Abstract
We study the impact of TeV-scale sterile neutrinos on electro-weak precision observables and lepton number and flavour violating decays in the framework of a type-I see-saw extension of the Standard Model. At tree level sterile neutrinos manifest themselves via non-unitarity of the PMNS matrix and at one-loop level they modify the oblique radiative corrections. We derive explicit formulae for the S, T, U parameters in terms of the neutrino masses and mixings and perform a numerical fit to the electro-weak observables. We find regions of parameter space with a sizable active-sterile mixing which provide a better over-all fit compared to the case where the mixing is negligible. Specifically we find improvements of the invisible Z-decay width, the charged-to-neutral-current ratio for neutrino scattering experiments and of the deviation of the W boson mass from the theoretical expectation.
Similar content being viewed by others
References
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].
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].
P. Minkowski, μ → eγ at a Rate of One Out of 1-Billion Muon Decays?, Phys. Lett. B 67 (1977) 421 [INSPIRE].
T. Yanagida, Horizontal Symmetry and Masses of Neutrinos, Prog. Theor. Phys. 64 (1980) 1103.
R.N. Mohapatra and G. Senjanović, Neutrino Mass and Spontaneous Parity Violation, Phys. Rev. Lett. 44 (1980) 912 [INSPIRE].
M. Gell-Mann, P. Ramond and R. Slansky, Complex spinors and unified theories, in Supergravity, P. Van Nieuwenhuizen and D.Z. Freedman eds., (1979), pg. 315.
M. Fukugita and T. Yanagida, Baryogenesis Without Grand Unification, Phys. Lett. B 174 (1986) 45 [INSPIRE].
G. ’t Hooft, Symmetry Breaking Through Bell-Jackiw Anomalies, Phys. Rev. Lett. 37 (1976) 8 [INSPIRE].
F.R. Klinkhamer and N. Manton, A Saddle Point Solution in the Weinberg-Salam Theory, Phys. Rev. D 30 (1984) 2212 [INSPIRE].
V. Kuzmin, V. Rubakov and M. Shaposhnikov, On the Anomalous Electroweak Baryon Number Nonconservation in the Early Universe, Phys. Lett. B 155 (1985) 36 [INSPIRE].
W. Buchmüller, P. Di Bari and M. Plümacher, Leptogenesis for pedestrians, Annals Phys. 315 (2005) 305 [hep-ph/0401240] [INSPIRE].
G. Giudice, A. Notari, M. Raidal, A. Riotto and A. Strumia, Towards a complete theory of thermal leptogenesis in the SM and MSSM, Nucl. Phys. B 685 (2004) 89 [hep-ph/0310123] [INSPIRE].
S. Davidson, E. Nardi and Y. Nir, Leptogenesis, Phys. Rept. 466 (2008) 105 [arXiv:0802.2962] [INSPIRE].
S. Blanchet and P. Di Bari, The minimal scenario of leptogenesis, New J. Phys. 14 (2012) 125012 [arXiv:1211.0512] [INSPIRE].
M. Garny, A. Hohenegger, A. Kartavtsev and M. Lindner, Systematic approach to leptogenesis in nonequilibrium QFT: Vertex contribution to the CP-violating parameter, Phys. Rev. D 80 (2009) 125027 [arXiv:0909.1559] [INSPIRE].
M. Garny, A. Hohenegger, A. Kartavtsev and M. Lindner, Systematic approach to leptogenesis in nonequilibrium QFT: Self-energy contribution to the CP-violating parameter, Phys. Rev. D 81 (2010) 085027 [arXiv:0911.4122] [INSPIRE].
M. Garny, A. Hohenegger and A. Kartavtsev, Medium corrections to the CP-violating parameter in leptogenesis, Phys. Rev. D 81 (2010) 085028 [arXiv:1002.0331] [INSPIRE].
M. Beneke, B. Garbrecht, M. Herranen and P. Schwaller, Finite Number Density Corrections to Leptogenesis, Nucl. Phys. B 838 (2010) 1 [arXiv:1002.1326] [INSPIRE].
M. Garny, A. Hohenegger and A. Kartavtsev, Quantum corrections to leptogenesis from the gradient expansion, arXiv:1005.5385 [INSPIRE].
B. Garbrecht, Leptogenesis: The Other Cuts, Nucl. Phys. B 847 (2011) 350 [arXiv:1011.3122] [INSPIRE].
M. Drewes and B. Garbrecht, Leptogenesis from a GeV Seesaw without Mass Degeneracy, JHEP 03 (2013) 096 [arXiv:1206.5537] [INSPIRE].
T. Frossard, M. Garny, A. Hohenegger, A. Kartavtsev and D. Mitrouskas, Systematic approach to thermal leptogenesis, Phys. Rev. D 87 (2013) 085009 [arXiv:1211.2140] [INSPIRE].
K. Dick, M. Lindner, M. Ratz and D. Wright, Leptogenesis with Dirac neutrinos, Phys. Rev. Lett. 84 (2000) 4039 [hep-ph/9907562] [INSPIRE].
E.K. Akhmedov, V. Rubakov and A.Y. Smirnov, Baryogenesis via neutrino oscillations, Phys. Rev. Lett. 81 (1998) 1359 [hep-ph/9803255] [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].
T. Asaka and M. Shaposhnikov, The nuMSM, dark matter and baryon asymmetry of the universe, Phys. Lett. B 620 (2005) 17 [hep-ph/0505013] [INSPIRE].
M. Shaposhnikov, The nuMSM, leptonic asymmetries and properties of singlet fermions, JHEP 08 (2008) 008 [arXiv:0804.4542] [INSPIRE].
A. Boyarsky, O. Ruchayskiy and M. Shaposhnikov, The Role of sterile neutrinos in cosmology and astrophysics, Ann. Rev. Nucl. Part. Sci. 59 (2009) 191 [arXiv:0901.0011] [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].
F. Bezrukov, A. Kartavtsev and M. Lindner, Leptongenesis in models with keV sterile neutrino dark matter, arXiv:1204.5477 [INSPIRE].
L. Canetti, M. Drewes and M. Shaposhnikov, Sterile Neutrinos as the Origin of Dark and Baryonic Matter, Phys. Rev. Lett. 110 (2013) 061801 [arXiv:1204.3902] [INSPIRE].
L. Canetti, M. Drewes, T. Frossard and M. Shaposhnikov, Dark Matter, Baryogenesis and Neutrino Oscillations from Right Handed Neutrinos, arXiv:1208.4607 [INSPIRE].
T. Lasserre, The reactor antineutrino anomaly, J. Phys. Conf. Ser. 375 (2012) 042042 [INSPIRE].
J. Kopp, M. Maltoni and T. Schwetz, Are there sterile neutrinos at the eV scale?, Phys. Rev. Lett. 107 (2011) 091801 [arXiv:1103.4570] [INSPIRE].
W. Rodejohann, Neutrinoless double beta decay and neutrino physics, J. Phys. G 39 (2012) 124008 [arXiv:1206.2560] [INSPIRE].
J. Lopez-Pavon, S. Pascoli and C.-f. Wong, Can heavy neutrinos dominate neutrinoless double beta decay?, arXiv:1209.5342 [INSPIRE].
M. Mitra, G. Senjanović and F. Vissani, Heavy Sterile Neutrinos and Neutrinoless Double Beta Decay, arXiv:1205.3867 [INSPIRE].
M. Mitra, G. Senjanović and F. Vissani, Neutrinoless Double Beta Decay and Heavy Sterile Neutrinos, Nucl. Phys. B 856 (2012) 26 [arXiv:1108.0004] [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].
S. Antusch, C. Biggio, E. Fernandez-Martinez, M. Gavela and J. Lopez-Pavon, Unitarity of the Leptonic Mixing Matrix, JHEP 10 (2006) 084 [hep-ph/0607020] [INSPIRE].
D. Dinh, A. Ibarra, E. Molinaro and S. Petcov, The μ − e Conversion in Nuclei, μ → eγ, μ→3e Decays and TeV Scale See-Saw Scenarios of Neutrino Mass Generation, JHEP 08 (2012) 125 [arXiv:1205.4671] [INSPIRE].
Particle Data Group , J. Beringer et al., Review of Particle Physics (RPP), Phys. Rev. D 86 (2012) 010001 [INSPIRE].
NuTeV collaboration, G. Zeller, A Departure from prediction: Electroweak results from NuTeV, hep-ex/0207037 [INSPIRE].
A. Ferroglia and A. Sirlin, Comparison of the Standard Theory Predictions of M W and Sin 2 \( \theta_{{ef\;f}}^{lept } \) with their Experimental Values, Phys. Rev. D 87 (2013) 037501 [arXiv:1211.1864] [INSPIRE].
W. Loinaz, N. Okamura, S. Rayyan, T. Takeuchi and L. Wijewardhana, The NuTeV anomaly, lepton universality and nonuniversal neutrino gauge couplings, Phys. Rev. D 70 (2004) 113004 [hep-ph/0403306] [INSPIRE].
W. Loinaz, N. Okamura, T. Takeuchi and L. Wijewardhana, The NuTeV anomaly, neutrino mixing and a heavy Higgs boson, Phys. Rev. D 67 (2003) 073012 [hep-ph/0210193] [INSPIRE].
T. Takeuchi and W. Loinaz, Phenomenology of not-so-heavy neutral leptons: The NuTeV anomaly, lepton universality and non-universal neutrino-gauge couplings, hep-ph/0410201 [INSPIRE].
T. Cheng and L. Li, Gauge theory of elementary particle physics, Oxford University Press, Oxford U.K. (2002).
MEG collaboration, J. Adam et al., New limit on the lepton-flavour violating decay μ + → e + γ, Phys. Rev. Lett. 107 (2011) 171801 [arXiv:1107.5547] [INSPIRE].
A. Ibarra, E. Molinaro and S. Petcov, TeV Scale See-Saw Mechanisms of Neutrino Mass Generation, the Majorana Nature of the Heavy Singlet Neutrinos and (ββ)0ν -Decay, JHEP 09 (2010) 108 [arXiv:1007.2378] [INSPIRE].
EXO collaboration, M. Auger et al., Search for Neutrinoless Double-Beta Decay in 136 Xe with EXO-200, Phys. Rev. Lett. 109 (2012) 032505 [arXiv:1205.5608] [INSPIRE].
A. Abada, D. Das, A. Teixeira, A. Vicente and C. Weiland, Tree-level lepton universality violation in the presence of sterile neutrinos: impact for R K and R π , JHEP 02 (2013) 048 [arXiv:1211.3052] [INSPIRE].
A. Atre, T. Han, S. Pascoli and B. Zhang, The Search for Heavy Majorana Neutrinos, JHEP 05 (2009) 030 [arXiv:0901.3589] [INSPIRE].
P. Fileviez Perez, T. Han and T. Li, Testability of Type I Seesaw at the CERN LHC: Revealing the Existence of the B-L Symmetry, Phys. Rev. D 80 (2009) 073015 [arXiv:0907.4186] [INSPIRE].
ALEPH, DELPHI, L3, OPAL collaboration, LEP Electroweak Working Group, SLD Heavy Flavor Group, A Combination of preliminary electroweak measurements and constraints on the standard model, hep-ex/0212036 [INSPIRE].
L3 collaboration, P. Achard et al., Search for heavy isosinglet neutrino in e + e − annihilation at LEP, Phys. Lett. B 517 (2001) 67 [hep-ex/0107014] [INSPIRE].
CMS collaboration, Search for heavy Majorana neutrinos in μ + μ +[μ − μ −] and e + e +[e − e −] events in pp collisions at \( \sqrt{s}=7 \) TeV, Phys. Lett. B 717 (2012) 109 [arXiv:1207.6079] [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].
J. Almeida, F.M.L., Y.D.A. Coutinho, J.A. Martins Simoes and M. do Vale, On a signature for heavy Majorana neutrinos in hadronic collisions, Phys. Rev. D 62 (2000) 075004 [hep-ph/0002024] [INSPIRE].
F. de Almeida, Y.D.A. Coutinho, J.A. Martins Simoes and M. do Vale, Heavy Majorana neutrinos at a very large electron proton collider, Phys. Rev. D 65 (2002) 115010 [INSPIRE].
P. Langacker and D. London, Lepton number violation and massless nonorthogonal neutrinos, Phys. Rev. D 38 (1988) 907 [INSPIRE].
S. Antusch, M. Blennow, E. Fernandez-Martinez and J. Lopez-Pavon, Probing non-unitary mixing and CP-violation at a Neutrino Factory, Phys. Rev. D 80 (2009) 033002 [arXiv:0903.3986] [INSPIRE].
M. Gonzalez-Garcia, M. Maltoni, J. Salvado and T. Schwetz, Global fit to three neutrino mixing: critical look at present precision, JHEP 12 (2012) 123 [arXiv:1209.3023] [INSPIRE].
M. Baak, M. Goebel, J. Haller, A. Hoecker, D. Kennedy et al., The Electroweak Fit of the Standard Model after the Discovery of a New Boson at the LHC, Eur. Phys. J. C 72 (2012) 2205 [arXiv:1209.2716] [INSPIRE].
M. Traini, Charge symmetry violation: A NNLO study of partonic observables, Phys. Lett. B 707 (2012) 523 [arXiv:1110.3594] [INSPIRE].
NuTeV collaboration, G. Zeller et al., A Precise determination of electroweak parameters in neutrino nucleon scattering, Phys. Rev. Lett. 88 (2002) 091802 [Erratum ibid. 90 (2003) 239902] [hep-ex/0110059] [INSPIRE].
NuTeV collaboration, G. Zeller et al., On the effect of asymmetric strange seas and isospin violating parton distribution functions on sin2 θ W measured in the NuTeV experiment, Phys. Rev. D 65 (2002) 111103 [Erratum ibid. D 67 (2003) 119902] [hep-ex/0203004] [INSPIRE].
K.S. McFarland, G. Zeller, T. Adams, A. Alton, S. Avvakumov et al., A Departure from prediction: Electroweak physics at NuTeV, hep-ex/0205080 [INSPIRE].
NuTeV collaboration, G. Zeller et al., Reply to the comment on ‘A Precise determination of electroweak parameters in neutrino nucleon scattering’, hep-ex/0207052 [INSPIRE].
M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381 [INSPIRE].
B.A. Kniehl and H.-G. Kohrs, Oblique radiative corrections from Majorana neutrinos, Phys. Rev. D 48 (1993) 225 [INSPIRE].
G. Passarino and M. Veltman, One Loop Corrections for e + e − Annihilation Into μ + μ − in the Weinberg Model, Nucl. Phys. B 160 (1979) 151 [INSPIRE].
J. Casas and A. Ibarra, Oscillating neutrinos and μ → eγ, Nucl. Phys. B 618 (2001) 171 [hep-ph/0103065] [INSPIRE].
G. Fogli, E. Lisi, A. Marrone, D. Montanino, A. Palazzo et al., Global analysis of neutrino masses, mixings and phases: entering the era of leptonic CP-violation searches, Phys. Rev. D 86 (2012) 013012 [arXiv:1205.5254] [INSPIRE].
WMAP collaboration, G. Hinshaw et al., Nine-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Parameter Results, arXiv:1212.5226 [INSPIRE].
S. Antusch, J.P. Baumann and E. Fernandez-Martinez, Non-Standard Neutrino Interactions with Matter from Physics Beyond the Standard Model, Nucl. Phys. B 810 (2009) 369 [arXiv:0807.1003] [INSPIRE].
G. Mention, M. Fechner, T. Lasserre, T. Mueller, D. Lhuillier et al., The Reactor Antineutrino Anomaly, Phys. Rev. D 83 (2011) 073006 [arXiv:1101.2755] [INSPIRE].
M.E. Peskin and T. Takeuchi, Estimation of oblique electroweak corrections, Phys. Rev. D 46 (1992) 381 [INSPIRE].
I. Maksymyk, C. Burgess and D. London, Beyond S, T and U, Phys. Rev. D 50 (1994) 529 [hep-ph/9306267] [INSPIRE].
M. Plümacher, Baryon asymmetry, neutrino mixing and supersymmetric SO(10) unification, hep-ph/9807557 [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1302.1872
Rights and permissions
About this article
Cite this article
Akhmedov, E., Kartavtsev, A., Lindner, M. et al. Improving electro-weak fits with TeV-scale sterile neutrinos. J. High Energ. Phys. 2013, 81 (2013). https://doi.org/10.1007/JHEP05(2013)081
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2013)081