Abstract
A recently proposed scale invariant extension of the standard model is modified such that it includes a Dark Matter candidate which can annihilate into gamma-rays. For that a non-zero U(1) Y hypercharge Q is assigned to the fermions in a QCD-like hidden sector. The Nambu-Goldstone bosons, that arise due to dynamical chiral symmetry breaking in the hidden sector, are cold Dark Matter candidates, and the extension allows them to annihilate into two photons, producing a γ-ray line spectrum. We find that the γ-ray line energy must be between 0.7 TeV and 0.9 TeV with the velocity-averaged annihilation cross section 10−30 ~ 10−26 cm3 /s for Q = 1/3. With a non-zero hypercharge Q, the hidden sector is no longer completely dark and can be directly probed by collider experiments.
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References
ATLAS collaboration, Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC, Phys. Lett. B 716 (2012) 1 [arXiv:1207.7214] [INSPIRE].
CMS collaboration, Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC, Phys. Lett. B 716 (2012) 30 [arXiv:1207.7235] [INSPIRE].
M. Holthausen, K.S. Lim and M. Lindner, Planck scale boundary conditions and the Higgs mass, JHEP 02 (2012) 037 [arXiv:1112.2415] [INSPIRE].
G. Degrassi et al., Higgs mass and vacuum stability in the Standard Model at NNLO, JHEP 08 (2012) 098 [arXiv:1205.6497] [INSPIRE].
D. Buttazzo et al., Investigating the near-criticality of the Higgs boson, JHEP 12 (2013) 089 [arXiv:1307.3536] [INSPIRE].
F. Bezrukov, M.Y. Kalmykov, B.A. Kniehl and M. Shaposhnikov, Higgs boson mass and new physics, JHEP 10 (2012) 140 [arXiv:1205.2893] [INSPIRE].
J. Kubo, K.S. Lim and M. Lindner, Electroweak symmetry breaking by QCD, arXiv:1403.4262 [INSPIRE].
S.R. Coleman and E.J. Weinberg, Radiative corrections as the origin of spontaneous symmetry breaking, Phys. Rev. D 7 (1973) 1888 [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].
R. Hempfling, The next-to-minimal Coleman-Weinberg model, Phys. Lett. B 379 (1996) 153 [hep-ph/9604278] [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].
K.A. Meissner and H. Nicolai, Conformal symmetry and the Standard Model, Phys. Lett. B 648 (2007) 312 [hep-th/0612165] [INSPIRE].
K.A. Meissner and H. Nicolai, Effective action, conformal anomaly and the issue of quadratic divergences, Phys. Lett. B 660 (2008) 260 [arXiv:0710.2840] [INSPIRE].
K.A. Meissner and H. Nicolai, Conformal invariance from non-conformal gravity, Phys. Rev. D 80 (2009) 086005 [arXiv:0907.3298] [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 and R.R. Volkas, Cosmological constant in scale-invariant theories, Phys. Rev. D 84 (2011) 075010 [arXiv:1012.4848] [INSPIRE].
R. Foot, A. Kobakhidze, K. McDonald and R. Volkas, Neutrino mass in radiatively-broken scale-invariant models, Phys. Rev. D 76 (2007) 075014 [arXiv:0706.1829] [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].
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].
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].
T. Hambye and M.H.G. Tytgat, Electroweak symmetry breaking induced by dark matter, Phys. Lett. B 659 (2008) 651 [arXiv:0707.0633] [INSPIRE].
S. Iso, N. Okada and Y. Orikasa, Classically conformal B-L extended Standard Model, Phys. Lett. B 676 (2009) 81 [arXiv:0902.4050] [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, Prog. Theor. Exp. Phys. 2013 (2013) 023B08 [arXiv:1210.2848] [INSPIRE].
M. Holthausen, M. Lindner and M.A. Schmidt, Radiative symmetry breaking of the minimal left-right symmetric model, Phys. Rev. D 82 (2010) 055002 [arXiv:0911.0710] [INSPIRE].
K. Ishiwata, Dark matter in classically scale-invariant two singlets Standard Model, Phys. Lett. B 710 (2012) 134 [arXiv:1112.2696] [INSPIRE].
V.V. Khoze, Inflation and dark matter in the Higgs portal of classically scale invariant Standard Model, JHEP 11 (2013) 215 [arXiv:1308.6338] [INSPIRE].
Y. Kawamura, Naturalness, conformal symmetry and duality, Prog. Theor. Exp. Phys. 2013 (2013) 113B04 [arXiv:1308.5069] [INSPIRE].
F. Gretsch and A. Monin, Dilaton: saving conformal symmetry, arXiv:1308.3863 [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].
V.V. Khoze and G. Ro, Leptogenesis and neutrino oscillations in the classically conformal Standard Model with the Higgs portal, JHEP 10 (2013) 075 [arXiv:1307.3764] [INSPIRE].
E. Gabrielli et al., Towards completing the Standard Model: vacuum stability, EWSB and dark matter, Phys. Rev. D 89 (2014) 015017 [arXiv:1309.6632] [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].
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].
S. Abel and A. Mariotti, Novel Higgs potentials from gauge mediation of exact scale breaking, arXiv:1312.5335 [INSPIRE].
M. Ibe, S. Matsumoto and T.T. Yanagida, Flat Higgs potential from Planck scale supersymmetry breaking, Phys. Lett. B 732 (2014) 214 [arXiv:1312.7108] [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].
V.V. Khoze, C. McCabe and G. Ro, Higgs vacuum stability from the dark matter portal, JHEP 08 (2014) 026 [arXiv:1403.4953] [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].
P.H. Chankowski, A. Lewandowski, K.A. Meissner and H. Nicolai, Softly broken conformal symmetry and the stability of the electroweak scale, arXiv:1404.0548 [INSPIRE].
C.G. Callan Jr., Broken scale invariance in scalar field theory, Phys. Rev. D 2 (1970) 1541 [INSPIRE].
K. Symanzik, Small distance behavior in field theory and power counting, Commun. Math. Phys. 18 (1970) 227 [INSPIRE].
W.A. Bardeen, On naturalness in the Standard Model, FERMILAB-CONF-95-391, Fermilab, Batavia U.S.A. (1995).
T. Hur, D.-W. Jung, P. Ko and J.Y. Lee, Electroweak symmetry breaking and cold dark matter from strongly interacting hidden sector, Phys. Lett. B 696 (2011) 262 [arXiv:0709.1218] [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].
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].
M.J. Strassler and K.M. Zurek, Echoes of a hidden valley at hadron colliders, Phys. Lett. B 651 (2007) 374 [hep-ph/0604261] [INSPIRE].
T. Han, Z. Si, K.M. Zurek and M.J. Strassler, Phenomenology of hidden valleys at hadron colliders, JHEP 07 (2008) 008 [arXiv:0712.2041] [INSPIRE].
T. Bringmann, L. Bergstrom and J. Edsjo, New gamma-ray contributions to supersymmetric dark matter annihilation, JHEP 01 (2008) 049 [arXiv:0710.3169] [INSPIRE].
G. Bertone, C.B. Jackson, G. Shaughnessy, T.M.P. Tait and A. Vallinotto, The WIMP forest: indirect detection of a chiral square, Phys. Rev. D 80 (2009) 023512 [arXiv:0904.1442] [INSPIRE].
R. Laha, K.C.Y. Ng, B. Dasgupta and S. Horiuchi, Galactic center radio constraints on gamma-ray lines from dark matter annihilation, Phys. Rev. D 87 (2013) 043516 [arXiv:1208.5488] [INSPIRE].
LAT collaboration, M. Ackermann et al., Fermi LAT search for dark matter in gamma-ray lines and the inclusive photon spectrum, Phys. Rev. D 86 (2012) 022002 [arXiv:1205.2739] [INSPIRE].
Fermi-LAT collaboration, M. Gustafsson, Fermi-LAT and the gamma-ray line search, arXiv:1310.2953 [INSPIRE].
H.E.S.S. collaboration, A. Abramowski et al., Search for photon line-like signatures from dark matter annihilations with H.E.S.S., Phys. Rev. Lett. 110 (2013) 041301 [arXiv:1301.1173] [INSPIRE].
E. Bulbul et al., Detection of an unidentified emission line in the stacked X-ray spectrum of galaxy clusters, Astrophys. J. 789 (2014) 13 [arXiv:1402.2301] [INSPIRE].
A. Boyarsky, O. Ruchayskiy, D. Iakubovskyi and J. Franse, An unidentified line in X-ray spectra of the andromeda galaxy and perseus galaxy cluster, arXiv:1402.4119 [INSPIRE].
A.D. Dolgov, S.L. Dubovsky, G.I. Rubtsov and I.I. Tkachev, Constraints on millicharged particles from Planck data, Phys. Rev. D 88 (2013) 117701 [arXiv:1310.2376] [INSPIRE].
P. Langacker and G. Steigman, Requiem for an FCHAMP? Fractionally CHArged, Massive Particle, Phys. Rev. D 84 (2011) 065040 [arXiv:1107.3131] [INSPIRE].
Y. Nambu, Axial vector current conservation in weak interactions, Phys. Rev. Lett. 4 (1960) 380 [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].
Y. Nambu and G. Jona-Lasinio, Dynamical model of elementary particles based on an analogy with superconductivity. 2, Phys. Rev. 124 (1961) 246 [INSPIRE].
S.P. Klevansky, The Nambu-Jona-Lasinio model of quantum chromodynamics, Rev. Mod. Phys. 64 (1992) 649 [INSPIRE].
T. Hatsuda and T. Kunihiro, QCD phenomenology based on a chiral effective Lagrangian, Phys. Rept. 247 (1994) 221 [hep-ph/9401310] [INSPIRE].
T. Kunihiro and T. Hatsuda, A selfconsistent mean field approach to the dynamical symmetry breaking: the effective potential of the Nambu-Jona-Lasinio model, Prog. Theor. Phys. 71 (1984) 1332 [INSPIRE].
T. Hatsuda and T. Kunihiro, Fluctuation effects in hot quark matter: precursors of chiral transition at finite temperature, Phys. Rev. Lett. 55 (1985) 158 [INSPIRE].
T. Kunihiro and T. Hatsuda, Effects of flavor mixing induced by axial anomaly on the quark condensates and meson spectra, Phys. Lett. B 206 (1988) 385 [Erratum ibid. 210 (1988) 278] [INSPIRE].
J.H. Lowenstein and W. Zimmermann, Infrared convergence of Feynman integrals for the massless A 4 model, Commun. Math. Phys. 46 (1976) 105 [INSPIRE].
J.H. Lowenstein and W. Zimmermann, The power counting theorem for Feynman integrals with massless propagators, Commun. Math. Phys. 44 (1975) 73 [Lect. Notes Phys. 558 (2000) 310] [INSPIRE].
E.C. Poggio and H.R. Quinn, The infrared behavior of zero-mass Green’s functions and the absence of quark confinement in perturbation theory, Phys. Rev. D 14 (1976) 578 [INSPIRE].
Planck collaboration, P.A.R. Ade et al., Planck 2013 results. I. Overview of products and scientific results, arXiv:1303.5062 [INSPIRE].
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].
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].
XENON1T collaboration, E. Aprile, The XENON1T dark matter search experiment, Springer Proc. Phys. 148 (2013) 93 [arXiv:1206.6288] [INSPIRE].
J.M. Jauch and F. Rohrlich, The theory of photons and electrons, Addison-Wesley Pub. Company Inc., U.S.A. (1959).
H. Suganuma and T. Tatsumi, On the behavior of symmetry and phase transitions in a strong electromagnetic field, Annals Phys. 208 (1991) 470 [INSPIRE].
S.P. Klevansky, J. Janicke and R.H. Lemmer, Collective modes of the Nambu-Jona-Lasinio model with an external U(1) gauge field, Phys. Rev. D 43 (1991) 3040 [INSPIRE].
S. Tulin, H.-B. Yu and K.M. Zurek, Three exceptions for thermal dark matter with enhanced annihilation to γγ, Phys. Rev. D 87 (2013) 036011 [arXiv:1208.0009] [INSPIRE].
S. Kanemura, S. Matsumoto, T. Nabeshima and H. Taniguchi, Testing Higgs portal dark matter via Z fusion at a linear collider, Phys. Lett. B 701 (2011) 591 [arXiv:1102.5147] [INSPIRE].
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Kubo, J., Lim, K.S. & Lindner, M. Gamma-ray line from Nambu-Goldstone dark matter in a scale invariant extension of the Standard Model. J. High Energ. Phys. 2014, 16 (2014). https://doi.org/10.1007/JHEP09(2014)016
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DOI: https://doi.org/10.1007/JHEP09(2014)016