Abstract
A relativistic theory for neutrino superluminality is presented (in principle, the same mechanism applies also to other fermions). The theory involves the standard-model particles and one additional heavy sterile neutrino with an energy-scale close to or above the electroweak one, all particles propagating in the usual 3 + 1 spacetime dimensions. Lorentz violation results from spontaneous symmetry breaking in the sterile-neutrino sector. The theory tries, as far as possible, to be consistent with the existing experimental data from neutrino physics and to keep the number of assumptions minimal. There are clear experimental predictions which can be tested.
This is a preview of subscription content, log in via an institution to check access.
Similar content being viewed by others
References
P. Adamson et al. (MINOS Collab.), Phys. Rev. D 76, 072005 (2007); arXiv:0706.0437.
T. Adam et al. (OPERA Collab.), arXiv:1109.4897v2.
A CERN press release from the OPERA Collaboration (dated February 23, 2012) states that two possible errors have been found and that new short-pulse measurements are scheduled for May, 2012.
M. Antonello et al. (ICARUS Collab.), arXiv:1203.3433v3.
Many papers on superluminal neutrinos have appeared since September 23, 2011 (see http://inspirehep.net/ for all papers quoting OPERA’s first preprint [2]), but, here, we only refer to those of direct relevance to our discussion.
K. Hirata et al. (KAMIOKANDE-II Collab.), Phys. Rev. Lett. 58, 1490 (1987); R. M. Bionta et al., Phys. Rev. Lett. 58, 1494 (1987).
M. J. Longo, Phys. Rev. D 36, 3276 (1987); L. Stodolsky, Phys. Lett. B 201, 353 (1988).
S. R. Coleman and S. L. Glashow, Phys. Rev. D 59, 116008 (1999); arXiv:hep-ph/9812418.
A. G. Cohen and S. L. Glashow, Phys. Rev. Lett. 107, 181803 (2011); arXiv:1109.6562.
G. F. Giudice, S. Sibiryakov, and A. Strumia, Nucl. Phys. B 861, 1 (2012); arXiv:1109.5682.
S. Hannestad and M. S. Sloth, arXiv:1109.6282.
A. Nicolaidis, arXiv:1109.6354.
W. Winter, Phys. Rev. D 85, 017301 (2012); arXiv:1110.0424.
F. R. Klinkhamer, Phys. Rev. D 85, 016011 (2012); arXiv:1110.2146.
S. Mohanty and S. Rao, arXiv:1111.2725v4.
C. Kaufhold and F. R. Klinkhamer, Nucl. Phys. B 734, 1 (2006); arXiv:hep-th/0508074.
C. Kaufhold and F. R. Klinkhamer, Phys. Rev. D 76, 025024 (2007); arXiv:0704.3255.
F. R. Klinkhamer and G. E. Volovik, JETP Lett. 94, 673 (2011); arXiv:1109.6624.
S. Nojiri and S. D. Odintsov, Eur. Phys. J. C 71, 1801 (2011); arXiv:1110.0889.
M. Veltman, Diagrammatica-The Path to Feynman Rules (Cambridge Univ. Press, Cambridge, England, 1994), Appendix E.
T. P. Cheng and L. F. Li, Gauge Theory of Elementary Particle Physics (Clarendon, Oxford, UK, 1984).
See, in particular, Table II of Ref. [23] with experimental upper bounds on |ν ν − c|/c at the 10−4 level for neutrino energies up to 200 GeV.
G. R. Kalbfleisch, N. Baggett, E. C. Fowler, and J. Alspector, Phys. Rev. Lett. 43, 1361 (1979).
B. Altschul, Astropart. Phys. 28, 380 (2007); arXiv:hepph/0610324.
J. D. Bjorken, Ann. Phys. 24, 174 (1963).
A. Jenkins, Phys. Rev. D 69, 105007 (2004); arXiv:hepth/0311127.
V. A. Kostelecky, Phys. Rev. D 69, 105009 (2004); arXiv:hep-th/0312310.
F. R. Klinkhamer, arXiv:1202.0531.
Author information
Authors and Affiliations
Corresponding author
Additional information
The article is published in the original.
Rights and permissions
About this article
Cite this article
Klinkhamer, F.R. Spontaneously broken Lorentz invariance from the dynamics of a heavy sterile neutrino. Jetp Lett. 95, 497–500 (2012). https://doi.org/10.1134/S0021364012100062
Received:
Accepted:
Published:
Issue Date:
DOI: https://doi.org/10.1134/S0021364012100062