Abstract
Motivated by the findings of the OPERA experiment, we discuss the hypothesis that neutrino propagation does not obey Einstein special relativity. Under a minimal set of modifications of the standard model Lagrangian, we consider the implications of non standard neutrino propagation on the description of neutrino interactions and, specifically, on the pion decay processes. We show that all the different dispersion relations which have been proposed so far to explain OPERA results, imply huge departures from the standard expectations. The decay channel π+ → e+νe becomes significantly larger than in the standard scenario, and may even dominate over π+ → μ+νμ. Moreover, the spectral distribution of neutrinos produced in the decay processes and the probability that a pion decays in flight in neutrinos show large deviations from the standard results.
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References
OPERA collaboration, T. Adam et al., Measurement of the neutrino velocity with the OPERA detector in the CNGS beam, arXiv:1109.4897 [INSPIRE].
MINOS collaboration, P. Adamson et al., Measurement of neutrino velocity with the MINOS detectors and NuMI neutrino beam, Phys. Rev. D 76 (2007) 072005 [arXiv:0706.0437] [INSPIRE].
M.J. Longo, Tests of relativity from SN1987A, Phys. Rev. D 36 (1987) 3276 [INSPIRE].
IMB collaboration, R.M. Bionta et al., Observation of a neutrino burst in coincidence with supernova SN 1987A in the Large Magellanic Cloud, Phys. Rev. Lett. 58 (1987) 1494
KAMIOKANDE-II collaboration, K. Hirata et al., Observation of a Neutrino Burst from the Supernova SN 1987a, Phys. Rev. Lett. 58 (1987) 1490 [INSPIRE].
J.R. Ellis, N. Harries, A. Meregaglia, A. Rubbia and A. Sakharov, Probes of Lorentz violation in neutrino propagation, Phys. Rev. D 78 (2008) 033013 [arXiv:0805.0253] [INSPIRE].
G. Cacciapaglia, A. Deandrea and L. Panizzi, Superluminal neutrinos in long baseline experiments and SN1987a, JHEP 11 (2011) 137 [arXiv:1109.4980] [INSPIRE].
G.F. Giudice, S. Sibiryakov and A. Strumia, Interpreting OPERA results on superluminal neutrino, arXiv:1109.5682 [INSPIRE].
A.G. Cohen and S.L. Glashow, Pair creation constrains superluminal neutrino propagation, Phys. Rev. Lett. 107 (2011) 181803 [arXiv:1109.6562] [INSPIRE].
X.-J. Bi, P.-F. Yin, Z.-H. Yu and Q. Yuan, Constraints and tests of the OPERA superluminal neutrinos, Phys. Rev. Lett. 107 (2011) 241802 [arXiv:1109.6667] [INSPIRE].
F. Villante and F. Vissani, On the generality of the Cohen and Glashow constraints on the neutrino velocity, arXiv:1110.4591 [INSPIRE].
M. Li, D. Liu, J. Meng, T. Wang and L. Zhou, Replaying neutrino bremsstrahlung with general dispersion relations, arXiv:1111.3294 [INSPIRE].
L. Gonzalez-Mestres, Astrophysical consequences of the OPERA superluminal neutrino, arXiv:1109.6630 [INSPIRE].
R. Cowsik, S. Nussinov and U. Sarkar, Superluminal neutrinos at OPERA confront pion decay kinematics, Phys. Rev. Lett. 107 (2011) 251801 [arXiv:1110.0241] [INSPIRE].
B. Altschul, Consequences of neutrino Lorentz violation for leptonic meson decays, Phys. Rev. D 84 (2011) 091902 [arXiv:1110.2123] [INSPIRE].
S.R. Coleman and S.L. Glashow, High-energy tests of Lorentz invariance, Phys. Rev. D 59 (1999)116008 [hep-ph/9812418] [INSPIRE].
W.D. Arnett, On the early behavior of supernova 1987A, Astrophys. J. 331 (1988) 377
See the IAU circulars 4316 and 4340 (http://www.cbat.eps.harvard.edu/iauc/04300/04316.html and http://www.cbat.eps.harvard.edu/iauc/04300/04316.html) as quoted by [17].
F. Vissani, The beta spectrum in presence of background potentials for neutrinos, Phys. Lett. B 413 (1997) 101 [hep-ph/9707343] [INSPIRE].
C. Kraus et al., Final results from phase II of the Mainz neutrino mass search in tritium beta decay, Eur. Phys. J. C 40 (2005) 447 [hep-ex/0412056] [INSPIRE].
V. Lobashev, V. Aseev, A. Belesev, A. Berlev, E. Geraskin, et al., Direct search for mass of neutrino and anomaly in the tritium beta spectrum, Phys. Lett. B 460 (1999) 227 [INSPIRE].
T.J. Loredo and D.Q. Lamb, Bayesian analysis of neutrinos observed from supernova SN 1987A, Phys. Rev. D 65 (2002) 063002 [astro-ph/0107260] [INSPIRE].
G. Pagliaroli, F. Rossi-Torres and F. Vissani, Neutrino mass bound in the standard scenario for supernova electronic antineutrino emission, Astropart. Phys. 33 (2010) 287 [arXiv:1002.3349] [INSPIRE].
H.B. Nielsen and I. Picek, Redei like model and testing Lorentz invariance, Phys. Lett. B 114 (1982)141 [INSPIRE].
H.B. Nielsen and I. Picek, Lorentz noninvariance, Nucl. Phys. B 211 (1983) 269 [Addendum ibid. B 242 (1984) 542] [INSPIRE]].
D. Bryman et al., Measurement of the π → eν branching ratio, Phys. Rev. D 33 (1986) 1211 [INSPIRE].
D. Britton et al., Measurement of the π + → e + ν branching ratio, Phys. Rev. Lett. 68 (1992) 3000 [INSPIRE].
G. Czapek et al., Branching ratio for the rare pion decay into positron and neutrino, Phys. Rev. Lett. 70 (1993) 17 [INSPIRE].
A.J. Greenberget al., Charged pion lifetime and a limit on a fundamental length, Phys. Rev. Lett. 23 (1969) 1267 [INSPIRE].
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Mannarelli, M., Mitra, M., Villante, F.L. et al. Non-standard neutrino propagation and pion decay. J. High Energ. Phys. 2012, 136 (2012). https://doi.org/10.1007/JHEP01(2012)136
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DOI: https://doi.org/10.1007/JHEP01(2012)136