Abstract
Assuming that mass scales arise in nature only via dimensional transmutation, we extend the dimension-less Standard Model by adding vector-like fermions charged under a new strong gauge interaction. Their non-perturbative dynamics generates a mass scale that is transmitted to the elementary Higgs boson by electro-weak gauge interactions. In its minimal version the model has the same number of parameters as the Standard Model, predicts that the electro-weak symmetry gets broken, predicts new-physics in the multi-TeV region and is compatible with all existing bounds, provides two Dark Matter candidates stable thanks to accidental symmetries: a composite scalar in the adjoint of SU(2) L and a composite singlet fermion; their thermal relic abundance is predicted to be comparable to the measured cosmological DM abundance. Some models of this type allow for extra Yukawa couplings; DM candidates remain even if explicit masses are added.
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References
C. Kilic, T. Okui and R. Sundrum, Vectorlike confinement at the LHC, JHEP 02 (2010) 018 [arXiv:0906.0577] [INSPIRE].
M. Farina, D. Pappadopulo and A. Strumia, A modified naturalness principle and its experimental tests, JHEP 08 (2013) 022 [arXiv:1303.7244] [INSPIRE].
A. de Gouvêa, D. Hernandez and T.M.P. Tait, Criteria for natural hierarchies, Phys. Rev. D 89 (2014) 115005 [arXiv:1402.2658] [INSPIRE].
F. Englert, C. Truffin and R. Gastmans, Conformal invariance in quantum gravity, Nucl. Phys. B 117 (1976) 407 [INSPIRE].
W. Bardeen, On naturalness in the standard model, FERMILAB-CONF-95-391-T (1995).
C.T. Hill, Conjecture on the physical implications of the scale anomaly, hep-th/0510177 [INSPIRE].
A. Salvio and A. Strumia, Agravity, JHEP 06 (2014) 080 [arXiv:1403.4226] [INSPIRE].
R. Hempfling, The next-to-minimal Coleman-Weinberg model, Phys. Lett. B 379 (1996) 153 [hep-ph/9604278] [INSPIRE].
J.P. Fatelo, J.M. Gerard, T. Hambye and J. Weyers, Symmetry breaking induced by top loops, Phys. Rev. Lett. 74 (1995) 492 [INSPIRE].
T. Hambye, Symmetry breaking induced by top quark loops from a model without scalar mass, Phys. Lett. B 371 (1996) 87 [hep-ph/9510266] [INSPIRE].
W.-F. Chang, J.N. Ng and J.M.S. Wu, Shadow Higgs from a scale-invariant hidden U(1) s model, Phys. Rev. D 75 (2007) 115016 [hep-ph/0701254] [INSPIRE].
R. Foot, A. Kobakhidze and R.R. Volkas, Electroweak Higgs as a pseudo-Goldstone boson of broken scale invariance, Phys. Lett. B 655 (2007) 156 [arXiv:0704.1165] [INSPIRE].
R. Foot, A. Kobakhidze, K.L. McDonald and R.R. Volkas, A solution to the hierarchy problem from an almost decoupled hidden sector within a classically scale invariant theory, Phys. Rev. D 77 (2008) 035006 [arXiv:0709.2750] [INSPIRE].
S. Iso, N. Okada and Y. Orikasa, The minimal B-L model naturally realized at TeV scale, Phys. Rev. D 80 (2009) 115007 [arXiv:0909.0128] [INSPIRE].
S. Iso and Y. Orikasa, TeV Scale B-L model with a flat Higgs potential at the Planck scale — in view of the hierarchy problem , PTEP 2013 (2013) 023B08 [arXiv:1210.2848] [INSPIRE].
C. Englert, J. Jaeckel, V.V. Khoze and M. Spannowsky, Emergence of the electroweak scale through the Higgs portal, JHEP 04 (2013) 060 [arXiv:1301.4224] [INSPIRE].
E.J. Chun, S. Jung and H.M. Lee, Radiative generation of the Higgs potential, Phys. Lett. B 725 (2013) 158 [arXiv:1304.5815] [INSPIRE].
T. Hambye and A. Strumia, Dynamical generation of the weak and dark matter scale, Phys. Rev. D 88 (2013) 055022 [arXiv:1306.2329] [INSPIRE].
C.D. Carone and R. Ramos, Classical scale-invariance, the electroweak scale and vector dark matter, Phys. Rev. D 88 (2013) 055020 [arXiv:1307.8428] [INSPIRE].
R. Foot, A. Kobakhidze, K.L. McDonald and R.R. Volkas, Poincaré protection for a natural electroweak scale, Phys. Rev. D 89 (2014) 115018 [arXiv:1310.0223] [INSPIRE].
A. Farzinnia, H.-J. He and J. Ren, Natural electroweak symmetry breaking from scale invariant Higgs mechanism, Phys. Lett. B 727 (2013) 141 [arXiv:1308.0295] [INSPIRE].
C.T. Hill, Is the Higgs boson associated with Coleman-Weinberg dynamical symmetry breaking?, Phys. Rev. D 89 (2014) 073003 [arXiv:1401.4185] [INSPIRE].
J. Guo and Z. Kang, Higgs naturalness and dark matter stability by scale invariance, arXiv:1401.5609 [INSPIRE].
S. Benic and B. Radovcic, Electroweak breaking and dark matter from the common scale, Phys. Lett. B 732 (2014) 91 [arXiv:1401.8183] [INSPIRE].
H. Davoudiasl and I.M. Lewis, Right-handed neutrinos as the origin of the electroweak scale, Phys. Rev. D 90 (2014) 033003 [arXiv:1404.6260] [INSPIRE].
K. Allison, C.T. Hill and G.G. Ross, Ultra-weak sector, Higgs boson mass and the dilaton, Phys. Lett. B 738 (2014) 191 [arXiv:1404.6268] [INSPIRE].
G.M. Pelaggi, Predictions of a model of weak scale from dynamical breaking of scale invariance, arXiv:1406.4104 [INSPIRE].
W. Altmannshofer, W.A. Bardeen, M. Bauer, M. Carena and J.D. Lykken, Light dark matter, naturalness and the radiative origin of the electroweak scale, JHEP 01 (2015) 032 [arXiv:1408.3429] [INSPIRE].
T. Hur and P. Ko, Scale invariant extension of the standard model with strongly interacting hidden sector, Phys. Rev. Lett. 106 (2011) 141802 [arXiv:1103.2571] [INSPIRE].
M. Heikinheimo, A. Racioppi, M. Raidal, C. Spethmann and K. Tuominen, Physical naturalness and dynamical breaking of classical scale invariance, Mod. Phys. Lett. A 29 (2014) 1450077 [arXiv:1304.7006] [INSPIRE].
T. Hambye and M.H.G. Tytgat, Confined hidden vector dark matter, Phys. Lett. B 683 (2010) 39 [arXiv:0907.1007] [INSPIRE].
M. Holthausen, J. Kubo, K.S. Lim and M. Lindner, Electroweak and conformal symmetry breaking by a strongly coupled hidden sector, JHEP 12 (2013) 076 [arXiv:1310.4423] [INSPIRE].
O. Antipin, M. Redi, A. Strumia and E. Vigiani, Thermal dark matter from strong interactions, work in progress.
K. Griest and M. Kamionkowski, Unitarity limits on the mass and radius of dark matter particles, Phys. Rev. Lett. 64 (1990) 615 [INSPIRE].
B. von Harling and K. Petraki, Bound-state formation for thermal relic dark matter and unitarity, JCAP 12 (2014) 033 [arXiv:1407.7874] [INSPIRE].
G.F. Giudice, G. Isidori, A. Salvio and A. Strumia, Softened gravity and the extension of the standard model up to infinite energy, arXiv:1412.2769 [INSPIRE].
Y. Bai and R.J. Hill, Weakly interacting stable pions, Phys. Rev. D 82 (2010) 111701 [arXiv:1005.0008] [INSPIRE].
R. Pasechnik, V. Beylin, V. Kuksa and G. Vereshkov, Vector-like technineutron dark matter: is a QCD-type technicolor ruled out by XENON100?, Eur. Phys. J. C 74 (2014) 2728 [arXiv:1308.6625] [INSPIRE].
E. Witten, Some inequalities among hadron masses, Phys. Rev. Lett. 51 (1983) 2351 [INSPIRE].
D. Marzocca, A. Parolini and M. Serone, Supersymmetry with a PNGB Higgs and partial compositeness, JHEP 03 (2014) 099 [arXiv:1312.5664] [INSPIRE].
R. Contino, The Higgs as a composite Nambu-Goldstone boson, arXiv:1005.4269 [INSPIRE].
M.A. Shifman, A.I. Vainshtein and V.I. Zakharov, QCD and resonance physics. Sum rules, Nucl. Phys. B 147 (1979) 385 [INSPIRE].
M. Peskin and D.V. Schroeder, An introduction to quantum field theory, Westview Press, U.S.A. (1995).
M. Cirelli, N. Fornengo and A. Strumia, Minimal dark matter, Nucl. Phys. B 753 (2006) 178 [hep-ph/0512090] [INSPIRE].
M. Cirelli, A. Strumia and M. Tamburini, Cosmology and astrophysics of minimal dark matter, Nucl. Phys. B 787 (2007) 152 [arXiv:0706.4071] [INSPIRE].
J. Hisano, K. Ishiwata and N. Nagata, Gluon contribution to the dark matter direct detection, Phys. Rev. D 82 (2010) 115007 [arXiv:1007.2601] [INSPIRE].
R.J. Hill and M.P. Solon, Universal behavior in the scattering of heavy, weakly interacting dark matter on nuclear targets, Phys. Lett. B 707 (2012) 539 [arXiv:1111.0016] [INSPIRE].
LUX collaboration, C. Faham, First dark matter search results from the Large Underground Xenon (LUX) experiment, arXiv:1405.5906 [INSPIRE].
V. Barger, W.-Y. Keung and D. Marfatia, Electromagnetic properties of dark matter: Dipole moments and charge form factor, Phys. Lett. B 696 (2011) 74 [arXiv:1007.4345] [INSPIRE].
M. Cirelli, E. Del Nobile and P. Panci, Tools for model-independent bounds in direct dark matter searches, JCAP 10 (2013) 019 [arXiv:1307.5955] [INSPIRE].
Particle Data Group collaboration, K.A. Olive et al., Review of particle physics, Chin. Phys. C 38 (2014) 090001 [INSPIRE].
J. Kubo, K.S. Lim and M. Lindner, Electroweak symmetry breaking via QCD, Phys. Rev. Lett. 113 (2014) 091604 [arXiv:1403.4262] [INSPIRE].
W.J. Marciano, Exotic new quarks and dynamical symmetry breaking, Phys. Rev. D 21 (1980) 2425 [INSPIRE].
D. Lust, E. Papantonopoulos, K. Streng and G. Zoupanos, Phenomenology of high color fermions, Nucl. Phys. B 268 (1986) 49 [INSPIRE].
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Antipin, O., Redi, M. & Strumia, A. Dynamical generation of the weak and Dark Matter scales from strong interactions. J. High Energ. Phys. 2015, 157 (2015). https://doi.org/10.1007/JHEP01(2015)157
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DOI: https://doi.org/10.1007/JHEP01(2015)157