Abstract
In the standard seesaw mechanism, finite corrections to the neutrino mass matrix arise from 1-loop self-energy diagrams mediated by a heavy neutrino. We study in detail these corrections and demonstrate that they can be very significant, exceeding in several cases the tree-level result. We consider the normal and inverted hierarchy spectra for light neutrinos and compute the finite corrections to the different elements of the neutrino mass matrix. Special attention is paid to their dependence on the parameters of the seesaw model. Among the cases in which the corrections can be large, we identify the fine-tuned models considered previously in the literature, where a strong cancellation between the different parameters is required to achieve compatibility with the experimental data. As a particular example, we also analyze how these corrections modify the tribimaximal mixing pattern and find that the deviations may be sizable, in particular for θ 13. Finally, we emphasize that due to their large size, the finite corrections to neutrino masses have to be taken into account if one wants to properly scan the parameter space of seesaw models.
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T. Schwetz, M.A. Tortola and J.W.F. Valle, Three-flavour neutrino oscillation update, New J. Phys. 10 (2008) 113011 [arXiv:0808.2016] [SPIRES].
M.C. Gonzalez-Garcia, M. Maltoni and J. Salvado, Updated global fit to three neutrino mixing: status of the hints of θ 13 > 0, JHEP 04 (2010) 056 [arXiv:1001.4524] [SPIRES].
P. Minkowski, μ → eγ at a rate of one out of 1-billion muon decays?, Phys. Lett. B 67 (1977) 421 [SPIRES].
T. Yanagida, Horizontal gauge symmetry and masses of neutrinos, in the proceedings of the Workshop on the Baryon Number of the Universe and Unified Theories, Tsukuba Japan, 13–14 February 1979.
R.N. Mohapatra and G. Senjanović, Neutrino mass and spontaneous parity nonconservation, Phys. Rev. Lett. 44 (1980) 912 [SPIRES].
M. Gell-Mann, P. Ramond and R. Slansky, Complex spinors and unified theories, CERN Print-80-0576.
J. Schechter and J.W.F. Valle, Neutrino masses in SU(2) × U(1) theories, Phys. Rev. D 22 (1980) 2227 [SPIRES].
J.A. Casas and A. Ibarra, Oscillating neutrinos and μ → e, γ, Nucl. Phys. B 618 (2001) 171 [hep-ph/0103065] [SPIRES].
S. Davidson and A. Ibarra, Determining seesaw parameters from weak scale measurements?, JHEP 09 (2001) 013 [hep-ph/0104076] [SPIRES].
W. Grimus and H. Neufeld, Radiative neutrino masses in an SU(2) × U(1) model, Nucl. Phys. B 325 (1989) 18 [SPIRES].
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] [SPIRES].
B.A. Kniehl and A. Pilaftsis, Mixing renormalization in Majorana neutrino theories, Nucl. Phys. B 474 (1996) 286 [hep-ph/9601390] [SPIRES].
W. Grimus and H. Neufeld, 3-neutrino mass spectrum from combining seesaw and radiative neutrino mass mechanisms, Phys. Lett. B 486 (2000) 385 [hep-ph/9911465] [SPIRES].
W. Grimus and L. Lavoura, Softly broken lepton numbers and maximal neutrino mixing, JHEP 07 (2001) 045 [hep-ph/0105212] [SPIRES].
A. Pilaftsis, Gauge and scheme dependence of mixing matrix renormalization, Phys. Rev. D 65 (2002) 115013 [hep-ph/0203210] [SPIRES].
W. Grimus and L. Lavoura, Soft lepton-flavor violation in a multi-Higgs-doublet seesaw model, Phys. Rev. D 66 (2002) 014016 [hep-ph/0204070] [SPIRES].
W. Grimus and L. Lavoura, One-loop corrections to the seesaw mechanism in the multi-Higgs-doublet standard model, Phys. Lett. B 546 (2002) 86 [hep-ph/0207229] [SPIRES].
J.A. Casas, J.M. Moreno, N. Rius, R. Ruiz de Austri and B. Zaldivar, Fair scans of the seesaw. Consequences for predictions on LFV processes, JHEP 03 (2011) 034 [arXiv:1010.5751] [SPIRES].
P.F. Harrison, D.H. Perkins and W.G. Scott, Tri-bimaximal mixing and the neutrino oscillation data, Phys. Lett. B 530 (2002) 167 [hep-ph/0202074] [SPIRES].
P. Huber and W. Winter, Neutrino factories and the ‘magic’ baseline, Phys. Rev. D 68 (2003) 037301 [hep-ph/0301257] [SPIRES].
A. Ibarra, E. Molinaro and S.T. Petcov, TeV scale see-saw mechanisms of neutrino mass generation, the Majorana nature of the heavy singlet neutrinos and ββ-decay, JHEP 09 (2010) 108 [arXiv:1007.2378] [SPIRES].
G. Passarino and M.J.G. Veltman, One loop corrections for e + e − annihilation into μ + μ − in the Weinberg model, Nucl. Phys. B 160 (1979) 151 [SPIRES].
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Aristizabal Sierra, D., Yaguna, C.E. On the importance of the 1-loop finite corrections to seesaw neutrino masses. J. High Energ. Phys. 2011, 13 (2011). https://doi.org/10.1007/JHEP08(2011)013
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DOI: https://doi.org/10.1007/JHEP08(2011)013