Abstract
We study the inverse seesaw mechanism for neutrino masses and phenomenological consequences in the context of conformal electro-weak symmetry breaking. The main difference to the usual case is that all explicit fermion mass terms including Majorana masses for neutrinos are forbidden. All fermion mass terms arise therefore from vacuum expectation values of suitable scalars times some Yukawa couplings. This leads to interesting consequences for model building, neutrino mass phenomenology and the Dark Matter abundance. In the context of the inverse seesaw we find a favoured scenario with heavy pseudo-Dirac sterile neutrinos at the TeV scale, which in the conformal framework conspire with the electro-weak scale to generate keV scale warm Dark Matter. The mass scale relations provide naturally the correct relic abundance due to a freeze-in mechanism. We demonstrate also how conformal symmetry decouples the right-handed neutrino mass scale and effective lepton number violation. We find that lepton flavour violating processes can be well within the reach of modern experiments. Furthermore, interesting decay signatures are expected at the LHC.
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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].
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. McDonald and R. Volkas, Neutrino mass in radiatively-broken scale-invariant models, Phys. Rev. D 76 (2007) 075014 [arXiv:0706.1829] [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].
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].
S. Iso, N. Okada and Y. Orikasa, Classically conformal B − L extended Standard Model, Phys. Lett. B 676 (2009) 81 [arXiv:0902.4050] [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].
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].
R. Foot, A. Kobakhidze and R.R. Volkas, Cosmological constant in scale-invariant theories, Phys. Rev. D 84 (2011) 075010 [arXiv:1012.4848] [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, PTEP 2013 (2013) 113B04 [arXiv:1308.5069] [INSPIRE].
F. Gretsch and A. Monin, Dilaton: Saving Conformal Symmetry, arXiv:1308.3863 [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].
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.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].
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, Phys. Rev. D 89 (2014) 125018 [arXiv:1312.5335] [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].
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].
L. Alexander-Nunneley and A. Pilaftsis, The Minimal Scale Invariant Extension of the Standard Model, JHEP 09 (2010) 021 [arXiv:1006.5916] [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].
J. Smirnov, Regularization of Vacuum Fluctuations and Frame Dependence, arXiv:1402.1490 [INSPIRE].
A. Salvio and A. Strumia, Agravity, JHEP 06 (2014) 080 [arXiv:1403.4226] [INSPIRE].
K. Kannike, A. Racioppi and M. Raidal, Embedding inflation into the Standard Model — more evidence for classical scale invariance, JHEP 06 (2014) 154 [arXiv:1405.3987] [INSPIRE].
K. Kannike et al., Dynamically Induced Planck Scale and Inflation, JHEP 05 (2015) 065 [arXiv:1502.01334] [INSPIRE].
P.H. Chankowski, A. Lewandowski, K.A. Meissner and H. Nicolai, Softly broken conformal symmetry and the stability of the electroweak scale, Mod. Phys. Lett. A 30 (2015) 1550006 [arXiv:1404.0548] [INSPIRE].
H. Okada and Y. Orikasa, Classically Conformal Radiative Neutrino Model with Gauged B-L Symmetry, arXiv:1412.3616 [INSPIRE].
J. Guo, Z. Kang, P. Ko and Y. Orikasa, Accidental Dark Matter: Case in the Scale Invariant Local B − L Models, arXiv:1502.00508 [INSPIRE].
S. Baek, H. Okada and K. Yagyu, Flavour Dependent Gauged Radiative Neutrino Mass Model, JHEP 04 (2015) 049 [arXiv:1501.01530] [INSPIRE].
H. Hatanaka, K. Nishiwaki, H. Okada and Y. Orikasa, A Three-Loop Neutrino Model with Global U(1) Symmetry, Nucl. Phys. B 894 (2015) 268 [arXiv:1412.8664] [INSPIRE].
Z. Kang, FImP Miracle of Sterile Neutrino Dark Matter by Scale Invariance, arXiv:1411.2773 [INSPIRE].
Y. Cai, J.D. Clarke, M.A. Schmidt and R.R. Volkas, Testing Radiative Neutrino Mass Models at the LHC, JHEP 02 (2015) 161 [arXiv:1410.0689] [INSPIRE].
S. Benic and B. Radovcic, Majorana dark matter in a classically scale invariant model, JHEP 01 (2015) 143 [arXiv:1409.5776] [INSPIRE].
A. Gorsky, A. Mironov, A. Morozov and T.N. Tomaras, Is the Standard Model saved asymptotically by conformal symmetry?, J. Exp. Theor. Phys. 120 (2015) 344 [arXiv:1409.0492] [INSPIRE].
H. Okada, T. Toma and K. Yagyu, Inert Extension of the Zee-Babu Model, Phys. Rev. D 90 (2014) 095005 [arXiv:1408.0961] [INSPIRE].
H. Okada and Y. Orikasa, X-ray line in Radiative Neutrino Model with Global U(1) Symmetry, Phys. Rev. D 90 (2014) 075023 [arXiv:1407.2543] [INSPIRE].
V.V. Khoze and G. Ro, Dark matter monopoles, vectors and photons, JHEP 1410 (2014) 61 [arXiv:1406.2291] [INSPIRE].
M. Lattanzi, R.A. Lineros and M. Taoso, Connecting neutrino physics with dark matter, New J. Phys. 16 (2014) 125012 [arXiv:1406.0004] [INSPIRE].
E. Akhmedov, A. Kartavtsev, M. Lindner, L. Michaels and J. Smirnov, Improving Electro-Weak Fits with TeV-scale Sterile Neutrinos, JHEP 05 (2013) 081 [arXiv:1302.1872] [INSPIRE].
E. Akhmedov, A. Kartavtsev, M. Lindner, L. Michaels and J. Smirnov, Impact of TeV-scale sterile neutrinos on precision low-energy observables , at 49th Rencontres de Moriond on Electroweak Interactions and Unified Theories, La Thuile Italy (2014).
P.S.B. Dev, S. Goswami and M. Mitra, TeV Scale Left-Right Symmetry and Large Mixing Effects in Neutrinoless Double Beta Decay, arXiv:1405.1399 [INSPIRE].
A. Abada, V. De Romeri and A.M. Teixeira, Effect of steriles states on lepton magnetic moments and neutrinoless double beta decay, JHEP 09 (2014) 074 [arXiv:1406.6978] [INSPIRE].
W.A. Bardeen, On naturalness in the standard model, FERMILAB-CONF-95-391, C95-08-27.3 (1995).
M. Lindner, S. Schmidt and J. Smirnov, Neutrino Masses and Conformal Electro-Weak Symmetry Breaking, JHEP 10 (2014) 177 [arXiv:1405.6204] [INSPIRE].
L. Basso, O. Fischer and J.J. van der Bij, Natural Z’ model with an inverse seesaw mechanism and leptonic dark matter, Phys. Rev. D 87 (2013) 035015 [arXiv:1207.3250] [INSPIRE].
E. Gildener and S. Weinberg, Symmetry Breaking and Scalar Bosons, Phys. Rev. D 13 (1976) 3333 [INSPIRE].
A. Abada and M. Lucente, Looking for the minimal inverse seesaw realisation, Nucl. Phys. B 885 (2014) 651 [arXiv:1401.1507] [INSPIRE].
J.A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys. B 618 (2001) 171 [hep-ph/0103065] [INSPIRE].
S. Antusch, C. Biggio, E. Fernandez-Martinez, M.B. Gavela and J. Lopez-Pavon, Unitarity of the Leptonic Mixing Matrix, JHEP 10 (2006) 084 [hep-ph/0607020] [INSPIRE].
S. Antusch and O. Fischer, Non-unitarity of the leptonic mixing matrix: Present bounds and future sensitivities, JHEP 1410 (2014) 94 [arXiv:1407.6607] [INSPIRE].
W. Loinaz, N. Okamura, S. Rayyan, T. Takeuchi and L.C.R. Wijewardhana, The NuTeV anomaly, lepton universality and nonuniversal neutrino gauge couplings, Phys. Rev. D 70 (2004) 113004 [hep-ph/0403306] [INSPIRE].
M. Blennow, E. Fernandez-Martinez, J. Lopez-Pavon and J. Menendez, Neutrinoless double beta decay in seesaw models, JHEP 07 (2010) 096 [arXiv:1005.3240] [INSPIRE].
GERDA collaboration, M. Agostini et al., Results on Neutrinoless Double-β Decay of 76 Ge from Phase I of the GERDA Experiment, Phys. Rev. Lett. 111 (2013) 122503 [arXiv:1307.4720] [INSPIRE].
MEG collaboration, J. Adam et al., New constraint on the existence of the μ + → e +γ decay, Phys. Rev. Lett. 110 (2013) 201801 [arXiv:1303.0754] [INSPIRE].
A.M. Baldini et al., MEG Upgrade Proposal, arXiv:1301.7225 [INSPIRE].
SINDRUM collaboration, U. Bellgardt et al., Search for the Decay μ + → e + e + e −, Nucl. Phys. B 299 (1988) 1 [INSPIRE].
A. Blondel et al., Research Proposal for an Experiment to Search for the Decay μ → eee, arXiv:1301.6113 [INSPIRE].
K. Abazajian and S.M. Koushiappas, Constraints on Sterile Neutrino Dark Matter, Phys. Rev. D 74 (2006) 023527 [astro-ph/0605271] [INSPIRE].
S. Tremaine and J.E. Gunn, Dynamical Role of Light Neutral Leptons in Cosmology, Phys. Rev. Lett. 42 (1979) 407 [INSPIRE].
S. Dodelson and L.M. Widrow, Sterile-neutrinos as dark matter, Phys. Rev. Lett. 72 (1994) 17 [hep-ph/9303287] [INSPIRE].
A. Abada, G. Arcadi and M. Lucente, Dark Matter in the minimal Inverse Seesaw mechanism, arXiv:1406.6556 [INSPIRE].
A. Boyarsky, O. Ruchayskiy, D. Iakubovskyi and J. Franse, Unidentified Line in X-Ray Spectra of the Andromeda Galaxy and Perseus Galaxy Cluster, Phys. Rev. Lett. 113 (2014) 251301 [arXiv:1402.4119] [INSPIRE].
W.-Y. Keung and G. Senjanović, Majorana Neutrinos and the Production of the Right-handed Charged Gauge Boson, Phys. Rev. Lett. 50 (1983) 1427 [INSPIRE].
A. Abada, A.M. Teixeira, A. Vicente and C. Weiland, Sterile neutrinos in leptonic and semileptonic decays, JHEP 02 (2014) 091 [arXiv:1311.2830] [INSPIRE].
A. Abada, V. De Romeri, S. Monteil, J. Orloff and A.M. Teixeira, Indirect searches for sterile neutrinos at a high-luminosity Z-factory, JHEP 04 (2015) 051 [arXiv:1412.6322] [INSPIRE].
S. Antusch and O. Fischer, Testing sterile neutrino extensions of the Standard Model at future lepton colliders, JHEP 05 (2015) 053 [arXiv:1502.05915] [INSPIRE].
F.M.L. Almeida Jr., Y.A. Coutinho, J.A. Martins Simoes and M.A.B. do Vale, On a signature for heavy Majorana neutrinos in hadronic collisions, Phys. Rev. D 62 (2000) 075004 [hep-ph/0002024] [INSPIRE].
J. Kersten and A.Y. Smirnov, Right-Handed Neutrinos at CERN LHC and the Mechanism of Neutrino Mass Generation, Phys. Rev. D 76 (2007) 073005 [arXiv:0705.3221] [INSPIRE].
A. Das and N. Okada, Inverse seesaw neutrino signatures at the LHC and ILC, Phys. Rev. D 88 (2013) 113001 [arXiv:1207.3734] [INSPIRE].
A. Das, P.S. Bhupal Dev and N. Okada, Direct bounds on electroweak scale pseudo-Dirac neutrinos from \( \sqrt{s}=8 \) TeV LHC data, Phys. Lett. B 735 (2014) 364 [arXiv:1405.0177] [INSPIRE].
CMS collaboration, Search for physics beyond the standard model in events with two opposite-sign same-flavor leptons, jets and missing transverse energy in pp collisions at \( \sqrt{s}=8 \) TeV, CMS-PAS-SUS-12-019 (2014).
CMS collaboration, Search for heavy neutrinos and W bosons with right-handed couplings in proton-proton collisions at \( \sqrt{s}=8 \) TeV, Eur. Phys. J. C 74 (2014) 3149 [arXiv:1407.3683] [INSPIRE].
CMS collaboration, Search for new physics in events with same-sign dileptons and jets in pp collisions at \( \sqrt{s}=8 \) TeV, JHEP 01 (2014) 163 [arXiv:1311.6736] [INSPIRE].
P.S.B. Dev, A. Pilaftsis and U.-k. Yang, New Production Mechanism for Heavy Neutrinos at the LHC, Phys. Rev. Lett. 112 (2014) 081801 [arXiv:1308.2209] [INSPIRE].
C. Anastasiou, S. Buehler, F. Herzog and A. Lazopoulos, Inclusive Higgs boson cross-section for the LHC at 8 TeV, JHEP 04 (2012) 004 [arXiv:1202.3638] [INSPIRE].
Particle Data Group collaboration, K. Olive et al., Review of Particle Physics, Chinese Phys. C 38 (2014) 090001.
CMS collaboration, Searches for new physics using the \( t\overline{t} \) invariant mass distribution in pp collisions at \( \sqrt{s}=8 \) TeV, Phys. Rev. Lett. 111 (2013) 211804 [arXiv:1309.2030] [INSPIRE].
ATLAS collaboration, Measurement of top-quark pair differential cross-sections in the l+jets channel in pp collisions at \( \sqrt{s}=7 \) TeV using the ATLAS detector, ATLAS-CONF-2013-099 (2013).
CMS collaboration, The CMS experiment at the CERN LHC, 2008 JINST 3 S08004 [INSPIRE].
CMS collaboration, Projected Performance of an Upgraded CMS Detector at the LHC and HL-LHC: Contribution to the Snowmass Process, arXiv:1307.7135 [INSPIRE].
ATLAS collaboration, Search for high-mass states with one lepton plus missing transverse momentum in pp collisions at \( \sqrt{s}=8 \) TeV with the ATLAS detector, ATLAS-CONF-2014-017 (2014).
T. Asaka, S. Blanchet and M. Shaposhnikov, The nuMSM, dark matter and neutrino masses, Phys. Lett. B 631 (2005) 151 [hep-ph/0503065] [INSPIRE].
F. Bezrukov, H. Hettmansperger and M. Lindner, keV sterile neutrino Dark Matter in gauge extensions of the Standard Model, Phys. Rev. D 81 (2010) 085032 [arXiv:0912.4415] [INSPIRE].
X. Chu, T. Hambye and M.H.G. Tytgat, The Four Basic Ways of Creating Dark Matter Through a Portal, JCAP 05 (2012) 034 [arXiv:1112.0493] [INSPIRE].
L.J. Hall, K. Jedamzik, J. March-Russell and S.M. West, Freeze-In Production of FIMP Dark Matter, JHEP 03 (2010) 080 [arXiv:0911.1120] [INSPIRE].
A. Merle, V. Niro and D. Schmidt, New Production Mechanism for keV Sterile Neutrino Dark Matter by Decays of Frozen-In Scalars, JCAP 03 (2014) 028 [arXiv:1306.3996] [INSPIRE].
M. Klasen and C.E. Yaguna, Warm and cold fermionic dark matter via freeze-in, JCAP 11 (2013) 039 [arXiv:1309.2777] [INSPIRE].
A.D. Dolgov and S.H. Hansen, Massive sterile neutrinos as warm dark matter, Astropart. Phys. 16 (2002) 339 [hep-ph/0009083] [INSPIRE].
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Humbert, P., Lindner, M. & Smirnov, J. The inverse seesaw in conformal electro-weak symmetry breaking and phenomenological consequences. J. High Energ. Phys. 2015, 35 (2015). https://doi.org/10.1007/JHEP06(2015)035
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DOI: https://doi.org/10.1007/JHEP06(2015)035