Constraints on three-neutrino mixing from atmospheric and reactor data

J. Pantaleone

doi:10.1103/PhysRevD.49.R2152

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Constraints on three-neutrino mixing from atmospheric and reactor data

J. Pantaleone

Physics Department, Indiana University, Bloomington, Indiana 47405

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Phys. Rev. D 49, R2152(R) – Published 1 March, 1994

DOI: https://doi.org/10.1103/PhysRevD.49.R2152

Abstract

Observations of atmospheric neutrinos are usually analyzed using the simplifying approximation that either $ν_{μ} \leftrightarrow ν_{τ}$ or $ν_{e} \leftrightarrow ν_{μ}$ two-flavor mixing is relevant. Here we instead consider the data using the simplifying approximation that only one neutrino mass scale is relevant. This approximation is the minimal three-flavor notat on that includes the two relevant two-flavor approximations. The constraints in the parameter space orthogonal to the usual, two-flavor analyses are studied.

References (21)

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[9,10]
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G.S. Vidyakin et al., Zh. Eksp. Teor. Fiz. 98, 764 (1990) [Sov. Phys. JETP 71, 424 (1990)] G.S. Vidyakin et al., Zh. Eksp. Teor. Fiz. 93, 424 (1987) [Sov. Phys. JETP 66, 243 (1987)] G. Zacek et al., Phys. Rev. D 34, 2621 (1986)

[c1] Kamiokande Collaboration, K.S. Hirata et al., Phys. Lett. B 205, 416 (1988) , ibid. 280, 146 (1992)

[c2] IMB Collaboration, R. Becker-Szendy et al., Phys. Rev. D 46, 3720 (1992) D. Casper et al., Phys. Rev. Lett. 66, 2561 (1991) R. Becker-Szendy et al., 69, 1010 (1992)

[c3] G. Barr, T.K. Gaisser, and T. Stanev, Phys. Rev. D 39, 3532 (1989) H. Lee and Y.S. Koh, Nuovo Cimento B 105, 883 (1990) M. Honda et al., Phys. Lett. B 248, 193 (1990) M. Kawasaki and S. Mizuta, Phys. Rev. D 43, 2900 (1991)

[c4] Frejus Collaboration, Ch. Berger et al., Phys. Lett. B 245, 305 (1990)

[c5] Soudan Collaboration, M. Goodman et al., in Proceedings of the Lepton-Photon conference, Ithaca, New York, 1993 (unpublished)

[c6] J.G. Learned, S. Pakvasa, and T.J. Weiler, Phys. Lett. B 207, 79 (1988) V. Barger and K. Whisnant, 209, 365 (1988) K. Hidaka et al., Phys. Rev. Lett. 61, 1537 (1988)

[c7] E.W. Beier et al., Phys. Lett. B 283, 446 (1992)

[c8] W. Frati, T.K. Gaisser, A.K. Mann, and T. Stanev, Phys. Rev. D 48, 1140 (1993)

[c9] T.K. Kuo and J. Pantaleone, Phys. Rev. Lett. 57, 1805 (1986) Phys. Rev. D 35, 3432 (1987)

[c10] T.K. Kuo and J. Pantaleone, Rev. Mod. Phys. 61, 937 (1989)

[c11] J. Pantaleone, Phys. Lett. B 292, 201 (1992)

[c12] S. Weinberg, Phys. Rev. Lett. 43, 1566 (1979)

[c13] L. Lavoura, Phys. Rev. D 48, 5440 (1993) K.S. Babu and R.N. Mohapatra, Phys. Rev. Lett. 70, 2845 (1993)

[c14] Super Kamiokande Collaboration, M. Takita et al., Proceedings of the International Symposium on Neutrino Astrophysics, Takayama, Japan, 1992 (unpublished) MACRO Collaboration, R. Bellotti et al., Phys. Lett. B 249, 149 (1990) DUMAND Collaboration, V. Stenger et al., Report No. DUMAND-11-93 (unpublished) AMANDA Collaboration, S. Barwick et al., in Proceedings of 26th International Conference on High Energy Physics, Dallas, Texas, 1992, edited by J. Sanford, AIP Conf. Proc. No. 272 (AIP, New York, 1993) NESTOR Collaboration, L.K. Resvanis et al., International Symposium on Neutrino Telescopes, Venice, Italy, 1993 (unpublished)

[c15] F. Boehm et al., in The Fermilab Meeting, Proceedings of the Annual Meeting of the Division of Particles and Fields of the APS, Batavia, Illinois, 1992, edited by C. Albright (World Scientific, Singapore, 1993), p. 1291 R.I. Steinberg et al., The Fermilab Meeting, p. 1296

[c16] M. Goodman et al., Proceedings of the Workshop on Long-Baseline Neutrino Oscillations, Batavia, Illinois, 1991 (unpublished) A. Ball et al., Report No. CERNSL/Note 92-75 (BT) (unpublished) A. Mann and M. Murtagh (unpublished)

[c17] A. Acker et al., Phys. Lett. B 298, 149 (1993) X. Shi et al., Phys. Rev. Lett. 69, 717 (1992) D. Harley et al., Phys. Rev. D 47, 4059 (1993) G.L. Fogli et al., (to be published) P. Krastev and A. Joshipura, Report No. IFP-472-UNC, 1993 (unpublished)

[c18] L. Wolfenstein, Phys. Rev. D 17, 2369 (1978) ibid.20, 2634 (1979) S. P. Mikheyev and A. Yu Smirnov, Yad. Fiz. 42, 1441 (1985) [Sov. J. Nucl. Phys. 42, 913 (1985)] S. P. MikheyevA. Yu SmirnovNuovo Cimento C9, 17 (1986)

[c19] [9,10]

[c20] T.K. Kuo and J. Pantaleone, Phys. Lett. B 198, 406 (1987)

[c21] G.S. Vidyakin et al., Zh. Eksp. Teor. Fiz. 98, 764 (1990) [Sov. Phys. JETP 71, 424 (1990)] G.S. Vidyakin et al., Zh. Eksp. Teor. Fiz. 93, 424 (1987) [Sov. Phys. JETP 66, 243 (1987)] G. Zacek et al., Phys. Rev. D 34, 2621 (1986)

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Constraints on three-neutrino mixing from atmospheric and reactor data

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