Abstract
We examine the compatibility between the Neutrino Option, in which the electroweak scale is generated by PeV mass type I seesaw Majorana neutrinos, and leptogenesis. We find the Neutrino Option is consistent with resonant leptogenesis. Working within the minimal seesaw scenario with two heavy Majorana neutrinos N1, 2, which form a pseudo-Dirac pair, we explore the viable parameter space. We find that the Neutrino Option and successful leptogenesis are compatible in the cases of a neutrino mass spectrum with normal (inverted) ordering for 1.2 × 106 < M(GeV) < 8.8 × 106(2.4 × 106 < M(GeV) < 7.4 × 106), with M = (M1 + M2)/2 and M1, 2 the masses of N1, 2. Successful leptogenesis requires that ∆M/M ≡ (M2 − M1)/M ∼ 10−8. We further show that leptogenesis can produce the baryon asymmetry of the Universe within the Neutrino Option scenario when the requisite CP violation in leptogenesis is provided exclusively by the Dirac or Majorana low energy CP violation phases of the PMNS matrix.
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25 February 2020
The related work by Vedran Brdar, Alexander J. Helmboldt, Sho Iwamoto and Kai Schmitz.
References
P. Minkowski, μ → eγ at a Rate of One Out of 109Muon Decays?, Phys. Lett.67B (1977) 421 [INSPIRE].
T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, Conf. Proc.C 7902131 (1979) 95 [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. Senjanović, Neutrino Mass and Spontaneous Parity Nonconservation, Phys. Rev. Lett.44 (1980) 912 [INSPIRE].
M. Fukugita and T. Yanagida, Baryogenesis Without Grand Unification, Phys. Lett.B 174 (1986) 45 [INSPIRE].
W. Buchmüller and M. Plümacher, Baryon asymmetry and neutrino mixing, Phys. Lett.B 389 (1996) 73 [hep-ph/9608308] [INSPIRE].
W. Buchmüller, P. Di Bari and M. Plümacher, Leptogenesis for pedestrians, Annals Phys.315 (2005) 305 [hep-ph/0401240] [INSPIRE].
W. Buchmüller, R.D. Peccei and T. Yanagida, Leptogenesis as the origin of matter, Ann. Rev. Nucl. Part. Sci.55 (2005) 311 [hep-ph/0502169] [INSPIRE].
A. Pilaftsis, CP violation and baryogenesis due to heavy Majorana neutrinos, Phys. Rev.D 56 (1997) 5431 [hep-ph/9707235] [INSPIRE].
A.D. Sakharov, Violation of CP Invariance, C asymmetry and baryon asymmetry of the universe, Pisma Zh. Eksp. Teor. Fiz.5 (1967) 32 [INSPIRE].
F. Vissani, Do experiments suggest a hierarchy problem?, Phys. Rev.D 57 (1998) 7027 [hep-ph/9709409] [INSPIRE].
J.D. Clarke, R. Foot and R.R. Volkas, Electroweak naturalness in the three-flavor type-I seesaw model and implications for leptogenesis, Phys. Rev.D 91 (2015) 073009 [arXiv:1502.01352] [INSPIRE].
S. Davidson and A. Ibarra, A Lower bound on the right-handed neutrino mass from leptogenesis, Phys. Lett.B 535 (2002) 25 [hep-ph/0202239] [INSPIRE].
W. Buchmüller, P. Di Bari and M. Plümacher, Cosmic microwave background, matter-antimatter asymmetry and neutrino masses, Nucl. Phys.B 643 (2002) 367 [Erratum ibid.B 793 (2008) 362] [hep-ph/0205349] [INSPIRE].
J.R. Ellis and M. Raidal, Leptogenesis and the violation of lepton number and CP at low-energies, Nucl. Phys.B 643 (2002) 229 [hep-ph/0206174] [INSPIRE].
I. Brivio and M. Trott, Radiatively Generating the Higgs Potential and Electroweak Scale via the Seesaw Mechanism, Phys. Rev. Lett.119 (2017) 141801 [arXiv:1703.10924] [INSPIRE].
I. Brivio and M. Trott, Examining the neutrino option, JHEP02 (2019) 107 [arXiv:1809.03450] [INSPIRE].
L. Wolfenstein, Different Varieties of Massive Dirac Neutrinos, Nucl. Phys.B 186 (1981) 147 [INSPIRE].
S.T. Petcov, On PseudoDirac Neutrinos, Neutrino Oscillations and Neutrinoless Double beta Decay, Phys. Lett.110B (1982) 245 [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Phys. Rev.D 98 (2018) 030001 [INSPIRE].
S.M. Bilenky, J. Hosek and S.T. Petcov, On Oscillations of Neutrinos with Dirac and Majorana Masses, Phys. Lett.94B (1980) 495 [INSPIRE].
I. Esteban, M.C. Gonzalez-Garcia, A. Hernandez-Cabezudo, M. Maltoni and T. Schwetz, Global analysis of three-flavour neutrino oscillations: synergies and tensions in the determination of θ23, δCP and the mass ordering, JHEP01 (2019) 106 [arXiv:1811.05487] [INSPIRE].
J.A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys.B 618 (2001) 171 [hep-ph/0103065] [INSPIRE].
Planck collaboration, Planck 2018 results. VI. Cosmological parameters, arXiv:1807.06209 [INSPIRE].
E. Molinaro and S.T. Petcov, The Interplay Between the ‘Low’ and ‘High’ Energy CP-Violation in Leptogenesis, Eur. Phys. J.C 61 (2009) 93 [arXiv:0803.4120] [INSPIRE].
D. Buttazzo et al., Investigating the near-criticality of the Higgs boson, JHEP12 (2013) 089 [arXiv:1307.3536] [INSPIRE].
Particle Data Group collaboration, Review of Particle Physics, Chin. Phys.C 40 (2016) 100001 [INSPIRE].
Planck collaboration, Planck 2015 results. XIII. Cosmological parameters, Astron. Astrophys.594 (2016) A13 [arXiv:1502.01589] [INSPIRE].
S. Blanchet, P. Di Bari, D.A. Jones and L. Marzola, Leptogenesis with heavy neutrino flavours: from density matrix to Boltzmann equations, JCAP01 (2013) 041 [arXiv:1112.4528] [INSPIRE].
A. Pilaftsis and T.E.J. Underwood, Resonant leptogenesis, Nucl. Phys.B 692 (2004) 303 [hep-ph/0309342] [INSPIRE].
P.S. Bhupal Dev, P. Millington, A. Pilaftsis and D. Teresi, Flavour Covariant Transport Equations: an Application to Resonant Leptogenesis, Nucl. Phys.B 886 (2014) 569 [arXiv:1404.1003] [INSPIRE].
P.S. Bhupal Dev, P. Millington, A. Pilaftsis and D. Teresi, Kadanoff-Baym approach to flavour mixing and oscillations in resonant leptogenesis, Nucl. Phys.B 891 (2015) 128 [arXiv:1410.6434] [INSPIRE].
G. Bambhaniya, P.S. Bhupal Dev, S. Goswami, S. Khan and W. Rodejohann, Naturalness, Vacuum Stability and Leptogenesis in the Minimal Seesaw Model, Phys. Rev.D 95 (2017) 095016 [arXiv:1611.03827] [INSPIRE].
K. Moffat, S. Pascoli, S.T. Petcov, H. Schulz and J. Turner, Three-flavored nonresonant leptogenesis at intermediate scales, Phys. Rev.D 98 (2018) 015036 [arXiv:1804.05066] [INSPIRE].
S. Blanchet and P. Di Bari, New aspects of leptogenesis bounds, Nucl. Phys.B 807 (2009) 155 [arXiv:0807.0743] [INSPIRE].
S. Antusch, S. Blanchet, M. Blennow and E. Fernandez-Martinez, Non-unitary Leptonic Mixing and Leptogenesis, JHEP01 (2010) 017 [arXiv:0910.5957] [INSPIRE].
A. Pilaftsis and T.E.J. Underwood, Electroweak-scale resonant leptogenesis, Phys. Rev.D 72 (2005) 113001 [hep-ph/0506107] [INSPIRE].
T. Hambye, Leptogenesis at the TeV scale, Nucl. Phys.B 633 (2002) 171 [hep-ph/0111089] [INSPIRE].
T. Hambye, J. March-Russell and S.M. West, TeV scale resonant leptogenesis from supersymmetry breaking, JHEP07 (2004) 070 [hep-ph/0403183] [INSPIRE].
V. Cirigliano, G. Isidori and V. Porretti, CP violation and Leptogenesis in models with Minimal Lepton Flavour Violation, Nucl. Phys.B 763 (2007) 228 [hep-ph/0607068] [INSPIRE].
Z.-z. Xing and S. Zhou, Tri-bimaximal Neutrino Mixing and Flavor-dependent Resonant Leptogenesis, Phys. Lett.B 653 (2007) 278 [hep-ph/0607302] [INSPIRE].
G.C. Branco, A.J. Buras, S. Jager, S. Uhlig and A. Weiler, Another look at minimal lepton flavour violation, li → ljγ, leptogenesis and the ratio Mv/ΛLFV, JHEP09 (2007) 004 [hep-ph/0609067] [INSPIRE].
E.J. Chun and K. Turzynski, Quasi-degenerate neutrinos and leptogenesis from Lu–L𝜏, Phys. Rev.D 76 (2007) 053008 [hep-ph/0703070] [INSPIRE].
T. Kitabayashi, Remark on the minimal seesaw model and leptogenesis with tri/bi-maximal mixing, Phys. Rev.D 76 (2007) 033002 [hep-ph/0703303] [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, JHEP11 (2015) 030 [arXiv:1506.05296] [INSPIRE].
J.A. Casas, J.R. Espinosa, A. Ibarra and I. Navarro, General RG equations for physical neutrino parameters and their phenomenological implications, Nucl. Phys.B 573 (2000) 652 [hep-ph/9910420] [INSPIRE].
S. Antusch, J. Kersten, M. Lindner and M. Ratz, Running neutrino masses, mixings and CP phases: Analytical results and phenomenological consequences, Nucl. Phys.B 674 (2003) 401 [hep-ph/0305273] [INSPIRE].
F. Feroz and M.P. Hobson, Multimodal nested sampling: an efficient and robust alternative to MCMC methods for astronomical data analysis, Mon. Not. Roy. Astron. Soc.384 (2008) 449 [arXiv:0704.3704] [INSPIRE].
F. Feroz, M.P. Hobson and M. Bridges, MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics, Mon. Not. Roy. Astron. Soc.398 (2009) 1601 [arXiv:0809.3437] [INSPIRE].
F. Feroz, M.P. Hobson, E. Cameron and A.N. Pettitt, Importance Nested Sampling and the MultiNest Algorithm, arXiv:1306.2144 [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].
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. Ilakovac and A. Pilaftsis, Flavor violating charged lepton decays in seesaw-type models, Nucl. Phys.B 437 (1995) 491 [hep-ph/9403398] [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].
A. Abada, G. Bhattacharyya, D. Das and C. Weiland, A possible connection between neutrino mass generation and the lightness of a NMSSM pseudoscalar, Phys. Lett.B 700 (2011) 351 [arXiv:1011.5037] [INSPIRE].
A. Abada, D. Das and C. Weiland, Enhanced Higgs Mediated Lepton Flavour Violating Processes in the Supersymmetric Inverse Seesaw Model, JHEP03 (2012) 100 [arXiv:1111.5836] [INSPIRE].
R. Alonso, E. Fernandez Martinez, M.B. Gavela, B. Grinstein, L. Merlo and P. Quilez, Gauged Lepton Flavour, JHEP12 (2016) 119 [arXiv:1609.05902] [INSPIRE].
M.B. Gavela, T. Hambye, D. Hernandez and P. Hernández, Minimal Flavour Seesaw Models, JHEP09 (2009) 038 [arXiv:0906.1461] [INSPIRE].
A.G. Dias, C.A. de S. Pires and P.S.R. da Silva, How the Inverse See-Saw Mechanism Can Reveal Itself Natural, Canonical and Independent of the Right-Handed Neutrino Mass, Phys. Rev.D 84 (2011) 053011 [arXiv:1107.0739] [INSPIRE].
F. Bazzocchi, Minimal Dynamical Inverse See Saw, Phys. Rev.D 83 (2011) 093009 [arXiv:1011.6299] [INSPIRE].
E. Ma, Radiative inverse seesaw mechanism for nonzero neutrino mass, Phys. Rev.D 80 (2009) 013013 [arXiv:0904.4450] [INSPIRE].
K. Moffat, S. Pascoli, S.T. Petcov and J. Turner, Leptogenesis from Low Energy C P Violation, JHEP03 (2019) 034 [arXiv:1809.08251] [INSPIRE].
S. Pascoli, S.T. Petcov and A. Riotto, Connecting low energy leptonic CP-violation to leptogenesis, Phys. Rev.D 75 (2007) 083511 [hep-ph/0609125] [INSPIRE].
S. Pascoli, S.T. Petcov and A. Riotto, Leptogenesis and Low Energy CP-violation in Neutrino Physics, Nucl. Phys.B 774 (2007) 1 [hep-ph/0611338] [INSPIRE].
S. Blanchet and P. Di Bari, Flavor effects on leptogenesis predictions, JCAP03 (2007) 018 [hep-ph/0607330] [INSPIRE].
G.C. Branco, R. Gonzalez Felipe and F.R. Joaquim, A New bridge between leptonic CP-violation and leptogenesis, Phys. Lett.B 645 (2007) 432 [hep-ph/0609297] [INSPIRE].
A. Anisimov, S. Blanchet and P. Di Bari, Viability of Dirac phase leptogenesis, JCAP04 (2008) 033 [arXiv:0707.3024] [INSPIRE].
E. Molinaro and S.T. Petcov, A Case of Subdominant/Suppressed ‘High Energy’ Contribution to the Baryon Asymmetry of the Universe in Flavoured Leptogenesis, Phys. Lett.B 671 (2009) 60 [arXiv:0808.3534] [INSPIRE].
M.J. Dolan, T.P. Dutka and R.R. Volkas, Dirac-Phase Thermal Leptogenesis in the extended Type-I Seesaw Model, JCAP06 (2018) 012 [arXiv:1802.08373] [INSPIRE].
C. Hagedorn, R.N. Mohapatra, E. Molinaro, C.C. Nishi and S.T. Petcov, CP Violation in the Lepton Sector and Implications for Leptogenesis, Int. J. Mod. Phys.A 33 (2018) 1842006 [arXiv:1711.02866] [INSPIRE].
S.M. Bilenky and S.T. Petcov, Massive Neutrinos and Neutrino Oscillations, Rev. Mod. Phys.59 (1987) 671 [Erratum ibid.61 (1989) 169] [INSPIRE].
S. Pascoli, S.T. Petcov and T. Schwetz, The Absolute neutrino mass scale, neutrino mass spectrum, Majorana CP-violation and neutrinoless double-beta decay, Nucl. Phys.B 734 (2006) 24 [hep-ph/0505226] [INSPIRE].
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Brivio, I., Moffat, K., Pascoli, S. et al. Leptogenesis in the Neutrino Option. J. High Energ. Phys. 2019, 59 (2019). https://doi.org/10.1007/JHEP10(2019)059
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DOI: https://doi.org/10.1007/JHEP10(2019)059