBIT, Eur. Phys. J. C 77 (2017) 824 [arXiv:1705.07935] [INSPIRE].
  31. [31]
    GAMBIT collaboration, A global fit of the MSSM with GAMBIT, Eur. Phys. J. C 77 (2017) 879 [arXiv:1705.07917] [INSPIRE].
  32. [32]
    J.M. Cornell, Global fits of scalar singlet dark matter with GAMBIT, PoS(ICHEP2016)118 (2016) [arXiv:1611.05065] [INSPIRE].
  33. [33]
    Z.-z. Xing, H. Zhang and S. Zhou, Updated Values of Running Quark and Lepton Masses, Phys. Rev. D 77 (2008) 113016 [arXiv:0712.1419] [INSPIRE].ADSGoogle Scholar
  34. [34]
    S. Fichet, Quantified naturalness from Bayesian statistics, Phys. Rev. D 86 (2012) 125029 [arXiv:1204.4940] [INSPIRE].ADSGoogle Scholar
  35. [35]
    J. Tian and K. Fujii, Measurement of Higgs boson couplings at the International Linear Collider, Nucl. Part. Phys. Proc. 273-275 (2016) 826 [INSPIRE].
  36. [36]
    Y. Gershtein et al., Working Group Report: New Particles, Forces and Dimensions, in Proceedings, 2013 Community Summer Study on the Future of U.S. Particle Physics: Snowmass on the Mississippi (CSS2013), Minneapolis, MN, U.S.A., July 29–August 6, 2013 (2013) [arXiv:1311.0299] [INSPIRE].
  37. [37]
    G. Salam and A. Weiler. Collider reach, http://collider-reach.web.cern.ch/.
  38. [38]
    M. Chala, R. Gröber and M. Spannowsky, Searches for vector-like quarks at future colliders and implications for composite Higgs models with dark matter, JHEP 03 (2018) 040 [arXiv:1801.06537] [INSPIRE].ADSCrossRefGoogle Scholar
  39. [39]
    M. Frigerio, A. Pomarol, F. Riva and A. Urbano, Composite Scalar Dark Matter, JHEP 07 (2012) 015 [arXiv:1204.2808] [INSPIRE].ADSCrossRefGoogle Scholar
  40. [40]
    ATLAS collaboration, Combined measurements of Higgs boson production and decay using up to 80 fb −1 of proton-proton collision data at \( \sqrt{s} \) = 13 TeV collected with the ATLAS experiment, ATLAS-CONF-2018-031.
  41. [41]
    Particle Data Group collaboration, Review of Particle Physics, Phys. Rev. D 98 (2018) 030001 [INSPIRE].

Copyright information

© The Author(s) 2019

Authors and Affiliations

  1. 1.ARC Centre of Excellence for Particle Physics at the Terascale, Department of PhysicsUniversity of AdelaideAdelaideAustralia

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