Abstract
We summarize the constraints on three flavor neutrino mixing coming from data. We first map out the allowed region in the three neutrino parameter space using solar and atmospheric neutrino data. We then incorporate the results of reactor and long baseline experiments in our analysis and show that the parameter space is drastically reduced. We conclude by pointing out that the results of Borexino and SNO will further help in constraining the parameter space.
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References
N Hata and P Langacker, Phys. Rev. D56, 6107 (1997)
Kamiokande Collaboration: K S Hirata et al, Phys. Lett. B280, 146 (1992)
Kamiokande Collaboration: Y Fukuda et al, Phys. Lett. B335, 237 (1994)
T K Kuo and J Pantaleone, Rev. Mod. Phys. 61, 937 (1989)
T K Kuo and J Pantaleone, Phys. Rev. D35, 3432 (1987)
A S Joshipura and M V N Murthy, Phys. Rev. D37, 1374 (1988)
M Narayan, M V N Murthy, G Rajasekaran and S Uma Sankar, Phys. Rev. D53, 2809 (1996)
L D Landau and E M Lifshitz, Non-relativistic Quantum Mechanics, 3rd Edition (Pergamon Press, 1977)
GALLEX Collabaration: M Cribier, in TAUP’ 97 5th International Workshop on Topics in Astroparticle and Underground Physics (Laboratori Nazionali del Gran Sasso, Assergi, Italy, 1997) to appear in the proceedings
SAGE Collabaration: in LP’97, 28th International Symposium on Lepton Photon Interactions (Hamburg, Germany, 1997) to appear in the proceedings
Homestake Collabaration: K Lande, in the 4th international Solar Neutrino conference (Heidelberg, Germany, 1997) to appear in the proceedings
Kamiokande Collabaration: Y Fukuda et al, Phys. Rev. Lett. 77, 1683 (1996)
Super-Kamioka Collabaration: Y Totsuka, in LP’97, 28th International Symposium on Lepton Photon Interactions (Hamburg, Germany, 1997) to appear in the proceedings
J N Bahcall and M H Pinsonneault, Rev. Mod. Phys. 67, 781 (1995)
J Bahcall, Neutrino Astrophysics (Cambridge University Press)
G Fogli, E Lisi and D Montanino, Phys. Rev. D49, 3626 (1994);
—ibid. D54, 2048 (1996)
M Honda et al, Phys. Rev. D52, 4985 (1995)
Agrawal et al, Phys. Rev. D53, 1314 (1996)
IMB Collaboration: D Casper et al, Phys. Rev. Lett. 66, 2561 (1991)
R Becker-Szendy et al, Phys. Rev. D46, 3720 (1992)
IMB Collaboration observed a deficit of muon-like events in their data compared to the Monte-Carlo prediction as early as 1986 and have speculated whether this deficit is due to non-standard physics
T J Haines et al, Phys. Rev. Lett. 57, 1986 (1986)
J Pantaleone, Phys. Rev. D49, R2152 (1994)
C Giunti, C W Kim and J D Kim, Phys. Lett. 352B, 357 (1995)
M Narayan, G Rajasekaran and S Uma Sankar, Phys. Rev. D56, 437 (1997)
We thank Prof. T Kajita of the Kamiokande Collaboration for providing us with the efficiencies for the detection of various types of events
G Fogli, E Lisi and A Marrone and G Scioscia, Phys. Rev. D59, 033001 (1999)
J Pantaleone, Phys. Rev. Lett. 81, 5060 (1998)
L Oberauer and F von Feilitzsch, Rep. Prog. Phys. 55, 1093 (1992)
The CHOOZ Collaboration: M Apollonio et al, Phys. Lett. B420, 397 (1998) (Initial results from the CHOOZ long baseline reactor neutrino oscillation experiment)
Mohan Narayan, G Rajasekaran, and S Uma Sankar Phys. Rev. D58, R031301 (1998)
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Narayan, M. Constraints on three flavor neutrino mixing. Pramana - J Phys 54, 155–172 (2000). https://doi.org/10.1007/s12043-000-0014-4
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DOI: https://doi.org/10.1007/s12043-000-0014-4