Abstract
We consider the strong dynamics associated with a composite Higgs model that simultaneously produces dynamical axions and solves the strong CP problem. The strong dynamics arises from a new Sp or SU(4) hypercolor gauge group containing QCD colored hyperfermions that confines at a high scale. The hypercolor global symmetry is weakly gauged by the Standard Model electroweak gauge group and an enlarged color group, SU(N + 3) × SU(N)′. When hyperfermion condensates form, they not only lead to an SU(5)/SO(5) composite Higgs model but also spontaneously break the enlarged color group to SU(3)c × SU(N)D. At lower energies, the SU(N)D group confines, producing two dynamical axions that eliminates all CP violation. Furthermore, small instantons from the SU(N)′ group can enhance the axion mass, giving rise to TeV scale axion masses that can be detected at collider experiments. Our model provides a way to unify the composite Higgs with dynamical axions, without introducing new elementary scalar fields, while also extending the range of axion masses that addresses the strong CP problem.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
R.D. Peccei and H.R. Quinn, CP Conservation in the Presence of Instantons, Phys. Rev. Lett. 38 (1977) 1440 [INSPIRE].
R.D. Peccei and H.R. Quinn, Constraints Imposed by CP Conservation in the Presence of Instantons, Phys. Rev. D 16 (1977) 1791 [INSPIRE].
S. Weinberg, A New Light Boson?, Phys. Rev. Lett. 40 (1978) 223 [INSPIRE].
F. Wilczek, Problem of Strong P and T Invariance in the Presence of Instantons, Phys. Rev. Lett. 40 (1978) 279 [INSPIRE].
G. Grilli di Cortona, E. Hardy, J. Pardo Vega and G. Villadoro, The QCD axion, precisely, JHEP 01 (2016) 034 [arXiv:1511.02867] [INSPIRE].
B. Holdom and M.E. Peskin, Raising the Axion Mass, Nucl. Phys. B 208 (1982) 397 [INSPIRE].
M. Dine and N. Seiberg, String Theory and the Strong CP Problem, Nucl. Phys. B 273 (1986) 109 [INSPIRE].
J.M. Flynn and L. Randall, A Computation of the Small Instanton Contribution to the Axion Potential, Nucl. Phys. B 293 (1987) 731 [INSPIRE].
P. Agrawal and K. Howe, Factoring the Strong CP Problem, JHEP 12 (2018) 029 [arXiv:1710.04213] [INSPIRE].
J. Fuentes-Martín, M. Reig and A. Vicente, Strong C P problem with low-energy emergent QCD: The 4321 case, Phys. Rev. D 100 (2019) 115028 [arXiv:1907.02550] [INSPIRE].
C. Csáki, M. Ruhdorfer and Y. Shirman, UV Sensitivity of the Axion Mass from Instantons in Partially Broken Gauge Groups, JHEP 04 (2020) 031 [arXiv:1912.02197] [INSPIRE].
T. Gherghetta, V.V. Khoze, A. Pomarol and Y. Shirman, The Axion Mass from 5D Small Instantons, JHEP 03 (2020) 063 [arXiv:2001.05610] [INSPIRE].
T. Gherghetta, N. Nagata and M. Shifman, A Visible QCD Axion from an Enlarged Color Group, Phys. Rev. D 93 (2016) 115010 [arXiv:1604.01127] [INSPIRE].
M.K. Gaillard, M.B. Gavela, R. Houtz, P. Quilez and R. Del Rey, Color unified dynamical axion, Eur. Phys. J. C 78 (2018) 972 [arXiv:1805.06465] [INSPIRE].
G. Panico and A. Wulzer, The Composite Nambu-Goldstone Higgs, vol. 913, Springer (2016), [DOI] [arXiv:1506.01961] [INSPIRE].
J. Barnard, T. Gherghetta and T.S. Ray, UV descriptions of composite Higgs models without elementary scalars, JHEP 02 (2014) 002 [arXiv:1311.6562] [INSPIRE].
G. Ferretti and D. Karateev, Fermionic UV completions of Composite Higgs models, JHEP 03 (2014) 077 [arXiv:1312.5330] [INSPIRE].
G. Ferretti, UV Completions of Partial Compositeness: The Case for a SU(4) Gauge Group, JHEP 06 (2014) 142 [arXiv:1404.7137] [INSPIRE].
M. Redi and A. Strumia, Axion-Higgs Unification, JHEP 11 (2012) 103 [arXiv:1208.6013] [INSPIRE].
J. Mrazek, A. Pomarol, R. Rattazzi, M. Redi, J. Serra and A. Wulzer, The Other Natural Two Higgs Doublet Model, Nucl. Phys. B 853 (2011) 1 [arXiv:1105.5403] [INSPIRE].
J.E. Kim, A Composite Invisible Axion, Phys. Rev. D 31 (1985) 1733 [INSPIRE].
K. Choi and J.E. Kim, Dynamical Axion, Phys. Rev. D 32 (1985) 1828 [INSPIRE].
Y. Nambu and G. Jona-Lasinio, Dynamical Model of Elementary Particles Based on an Analogy with Superconductivity. 1., Phys. Rev. 122 (1961) 345 [INSPIRE].
N. Arkani-Hamed, A.G. Cohen and H. Georgi, (De)constructing dimensions, Phys. Rev. Lett. 86 (2001) 4757 [hep-th/0104005] [INSPIRE].
H.-C. Cheng, C.T. Hill and J. Wang, Dynamical Electroweak Breaking and Latticized Extra Dimensions, Phys. Rev. D 64 (2001) 095003 [hep-ph/0105323] [INSPIRE].
H. Cai, T. Flacke and M. Lespinasse, A composite scalar hint from di-boson resonances?, arXiv:1512.04508 [INSPIRE].
A. Belyaev, G. Cacciapaglia, H. Cai, T. Flacke, A. Parolini and H. Serôdio, Singlets in composite Higgs models in light of the LHC 750 GeV diphoton excess, Phys. Rev. D 94 (2016) 015004 [arXiv:1512.07242] [INSPIRE].
G. Cacciapaglia, G. Ferretti, T. Flacke and H. Serôdio, Light scalars in composite Higgs models, Front. in Phys. 7 (2019) 22 [arXiv:1902.06890] [INSPIRE].
E. Witten, An SU(2) Anomaly, Phys. Lett. B 117 (1982) 324 [INSPIRE].
J. Wang, X.-G. Wen and E. Witten, A New SU(2) Anomaly, J. Math. Phys. 60 (2019) 052301 [arXiv:1810.00844] [INSPIRE].
M.A. Shifman and A.I. Vainshtein, On Gluino Condensation in Supersymmetric Gauge Theories. SU(N ) and O(N) Groups, Sov. Phys. JETP 66 (1987) 1100 [INSPIRE].
A.V. Smilga and M.I. Vysotsky, The massless gluino and the pseudoscalar meson family, Phys. Lett. B 125 (1983) 227 [INSPIRE].
G.R. Farrar and S. Weinberg, Supersymmetry at Ordinary Energies. 2. R Invariance, Goldstone Bosons, and Gauge Fermion Masses, Phys. Rev. D 27 (1983) 2732 [INSPIRE].
G.R. Farrar and G.T. Gabadadze, Light gluino mass and condensate from properties of eta and eta-prime, Phys. Lett. B 397 (1997) 104 [hep-ph/9608330] [INSPIRE].
P. Di Vecchia and G. Veneziano, Chiral Dynamics in the Large N Limit, Nucl. Phys. B 171 (1980) 253 [INSPIRE].
E. Witten, Current Algebra Theorems for the U(1) Goldstone Boson, Nucl. Phys. B 156 (1979) 269 [INSPIRE].
G. ’t Hooft, Computation of the Quantum Effects Due to a Four-Dimensional Pseudoparticle, Phys. Rev. D 14 (1976) 3432 [Erratum ibid. 18 (1978) 2199] [INSPIRE].
M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, Instanton Density in a Theory with Massless Quarks, Nucl. Phys. B 163 (1980) 46 [INSPIRE].
A. Karasik and Z. Komargodski, The Bi-Fundamental Gauge Theory in 3+1 Dimensions: The Vacuum Structure and a Cascade, JHEP 05 (2019) 144 [arXiv:1904.09551] [INSPIRE].
S. Dimopoulos and L. Susskind, Mass Without Scalars, Nucl. Phys. B 155 (1979) 237 [INSPIRE].
CMS collaboration, Search for pair-produced three-jet resonances in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. D 99 (2019) 012010 [arXiv:1810.10092] [INSPIRE].
ATLAS collaboration, Search for heavy charged long-lived particles in the ATLAS detector in 36.1 fb−1 of proton-proton collision data at \( \sqrt{s} \) = 13 TeV, Phys. Rev. D 99 (2019) 092007 [arXiv:1902.01636] [INSPIRE].
N. Craig, A. Katz, M. Strassler and R. Sundrum, Naturalness in the Dark at the LHC, JHEP 07 (2015) 105 [arXiv:1501.05310] [INSPIRE].
J. Barnard, T. Gherghetta, T.S. Ray and A. Spray, The Unnatural Composite Higgs, JHEP 01 (2015) 067 [arXiv:1409.7391] [INSPIRE].
G. Cacciapaglia, H. Cai, A. Deandrea, T. Flacke, S.J. Lee and A. Parolini, Composite scalars at the LHC: the Higgs, the Sextet and the Octet, JHEP 11 (2015) 201 [arXiv:1507.02283] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2007.10875
Rights and permissions
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.
About this article
Cite this article
Gherghetta, T., Nguyen, M.D. A composite Higgs with a heavy composite axion. J. High Energ. Phys. 2020, 94 (2020). https://doi.org/10.1007/JHEP12(2020)094
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP12(2020)094