Abstract
We study the perspective to observe lepton number violating signatures from heavy Majorana neutrino decays at colliders in view of the requirement to explain the light neutrino masses via the seesaw mechanism. In the minimal model with only two heavy neutrinos and in the νMSM one can identify three distinct regions in the mass- mixing plane. For Majorana masses above the electroweak scale the branching ratio for lepton number violating processes at the LHC is generically suppressed. For masses well below the electroweak scale that are probed in displaced vertex searches or at fixed target experiments lepton number violation is the rule and can only be avoided at the cost of fine tuning. In between there is a mass regime where both possibilities coexist. In models with more than two heavy neutrinos the larger parameter space allows for more freedom, but our results remain qualitatively correct unless there is a mass degeneracy amongst more than two of the heavy neutrinos.
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References
M. Drewes, The Phenomenology of Right Handed Neutrinos, Int. J. Mod. Phys. E 22 (2013) 1330019 [arXiv:1303.6912] [INSPIRE].
P. Minkowski, μ → eγ at a Rate of One Out of 109 Muon Decays?, Phys. Lett. 67B (1977) 421 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex Spinors and Unified Theories, Conf. Proc. C 790927 (1979) 315 [arXiv:1306.4669] [INSPIRE].
R.N. Mohapatra and G. Senjanovíc, Neutrino Mass and Spontaneous Parity Nonconservation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
T. Yanagida, Horizontal Symmetry and Masses of Neutrinos, Prog. Theor. Phys. 64 (1980) 1103 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Masses in SU(2) × U(1) Theories, Phys. Rev. D 22 (1980) 2227 [INSPIRE].
J. Schechter and J.W.F. Valle, Neutrino Decay and Spontaneous Violation of Lepton Number, Phys. Rev. D 25 (1982) 774 [INSPIRE].
M. Fukugita and T. Yanagida, Baryogenesis Without Grand Unification, Phys. Lett. B 174 (1986) 45 [INSPIRE].
E.K. Akhmedov, V.A. Rubakov and A.Y. Smirnov, Baryogenesis via neutrino oscillations, Phys. Rev. Lett. 81 (1998) 1359 [hep-ph/9803255] [INSPIRE].
T. Asaka and M. Shaposhnikov, The νMSM, dark matter and baryon asymmetry of the universe, Phys. Lett. B 620 (2005) 17 [hep-ph/0505013] [INSPIRE].
E.J. Chun et al., Probing Leptogenesis, Int. J. Mod. Phys. A 33 (2018) 1842005 [arXiv:1711.02865] [INSPIRE].
S. Dodelson and L.M. Widrow, Sterile-neutrinos as dark matter, Phys. Rev. Lett. 72 (1994) 17 [hep-ph/9303287] [INSPIRE].
X.-D. Shi and G.M. Fuller, A New dark matter candidate: Nonthermal sterile neutrinos, Phys. Rev. Lett. 82 (1999) 2832 [astro-ph/9810076] [INSPIRE].
K.N. Abazajian et al., Light Sterile Neutrinos: A White Paper, arXiv:1204.5379 [INSPIRE].
R.E. Shrock, General Theory of Weak Leptonic and Semileptonic Decays. 1. Leptonic Pseudoscalar Meson Decays, with Associated Tests For and Bounds on, Neutrino Masses and Lepton Mixing, Phys. Rev. D 24 (1981) 1232 [INSPIRE].
R.E. Shrock, General Theory of Weak Processes Involving Neutrinos. 2. Pure Leptonic Decays, Phys. Rev. D 24 (1981) 1275 [INSPIRE].
A. Atre, T. Han, S. Pascoli and B. Zhang, The Search for Heavy Majorana Neutrinos, JHEP 05 (2009) 030 [arXiv:0901.3589] [INSPIRE].
F.F. Deppisch, P.S. Bhupal Dev and A. Pilaftsis, Neutrinos and Collider Physics, New J. Phys. 17 (2015) 075019 [arXiv:1502.06541] [INSPIRE].
M. Lindner, M. Platscher and F.S. Queiroz, A Call for New Physics: The Muon Anomalous Magnetic Moment and Lepton Flavor Violation, Phys. Rept. 731 (2018) 1 [arXiv:1610.06587] [INSPIRE].
Y. Cai, T. Han, T. Li and R. Ruiz, Lepton Number Violation: Seesaw Models and Their Collider Tests, Front. in Phys. 6 (2018) 40 [arXiv:1711.02180] [INSPIRE].
S. Antusch, E. Cazzato and O. Fischer, Sterile neutrino searches at future e− e+ , pp and e− p colliders, Int. J. Mod. Phys. A 32 (2017) 1750078 [arXiv:1612.02728] [INSPIRE].
J. Beacham et al., Physics Beyond Colliders at CERN: Beyond the Standard Model Working Group Report, arXiv:1901.09966 [INSPIRE].
J. Alimena et al., Searching for Long-Lived Particles beyond the Standard Model at the Large Hadron Collider, arXiv:1903.04497 [INSPIRE].
ATLAS collaboration, Search for heavy Majorana or Dirac neutrinos and right-handed W gauge bosons in final states with two charged leptons and two jets at \( \sqrt{s} \) = 13 TeV with the ATLAS detector, JHEP 01 (2019) 016 [arXiv:1809.11105] [INSPIRE].
CMS collaboration, Search for heavy Majorana neutrinos in same-sign dilepton channels in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, JHEP 01 (2019) 122 [arXiv:1806.10905] [INSPIRE].
LHCb collaboration, Search for Majorana neutrinos in B− → π+ μ− μ− decays, Phys. Rev. Lett. 112 (2014) 131802 [arXiv:1401.5361] [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].
J. Gluza, On teraelectronvolt Majorana neutrinos, Acta Phys. Polon. B 33 (2002) 1735 [hep-ph/0201002] [INSPIRE].
M. Shaposhnikov, A Possible symmetry of the nuMSM, Nucl. Phys. B 763 (2007) 49 [hep-ph/0605047] [INSPIRE].
K. Moffat, S. Pascoli and C. Weiland, Equivalence between massless neutrinos and lepton number conservation in fermionic singlet extensions of the Standard Model, arXiv:1712.07611 [INSPIRE].
C.-H. Lee, P.S. Bhupal Dev and R.N. Mohapatra, Natural TeV-scale left-right seesaw mechanism for neutrinos and experimental tests, Phys. Rev. D 88 (2013) 093010 [arXiv:1309.0774] [INSPIRE].
G. Cvetič, C. Dib, S.K. Kang and C.S. Kim, Probing Majorana neutrinos in rare K and D, Ds, B, Bc meson decays, Phys. Rev. D 82 (2010) 053010 [arXiv:1005.4282] [INSPIRE].
G. Cvetič, C. Dib, C.S. Kim and J. Zamora-Saa, Probing the Majorana neutrinos and their CP-violation in decays of charged scalar mesons π, K, D, Ds , B, Bc , Symmetry 7 (2015) 726 [arXiv:1503.01358] [INSPIRE].
G. Cvetič, C.S. Kim, R. Kogerler and J. Zamora-Saa, Oscillation of heavy sterile neutrino in decay of B → μeπ, Phys. Rev. D 92 (2015) 013015 [arXiv:1505.04749] [INSPIRE].
C.O. Dib, C.S. Kim, K. Wang and J. Zhang, Distinguishing Dirac/Majorana Sterile Neutrinos at the LHC, Phys. Rev. D 94 (2016) 013005 [arXiv:1605.01123] [INSPIRE].
G. Anamiati, M. Hirsch and E. Nardi, Quasi-Dirac neutrinos at the LHC, JHEP 10 (2016) 010 [arXiv:1607.05641] [INSPIRE].
A. Das, P.S.B. Dev and R.N. Mohapatra, Same Sign versus Opposite Sign Dileptons as a Probe of Low Scale Seesaw Mechanisms, Phys. Rev. D 97 (2018) 015018 [arXiv:1709.06553] [INSPIRE].
C.O. Dib, C.S. Kim and K. Wang, Signatures of Dirac and Majorana sterile neutrinos in trilepton events at the LHC, Phys. Rev. D 95 (2017) 115020 [arXiv:1703.01934] [INSPIRE].
S. Antusch, E. Cazzato and O. Fischer, Resolvable heavy neutrino-antineutrino oscillations at colliders, Mod. Phys. Lett. A 34 (2019) 1950061 [arXiv:1709.03797] [INSPIRE].
S. Antusch et al., Probing Leptogenesis at Future Colliders, JHEP 09 (2018) 124 [arXiv:1710.03744] [INSPIRE].
G. Cvetič, A. Das and J. Zamora-Saá, Probing heavy neutrino oscillations in rare W boson decays, J. Phys. G 46 (2019) 075002 [arXiv:1805.00070] [INSPIRE].
P. Hernández, J. Jones-Pérez and O. Suarez-Navarro, Majorana vs Pseudo-Dirac Neutrinos at the ILC, Eur. Phys. J. C 79 (2019) 220 [arXiv:1810.07210] [INSPIRE].
G. Cvetič, A. Das, S. Tapia and J. Zamora-Saá, Measuring the heavy neutrino oscillations in rare W boson decays at the Large Hadron Collider, arXiv:1905.03097 [INSPIRE].
A. Abada, C. Hati, X. Marcano and A.M. Teixeira, Interference effects in LNV and LFV semileptonic decays: the Majorana hypothesis, JHEP 09 (2019) 017 [arXiv:1904.05367] [INSPIRE].
J. Gluza and T. Jeliński, Heavy neutrinos and the pp → lljj CMS data, Phys. Lett. B 748 (2015) 125 [arXiv:1504.05568] [INSPIRE].
J. Gluza, T. Jelinski and R. Szafron, Lepton number violation and ‘Diracness’ of massive neutrinos composed of Majorana states, Phys. Rev. D 93 (2016) 113017 [arXiv:1604.01388] [INSPIRE].
A. Pilaftsis, Resonant CP-violation induced by particle mixing in transition amplitudes, Nucl. Phys. B 504 (1997) 61 [hep-ph/9702393] [INSPIRE].
S. Bray, J.S. Lee and A. Pilaftsis, Resonant CP-violation due to heavy neutrinos at the LHC, Nucl. Phys. B 786 (2007) 95 [hep-ph/0702294] [INSPIRE].
CMS collaboration, Search for heavy neutral leptons in events with three charged leptons in proton-proton collisions at \( \sqrt{s} \) = 13 TeV, Phys. Rev. Lett. 120 (2018) 221801 [arXiv:1802.02965] [INSPIRE].
ATLAS collaboration, Search for heavy neutral leptons in decays of W bosons produced in 13 TeV pp collisions using prompt and displaced signatures with the ATLAS detector, arXiv:1905.09787 [INSPIRE].
A. Abada, G. Arcadi, V. Domcke, M. Drewes, J. Klaric and M. Lucente, Low-scale leptogenesis with three heavy neutrinos, JHEP 01 (2019) 164 [arXiv:1810.12463] [INSPIRE].
D. Wyler and L. Wolfenstein, Massless Neutrinos in Left-Right Symmetric Models, Nucl. Phys. B 218 (1983) 205 [INSPIRE].
R.N. Mohapatra, Mechanism for Understanding Small Neutrino Mass in Superstring Theories, Phys. Rev. Lett. 56 (1986) 561 [INSPIRE].
R.N. Mohapatra and J.W.F. Valle, Neutrino Mass and Baryon Number Nonconservation in Superstring Models, Phys. Rev. D 34 (1986) 1642 [INSPIRE].
J. Bernabeu, A. Santamaria, J. Vidal, A. Mendez and J.W.F. Valle, Lepton Flavor Nonconservation at High-Energies in a Superstring Inspired Standard Model, Phys. Lett. B 187 (1987) 303 [INSPIRE].
E.K. Akhmedov, M. Lindner, E. Schnapka and J.W.F. Valle, Left-right symmetry breaking in NJLS approach, Phys. Lett. B 368 (1996) 270 [hep-ph/9507275] [INSPIRE].
E.K. Akhmedov, M. Lindner, E. Schnapka and J.W.F. Valle, Dynamical left-right symmetry breaking, Phys. Rev. D 53 (1996) 2752 [hep-ph/9509255] [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].
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.L. Bezrukov, nu MSM-predictions for neutrinoless double beta decay, Phys. Rev. D 72 (2005) 071303 [hep-ph/0505247] [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].
A. Pilaftsis and T.E.J. Underwood, Resonant leptogenesis, Nucl. Phys. B 692 (2004) 303 [hep-ph/0309342] [INSPIRE].
L. Canetti, M. Drewes, T. Frossard and M. Shaposhnikov, Dark Matter, Baryogenesis and Neutrino Oscillations from Right Handed Neutrinos, Phys. Rev. D 87 (2013) 093006 [arXiv:1208.4607] [INSPIRE].
D. Boyanovsky, Nearly degenerate heavy sterile neutrinos in cascade decay: mixing and oscillations, Phys. Rev. D 90 (2014) 105024 [arXiv:1409.4265] [INSPIRE].
B. Kayser, Majorana Neutrinos and their Electromagnetic Properties, Phys. Rev. D 26 (1982) 1662 [INSPIRE].
C. Arbelaéz, C. Dib, I. Schmidt and J.C. Vasquez, Probing the Dirac or Majorana nature of the Heavy Neutrinos in pure leptonic decays at the LHC, Phys. Rev. D 97 (2018) 055011 [arXiv:1712.08704] [INSPIRE].
A.B. Balantekin, A. de Gouvêa and B. Kayser, Addressing the Majorana vs. Dirac Question with Neutrino Decays, Phys. Lett. B 789 (2019) 488 [arXiv:1808.10518] [INSPIRE].
D. Gorbunov and M. Shaposhnikov, How to find neutral leptons of the νMSM?, JHEP 10 (2007) 015 [Erratum ibid. 11 (2013) 101] [arXiv:0705.1729] [INSPIRE].
M. Drewes and B. Garbrecht, Combining experimental and cosmological constraints on heavy neutrinos, Nucl. Phys. B 921 (2017) 250 [arXiv:1502.00477] [INSPIRE].
M. Shaposhnikov, The nuMSM, leptonic asymmetries and properties of singlet fermions, JHEP 08 (2008) 008 [arXiv:0804.4542] [INSPIRE].
A. Pilaftsis, Radiatively induced neutrino masses and large Higgs neutrino couplings in the standard model with Majorana fields, Z. Phys. C 55 (1992) 275 [hep-ph/9901206] [INSPIRE].
A. Roy and M. Shaposhnikov, Resonant production of the sterile neutrino dark matter and fine-tunings in the [nu] MSM, Phys. Rev. D 82 (2010) 056014 [arXiv:1006.4008] [INSPIRE].
J. Lopez-Pavon, E. Molinaro and S.T. Petcov, Radiative Corrections to Light Neutrino Masses in Low Scale Type I Seesaw Scenarios and Neutrinoless Double Beta Decay, JHEP 11 (2015) 030 [arXiv:1506.05296] [INSPIRE].
A. Boyarsky, A. Neronov, O. Ruchayskiy and M. Shaposhnikov, The Masses of active neutrinos in the nuMSM from X-ray astronomy, JETP Lett. 83 (2006) 133 [hep-ph/0601098] [INSPIRE].
J.A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys. B 618 (2001) 171 [hep-ph/0103065] [INSPIRE].
M. Drewes, B. Garbrecht, D. Gueter and J. Klaric, Testing the low scale seesaw and leptogenesis, JHEP 08 (2017) 018 [arXiv:1609.09069] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, arXiv:1807.06209 [INSPIRE].
S. Antusch and O. Fischer, Non-unitarity of the leptonic mixing matrix: Present bounds and future sensitivities, JHEP 10 (2014) 094 [arXiv:1407.6607] [INSPIRE].
M. Drewes, On the Minimal Mixing of Heavy Neutrinos, arXiv:1904.11959 [INSPIRE].
K. Bondarenko, A. Boyarsky, D. Gorbunov and O. Ruchayskiy, Phenomenology of GeV-scale Heavy Neutral Leptons, JHEP 11 (2018) 032 [arXiv:1805.08567] [INSPIRE].
S. Pascoli, R. Ruiz and C. Weiland, Heavy neutrinos with dynamic jet vetoes: multilepton searches at \( \sqrt{s} \) = 14, 27 and 100 TeV, JHEP 06 (2019) 049 [arXiv:1812.08750] [INSPIRE].
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Drewes, M., Klaríc, J. & Klose, P. On lepton number violation in heavy neutrino decays at colliders. J. High Energ. Phys. 2019, 32 (2019). https://doi.org/10.1007/JHEP11(2019)032
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DOI: https://doi.org/10.1007/JHEP11(2019)032