Parameter degeneracy in neutrino oscillation - Solution network and structural overview

Journal of High Energy Physics

Volumn 2010, Issue 4, 2010, Pages

  Minakata, Hisakazu ^a   Uchinami, Shoichi ^a  

^a TOKYO METROPOLITAN UNIVERSITY   (Japan)

Author keywords

CP violation; Neutrino Physics; Standard model

Indexed keywords

EID: 77954943568     PISSN: 11266708     EISSN: 10298479     Source Type: Journal    
DOI: 10.1007/JHEP04(2010)111     Document Type: Article

References (104)

1. Z. Maki, M. Nakagawa and S. Sakata, Remarks on the unifed model of elementary particles, Prog. Theor. Phys. 28 (1962) 870 [SPIRES].
2. T. Kajita, Atmospheric neutrinos, New J. Phys. 6 (2004) 194 [SPIRES].
3. A.B. McDonald, Solar neutrino measurements, New J. Phys. 6 (2004) 121 [astro-ph/0406253] [SPIRES].
4. K. Inoue, Reactor neutrino oscillation studies with Kamland, New J. Phys. 6 (2004) 147 [SPIRES].
5. Κ2Κ collaboration, E. Aliu et al., Evidence for muon neutrino oscillation in an accelerator- based experiment, Phys. Rev. Lett. 94 (2005) 081802 [hep-ex/0411038] [SPIRES].
6. Κ2Κ collaboration, M.H. Ahn et al., Measurement of neutrino oscillation by the Κ2Κ experiment, Phys. Rev. D 74 (2006) 072003 [hep-ex/0606032] [SPIRES].
7. MINOS collaboration, P. Adamson et al., Measurement of neutrino oscillations with the MINOS detectors in the NuMI beam, Phys. Rev. Lett. 101 (2008) 131802 [arXiv:0806.2237] [SPIRES].
8. 2 to the electron neutrino using a one reactor-two detector oscillation experiment at Krasnoyarsk underground site, Phys. Atom. Nucl. 66 (2003) 1934
9. [Yad. Fiz. 66 (2003) 1982] [hep-ex/0211070] [SPIRES].
10. H. Minakata, H. Sugiyama, O. Yasuda, K. Inoue and F. Suekane, Reactor measurement ofθ13 and its complementarity to long-baseline experiments, Phys. Rev. D 68 (2003) 033017
11. [Erratum ibid. D 70 (2004) 059901] [hep-ph/0211111] [SPIRES].
12. Double CHOOZ collaboration, F. Ardellier et al., Double CHOOZ: a search for the neutrino mixing angleθ13, hep-ex/0606025 [SPIRES].
13. Daya-Bay collaboration, X. Guo et al., A precision measurement of the neutrino mixing angleθ13 using reactor antineutrinos at Daya Bay, hep-ex/0701029 [SPIRES].
14. RENO collaboration, K.K. Joo, Progress report on RENO, Nucl. Phys. Proc. Suppl. 168 (2007) 125 [SPIRES].
15. K. Anderson et al., White paper report on using nuclear reactors to search for a value ofθ13, hep-ex/0402041 [SPIRES].
16. The T2K collaboration, Y. Itow et al., The JHF-Kamioka neutrino project, hep-ex/0106019 [SPIRES].
17. NOvA collaboration, D.S. Ayres et al., NOvA proposal to build a 30-kiloton off-axis detector to study neutrino oscillations in the Fermilab NuMI beamline, hep-ex/0503053 [SPIRES].
18. M. Kobayashi and T. Maskawa, CP violation in the renormalizable theory of weak interaction, Prog. Theor. Phys. 49 (1973) 652 [SPIRES].
19. KamLAND collaboration, S. Abe et al., Precision measurement of neutrino oscillation parameters with KamLAND, Phys. Rev. Lett. 100 (2008) 221803 [arXiv:0801.4589] [SPIRES].
20. SNO collaboration, B. Aharmim et al., Low energy threshold analysis of the phase I and phase Ii data sets of the Sudbury Neutrino Observatory, arXiv:0910.2984 [SPIRES].
21. Super-Kamiokande collaboration, Y. Ashie et al., Evidence for an oscillatory signature in atmospheric neutrino oscillation, Phys. Rev. Lett. 93 (2004) 101801 [hep-ex/0404034] [SPIRES].
22. Super-Kamiokande collaboration, Y. Ashie et al., A measurement of atmospheric neutrino oscillation parameters by Super-Kamiokande I, Phys. Rev. D 71 (2005) 112005 [hep-ex/0501064] [SPIRES].
23. CHOOZ collaboration, M. Apollonio et al., Search for neutrino oscillations on a long base-line at the CHOOZ nuclear power station, Eur. Phys. J. C 27 (2003) 331 [hep-ex/0301017] [SPIRES].
24. CHOOZ collaboration, M. Apollonio et al., Limits on neutrino oscillations from the CHOOZ experiment, Phys. Lett. B 466 (1999) 415 [hep-ex/9907037] [SPIRES].
25. F. Boehm et al., Final results from the Palo Verde Neutrino Oscillation Experiment, Phys. Rev. D 64 (2001) 112001 [hep-ex/0107009] [SPIRES].
26. Κ2Κ collaboration, M.H. Ahn et al., Search for electron neutrino appearance in a 250-km long-baseline experiment, Phys. Rev. Lett. 93 (2004) 051801 [hep-ex/0402017] [SPIRES].
27. MINOS collaboration, P. Adamson et al., Search for muon-neutrino to electron-neutrino transitions in MINOS, Phys. Rev. Lett. 103 (2009) 261802 [arXiv:0909.4996] [SPIRES].
28. J. Burguet-Castell, M.B. Gavela, J.J. Gomez-Cadenas, P. Hernández and O. Mena, On the measurement of leptonic CP-violation, Nucl. Phys. B 608 (2001) 301 [hep-ph/0103258] [SPIRES].
29. H. Minakata and H. Nunokawa, Exploring neutrino mixing with low energy superbeams, JHEP 10 (2001) 001 [hep-ph/0108085] [SPIRES].
30. G.L. Fogli and E. Lisi, Tests of three-avor mixing in long-baseline neutrino oscillation experiments, Phys. Rev. D 54 (1996) 3667 [hep-ph/9604415] [SPIRES].
31. H. Minakata and H. Nunokawa, CERN to Gran Sasso: an ideal distance for superbeam?, Nucl. Phys. Proc. Suppl. 110 (2002) 404 [hep-ph/0111131] [SPIRES].
32. V. Barger, D. Marfatia and K. Whisnant, Breaking eight-fold degeneracies in neutrino CP-violation, mixing and mass hierarchy, Phys. Rev. D 65 (2002) 073023 [hep-ph/0112119] [SPIRES].
33. T. Kajita, H. Minakata and H. Nunokawa, Method for determination of |U(e3)| in neutrino oscillation appearance experiments, Phys. Lett. B 528 (2002) 245 [hep-ph/0112345] [SPIRES].
34. H. Minakata, H. Nunokawa and S.J. Parke, Parameter degeneracies in neutrino oscillation measurement of leptonic CP and T violation, Phys. Rev. D 66 (2002) 093012 [hep-ph/0208163] [SPIRES].
35. A. Cervera et al., Golden measurements at a neutrino factory, Nucl. Phys. B 579 (2000) 17
36. [Erratum ibid. B 593 (2001) 731] [hep-ph/0002108] [SPIRES].
37. A. Donini, D. Meloni and S. Rigolin, Clone ow analysis for a theory inspired neutrino experiment planning, JHEP 06 (2004) 011 [hep-ph/0312072] [SPIRES].
38. L. Wolfenstein, Neutrino oscillations in matter, Phys. Rev. D 17 (1978) 2369 [SPIRES].
39. J.W.F. Valle, Resonant oscillations of massless neutrinos in matter, Phys. Lett. B 199 (1987) 432 [SPIRES].
40. M.M. Guzzo, A. Masiero and S.T. Petcov, On the MSW effect with massless neutrinos and no mixing in the vacuum, Phys. Lett. B 260 (1991) 154 [SPIRES].
41. Y. Grossman, Nonstandard neutrino interactions and neutrino oscillation experiments, Phys. Lett. B 359 (1995) 141 [hep-ph/9507344] [SPIRES].
42. - colliders, Phys. Lett. B 535 (2002) 207 [hep-ph/0111137] [SPIRES].
43. H. Minakata, Neutrino's non-standard interactions: another eel under a willow?, arXiv:0905.1387 [SPIRES].
44. T. Kikuchi, H. Minakata and S. Uchinami, Perturbation theory of neutrino oscillation with nonstandard neutrino interactions, JHEP 03 (2009) 114 [arXiv:0809.3312] [SPIRES].
45. A.M. Gago, H. Minakata, H. Nunokawa, S. Uchinami and R. Zukanovich Funchal, Resolving CP-violation by standard and nonstandard interactions and parameter degeneracy in neutrino oscillations, JHEP 01 (2010) 049 [arXiv:0904.3360] [SPIRES].
46. J. Burguet-Castell, M.B. Gavela, J.J. Gomez-Cadenas, P. Hernández and O. Mena, Superbeams plus neutrino factory: the golden path to leptonic CP-violation, Nucl. Phys. B 646 (2002) 301 [hep-ph/0207080] [SPIRES].
47. P. Huber, M. Lindner and W. Winter, Superbeams versus neutrino factories, Nucl. Phys. B 645 (2002) 3 [hep-ph/0204352] [SPIRES].
48. P. Huber, M. Lindner and W. Winter, Synergies between the first-generation JHF-SK and NuMI superbeam experiments, Nucl. Phys. B 654 (2003) 3 [hep-ph/0211300] [SPIRES].
49. P. Huber, M. Lindner and W. Winter, From parameter space constraints to the precision determination of the leptonic Dirac CP phase, JHEP 05 (2005) 020 [hep-ph/0412199] [SPIRES].
50. A. Donini, NUFACT'03: the fate of the clones, AIP Conf. Proc. 721 (2004) 219 [hep-ph/0310014] [SPIRES].
51. D. Autiero et al., The synergy of the golden and silver channels at the Neutrino Factory, Eur. Phys. J. C 33 (2004) 243 [hep-ph/0305185] [SPIRES].
52. A. Donini, E. Fernandez-Martinez, P. Migliozzi, S. Rigolin and L. Scotto Lavina, Study of the eightfold degeneracy with a standard beta-beam and a super-beam facility, Nucl. Phys. B 710 (2005) 402 [hep-ph/0406132] [SPIRES].
53. J. Burguet-Castell, D. Casper, J.J. Gomez-Cadenas, P. Hernández and F. Sanchez, Neutrino oscillation physics with a higher gamma beta-beam, Nucl. Phys. B 695 (2004) 217 [hep-ph/0312068] [SPIRES].
54. O. Mena and S.J. Parke, Untangling CP-violation and the mass hierarchy in long baseline experiments, Phys. Rev. D 70 (2004) 093011 [hep-ph/0408070] [SPIRES].
55. O. Mena Requejo, S. Palomares-Ruiz and S. Pascoli, Super-NOvA: a long-baseline neutrino experiment with two off-axis detectors, Phys. Rev. D 72 (2005) 053002 [hep-ph/0504015] [SPIRES].
56. O. Mena, S. Palomares-Ruiz and S. Pascoli, Determining the neutrino mass hierarchy and CP-violation in NOnuA with a second off-axis detector, Phys. Rev. D 73 (2006) 073007 [hep-ph/0510182] [SPIRES].
57. J.-E. Campagne, M. Maltoni, M. Mezzetto and T. Schwetz, Physics potential of the CERN-MEMPHYS neutrino oscillation project, JHEP 04 (2007) 003 [hep-ph/0603172] [SPIRES].
58. e appearance and CP-violation, hep-ex/0205040 [SPIRES].
59. M.V. Diwan et al., Very long baseline neutrino oscillation experiments for precise measurements of mixing parameters and CP-violating effects, Phys. Rev. D 68 (2003) 012002 [hep-ph/0303081] [SPIRES].
60. M. Ishitsuka, T. Kajita, H. Minakata and H. Nunokawa, Resolving neutrino mass hierarchy and CP degeneracy by two identical detectors with different baselines, Phys. Rev. D 72 (2005) 033003 [hep-ph/0504026] [SPIRES].
61. T. Kajita, H. Minakata, S. Nakayama and H. Nunokawa, Resolving eight-fold neutrino parameter degeneracy by two identical detectors with different baselines, Phys. Rev. D 75 (2007) 013006 [hep-ph/0609286] [SPIRES].
62. S. Geer, O. Mena and S. Pascoli, A Low energy neutrino factory for largeθ13, Phys. Rev. D 75 (2007) 093001 [hep-ph/0701258] [SPIRES].
63. A.D. Bross, M. Ellis, S. Geer, O. Mena and S. Pascoli, A neutrino factory for both large and smallθ13, Phys. Rev. D 77 (2008) 093012 [arXiv:0709.3889] [SPIRES].
64. V. Barger et al., Precision physics with a wide band super neutrino beam, Phys. Rev. D 74 (2006) 073004 [hep-ph/0607177] [SPIRES].
65. K. Hiraide et al., Resolvingθ23 degeneracy by accelerator and reactor neutrino oscillation experiments, Phys. Rev. D 73 (2006) 093008 [hep-ph/0601258] [SPIRES].
66. O.L.G. Peres and A.Y. Smirnov, Testing the solar neutrino conversion with atmospheric neutrinos, Phys. Lett. B 456 (1999) 204 [hep-ph/9902312] [SPIRES].
67. O.L.G. Peres and A.Y. Smirnov, Atmospheric neutrinos: lMA oscillations, U(e3) induced interference and CP-violation, Nucl. Phys. B 680 (2004) 479 [hep-ph/0309312] [SPIRES].
68. M.C. Gonzalez-Garcia, M. Maltoni and A.Y. Smirnov, Measuring the deviation of the 2-3 lepton mixing from maximal with atmospheric neutrinos, Phys. Rev. D 70 (2004) 093005 [hep-ph/0408170] [SPIRES].
69. S. Choubey and P. Roy, Probing the deviation from maximal mixing of atmospheric neutrinos, Phys. Rev. D 73 (2006) 013006 [hep-ph/0509197] [SPIRES].
70. M. Shiozawa et al., Future possibilities of atmospheric neutrino measurements, in the proceedings of the RCCN International Workshop on Sub-dominant Oscillation Effects in Atmospheric Neutrino Experiments, December 9{11, Kashiwa, Japan (2004), see pag. 57.
71. T. Kajita, Mega-ton water Cherenkov detectors for particle and astro-particle physics, Nucl. Phys. Proc. Suppl. 155 (2006) 87 [SPIRES].
72. P. Huber, M. Maltoni and T. Schwetz, Resolving parameter degeneracies in long-baseline experiments by atmospheric neutrino data, Phys. Rev. D 71 (2005) 053006 [hep-ph/0501037] [SPIRES].
73. D. Meloni, Solving the octant degeneracy with the silver channel, Phys. Lett. B 664 (2008) 279 [arXiv:0802.0086] [SPIRES].
74. E.K. Akhmedov, R. Johansson, M. Lindner, T. Ohlsson and T. Schwetz, Series expansions for three-avor neutrino oscillation probabilities in matter, JHEP 04 (2004) 078 [hep-ph/0402175] [SPIRES].
75. H. Minakata and H. Nunokawa, Measuring leptonic CP-violation by low energy neutrino oscillation experiments, Phys. Lett. B 495 (2000) 369 [hep-ph/0004114] [SPIRES].
76. J. Sato, Neutrino oscillation and CP-violation, Nucl. Instrum. Meth. A 472 (2001) 434 [hep-ph/0008056] [SPIRES].
77. B. Richter, Conventional beams or neutrino factories: the next generation of accelerator-based neutrino experiments, hep-ph/0008222 [SPIRES].
78. S. Geer, Neutrino beams from muon storage rings: characteristics and physics potential, Phys. Rev. D 57 (1998) 6989
79. [Erratum ibid. D 59 (1999) 039903] [hep-ph/9712290] [SPIRES].
80. A. De Rujula, M.B. Gavela and P. Hernández, Neutrino oscillation physics with a neutrino factory, Nucl. Phys. B 547 (1999) 21 [hep-ph/9811390] [SPIRES].
81. A. Donini, D. Meloni and P. Migliozzi, The silver channel at the Neutrino Factory, Nucl. Phys. B 646 (2002) 321 [hep-ph/0206034] [SPIRES].
82. H. Minakata, H. Nunokawa and S.J. Parke, CP and T trajectory diagrams for a unifed graphical representation of neutrino oscillations, Phys. Lett. B 537 (2002) 249 [hep-ph/0204171] [SPIRES].
83. H. Minakata, Large-θ13 perturbation theory of neutrino oscillation, Acta Phys. Polon. B 40 (2009) 3023 [arXiv:0910.5545] [SPIRES].
84. P. Zucchelli, A novel concept for affeffe neutrino factory: the beta beam , Phys. Lett. B 532 (2002) 166 [SPIRES].
85. J. Bouchez, M. Lindroos and M. Mezzetto, Beta beams: present design and expected performances, AIP Conf. Proc. 721 (2004) 37 [hep-ex/0310059] [SPIRES].
86. H. Minakata and H. Nunokawa, CP trajectory diagram: a tool for pictorial representation of CP and matter effects in neutrino oscillations, Nucl. Instrum. Meth. A 503 (2001) 218 [hep-ph/0111130] [SPIRES].
87. J. Arafune, M. Koike and J. Sato, CP violation and matter effect in long baseline neutrino oscillation experiments, Phys. Rev. D 56 (1997) 3093
88. [Erratum ibid. D 60 (1999) 119905] [hep-ph/9703351] [SPIRES].
89. H. Minakata and H. Nunokawa, CP violation vs. matter effect in long-baseline neutrino oscillation experiments, Phys. Rev. D 57 (1998) 4403 [hep-ph/9705208] [SPIRES].
90. S. Uchinami, Analysis of the structure of parameter degeneracy in neutrino oscillations, Dr. of Science Thesis, Tokyo Metropolitan University, Tokyo, Japan (2010), online at http://musashi.phys.metro-u.ac.jp/PhD Uchinami.pdf.
91. T. Kobayashi, Search for CP violation in JHF-hyper-K neutrinos (in Japanese), talk given at 8th TOKUTEI-RCCN Workshop on Neutrinos, November 9, Institute for Cosmic Ray Research, Chiba, Japan (2001), http://www-rccn.icrr.u- tokyo.ac.jp/nu-meeting/08/04-Kobayashi.pdf.
92. H. Minakata and H. Nunokawa, How to measure CP-violation in neutrino oscillation experiments?, Phys. Lett. B 413 (1997) 369 [hep-ph/9706281] [SPIRES].
93. H. Minakata and S. Uchinami, Parameter degeneracy in neutrino oscillation Solution network and structural overview, arXiv:1001.4219 [SPIRES], first version.
94. ISS Physics Working Group collaboration, A. Bandyopadhyay et al., Physics at a future Neutrino Factory and super-beam facility, Rept. Prog. Phys. 72 (2009) 106201 [arXiv:0710.4947] [SPIRES].
95. P. Huber and W. Winter, Neutrino factories and the 'magic' baseline, Phys. Rev. D 68 (2003) 037301 [hep-ph/0301257] [SPIRES].
96. N.C. Ribeiro, H. Minakata, H. Nunokawa, S. Uchinami and R. Zukanovich-Funchal, Probing non-standard neutrino interactions with neutrino factories, JHEP 12 (2007) 002 [arXiv:0709.1980] [SPIRES].
97. J. Kopp, T. Ota and W. Winter, Neutrino factory optimization for non-standard interactions, Phys. Rev. D 78 (2008) 053007 [arXiv:0804.2261] [SPIRES].
98. ISS Detector Working Group collaboration, T. Abe et al., Detectors and ux instrumentation for future neutrino facilities, 2009 JINST 4 T05001 [arXiv:0712.4129] [SPIRES].
99. H. Minakata, H. Nunokawa, S.J. Parke and R. Zukanovich Funchal, Determination of the neutrino mass hierarchy via the phase of the disappearance oscillation probability with a monochromatic anti-electron-neutrino source, Phys. Rev. D 76 (2007) 053004
100. [Erratum ibid. D 76 (2007) 079901] [hep-ph/0701151] [SPIRES].
101. H. Minakata, H. Nunokawa and S.J. Parke, The complementarity of eastern and western hemisphere long-baseline neutrino oscillation experiments, Phys. Rev. D 68 (2003) 013010 [hep-ph/0301210] [SPIRES].
102. A. Jansson, O. Mena, S.J. Parke and N. Saoulidou, Combining CPT-conjugate Neutrino channels at Fermilab, Phys. Rev. D 78 (2008) 053002 [arXiv:0711.1075] [SPIRES].
103. P. Huber, M. Lindner and W. Winter, Simulation of long-baseline neutrino oscillation experiments with GLoBES, Comput. Phys. Commun. 167 (2005) 195 [hep-ph/0407333] [SPIRES].
104. M. Blennow and E. Fernandez-Martinez, Neutrino oscillation parameter sampling with MonteCUBES, Comput. Phys. Commun. 181 (2010) 227 [arXiv:0903.3985] [SPIRES].