Series expansions for three-flavor neutrino oscillation probabilities in matter

Journal of High Energy Physics

Volumn 8, Issue 4, 2004, Pages 1821-1857

  Akhmedov, Evgeny K ^a   Johansson, Robert ^b   Lindner, Manfred ^c   Ohlsson, Tommy ^b   Schwetz, Thomas ^c  

^a CSIC   (Spain)

^b ALBANOVA UNIVERSITY CENTER   (Sweden)

^c TECHNICAL UNIVERSITY OF MUNICH   (Germany)

Author keywords

Neutrino Physics; Solar and Atmospheric Neutrinos

Indexed keywords

EID: 23044473810     PISSN: 10298479     EISSN: 10298479     Source Type: Journal    
DOI: 10.1088/1126-6708/2004/04/078     Document Type: Article

References (64)

1. SUPER-KAMIOKANDE collaboration, Y. Fukuda et al., Evidence for oscillation of atmospheric neutrinos, Phys. Rev. Lett. 81 (1998) 1562 [hep-ex/9807003];
2. Measurement of the flux and zenith-angle distribution of upward throughgoing muons by Super-Kamiokande, Phys. Rev. Lett. 82 (1999) 2644 [hep-ex/9812014].
3. SUPER-KAMIOKANDE collaboration, Y. Hayato, Status of the Super-Kamiokande, the K2K experiment and the J-PARC ν project, talk at the HEP2003 europhysics conference, Aachen, Germany 2003, http://eps2003.physik. rwth-aachen.de.
4. MACRO collaboration, M. Ambrosio et al., Atmospheric neutrino oscillations from upward throughgoing muon multiple scattering in MACRO, Phys. Lett. B 566 (2003) 35 [hep-ex/0304037].
5. K2K collaboration, M.H. Ahn et al., Indications of neutrino oscillation in a 250km long-baseline experiment, Phys. Rev. Lett. 90 (2003) 041801 [hep-ex/0212007].
6. B.T. Cleveland et al., Measurement of the solar electron neutrino flux with the Homestake chlorine detector, Astrophys. J. 496 (1998) 505;
7. SAGE collaboration, J.N. Abdurashitov et al., Solar neutrino flux measurements by the Soviet-American gallium experiment (SAGE) for half the 22-year solar cycle, J. Exp. Theor. Phys. 95 (2002) 181
8. [Zh. Eksp. Tear. Fiz. 122 (2002) 211] [astro-ph/0204245];
9. GALLEX collaboration, W. Hampel et al., GALLEX solar neutrino observations: results for GALLEXIV, Phys. Lett. B 447 (1999) 127;
10. GNO collaboration, M. Altmann et al., GNO solar neutrino observations: results for GNO I, Phys. Lett. B 490 (2000) 16 [hep-ex/0006034];
11. SUPER-KAMIOKANDE collaboration, S. Fukuda et al., Determination of solar neutrino oscillation parameters using 1496 days of Super-Kamiokande-I data, Phys. Lett. B 539 (2002) 179 [hep-ex/0205075];
12. SNO collaboration, Q.R. Ahmad et al., Direct evidence for neutrino flavor transformation from neutral-current interactions in the sudbury neutrino observatory, Phys. Rev. Lett. 89 (2002) 011301 [nucl-ex/0204008];
13. 8B solar neutrino flux at the Sudbury Neutrino Observatory with enhanced neutral current sensitivity, nucl-ex/0309004.
14. KAMLAND collaboration, K. Eguchi et al., First results from KamLAND: evidence for reactor antineutrino disappearance, Phys. Rev. Lett. 90 (2003) 021802 [hep-ex/0212021].
15. CHOOZ collaboration, M. Apollonio et al., Limits on neutrino oscillations from the CHOOZ experiment, Phys. Lett. B 466 (1999) 415 [hep-ex/9907037];
16. 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].
17. S.M. Bilenky, Neutrino oscillations and neutrino mixing, Fiz. Elem. Chast. Atom. Yadra 18 (1987) 449;
18. S.M. Bilenky and S.T. Petcov, Massive neutrinos and neutrino oscillations, Rev. Mod. Phys. 59 (1987) 671, errata ibid. 60 (1988) 575.
19. S.M. Bilenky and S.T. Petcov, Massive neutrinos and neutrino oscillations, Rev. Mod. Phys., ibid. 61 (1989) 169.
20. V.D. Barger, K. Whisnant, S. Pakvasa and R.J.N. Phillips, Matter effects on three-neutrino oscillations, Phys. Rev. D 22 (1980) 2718.
21. C.W. Kim and W.K. Sze, Adiabatic resonant oscillations of solar neutrinos in three generations, Phys. Rev. D 35 (1987) 1404.
22. H.W. Zaglauer and K.H. Schwarzer, The mixing angles in matter for three generations of neutrinos and the MSW mechanism, Z. Physik C 40 (1988) 273.
23. T. Ohlsson and H. Snellman, Three flavor neutrino oscillations in matter, J. Math. Phys. 41 (2000) 2768 [hep-ph/9910546], erratum ibid. 42 (2001) 2345;
24. Neutrino oscillations with three flavors in matter: applications to neutrinos traversing the Earth, Phys. Lett. B 474 (2000) 153 [hep-ph/9912295], erratum ibid. 480 (2000) 419.
25. Z.-z. Xing, New formulation of matter effects on neutrino mixing and CP violation, Phys. Lett. B 487 (2000) 327 [hep-ph/0002246].
26. T. Ohlsson, Neutrino oscillations in matter and their applications, Phys. Script a T93 (2001) 18.
27. K. Kimura, A. Takamura and H. Yokomakura, Exact formula of probability and CP-violation for neutrino oscillations in matter, Phys. Lett. B 537 (2002) 86 [hep-ph/0203099];
28. Exact formulas and simple CP dependence of neutrino oscillation probabilities in matter with constant density, Phys. Rev. D 66 (2002) 073005 [hep-ph/0205295].
29. P.F. Harrison, W.G. Scott and T. J. Weiler, Exact matter-covariant formulation of neutrino oscillation probabilities, Phys. Lett. B 565 (2003) 159 [hep-ph/0305175].
30. H. Lehmann, P. Osland and T.T. Wu, Mikheyev-Smirnov- Wolfenstein effect for linear electron density, Commun. Math. Phys. 219 (2001) 77 [hep-ph/0006213].
31. P. Osland and T.T. Wu, Solar Mikheyev-Smirnov- Wolfenstein effect with three generations of neutrinos, Phys. Rev. D 62 (2000) 013008 [hep-ph/9912540].
32. T.K. Kuo and J. Pantaleone, Solar neutrino problem and three-neutrino oscillations, Phys. Rev. Lett. 57 (1986) 1805.
33. A.Y. Smirnov, Three neutrino oscillations in matter, Yad. Fiz. 46 (1987) 1152
34. [Sov. J. Nucl. Phys. 46 (1987) 672].
35. T.K. Kuo and J. Pantaleone, Three-neutrino oscillations and the solar-neutrino experiments, Phys. Rev. D 35 (1987) 3432.
36. S.T. Petcov and S. Toshev, Three neutrino oscillations in matter: analytical results in the adiabatic approximation, Phys. Lett. B 187 (1987) 120.
37. T. Ohlsson and H. Snellman, Neutrino oscillations with three flavors in matter of varying density, Eur. Phys. J. C 20 (2001) 507 [hep-ph/0103252].
38. J.C. D'Olivo and J.A. Oteo, Nonadiabatic three-neutrino oscillations in matter, Phys. Rev. D 54 (1996) 1187.
39. L. Wolfenstein, Neutrino oscillations in matter, Phys. Rev. D 17 (1978) 2369;
40. S.P. Mikheyev and A.Y. Smirnov, Resonance enhancement of oscillations in matter and solar neutrino spectroscopy, Yad. Fiz. 42 (1985) 1441
41. [Sov. J. Nucl. Phys. 42 (1985) 913].
42. E.K. Akhmedov, A. Dighe, P. Lipari and A.Y. Smirnov, Atmospheric neutrinos at super-Kamiokande and parametric resonance in neutrino oscillations, Nucl. Phys. B 542 (1999) 3 [hep-ph/9808270].
43. 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].
44. E.K. Akhmedov, P. Huber, M. Lindner and T. Ohlsson, T violation in neutrino oscillations in matter, Nucl. Phys. B 608 (2001) 394 [hep-ph/0105029].
45. e3 effects on atmospheric ν data?, Nucl. Phys. 110 (Proc. Suppl.) (2002) 355 [hep-ph/0201069];
46. e3 induced interference and CP-violation, Nucl. Phys. B 680 (2004) 479 [hep-ph/0309312].
47. O. Yasuda, Three flavor neutrino oscillations and application to long baseline experiments, Acta Phys. Polon. B30 (1999) 3089 [hep-ph/9910428].
48. M. Freund, M. Lindner, S.T. Petcov and A. Romanino, Testing matter effects in very long baseline neutrino oscillation experiments, Nucl. Phys. B 578 (2000) 27 [hep-ph/9912457].
49. 2 scales, J. High Energy Phys. 11 (2001) 050 [hep-ph/0106139].
50. J. Arafune, M. Koike and J. Sato, CP violation and matter effect in long baseline neutrino oscillation experiments, Phys. Rev. D 56 (1997) 3093 [hep-ph/9703351].
51. B. Brahmachari, S. Choubey and P. Roy, CP violation and matter effect for a variable earth density in very long baseline experiments, Nucl. Phys. B 671 (2003) 483 [hep-ph/0303078].
52. A. Cervera et al., Golden measurements at a neutrino factory, Nucl. Phys. B 579 (2000) 17 [hep-ph/0002108], erratum ibid. 593 (2001) 731.
53. M. Freund, Analytic approximations for three neutrino oscillation parameters and probabilities in matter, Phys. Rev. D 64 (2001) 053003 [hep-ph/0103300].
54. M. Freund, P. Huber and M. Lindner, Systematic exploration of the neutrino factory parameter space including errors and correlations, Nucl. Phys. B 615 (2001) 331 [hep-ph/0105071].
55. V. Barger, D. Marfatia and K. Whisnant, Breaking eightfold degeneracies in neutrino CP violation, mixing and mass hierarchy, Phys. Rev. D 65 (2002) 073023 [hep-ph/0112119].
56. PARTICLE DATA GROUP collaboration, K. Hagiwara et al., Review of particle physics, Phys. Rev. D 66 (2002) 010001.
57. M. Maltoni, T. Schwetz, M.A. Tortola and J.W.F. Valle, Status of three-neutrino oscillations after the SNO-salt data, Phys. Rev. D 68 (2003) 113010 [hep-ph/0309130].
58. F.J. Botella, C.S. Lim and W.J. Marciano, Radiative corrections to neutrino indices of refraction, Phys. Rev. D 35 (1987) 896.
59. A. Nicolaidis, Neutrinos for geophysics, Phys. Lett. B 200 (1988) 553.
60. Q.Y. Liu, S.P. Mikheyev and A.Y. Smirnov, Parametric resonance in oscillations of atmospheric neutrinos?, Phys. Lett. B 440 (1998) 319 [hep-ph/9803415].
61. M. Freund and T. Ohlsson, Matter enhanced neutrino oscillations with a realistic earth density profile, Mod. Phys. Lett. A 15 (2000) 867 [hep-ph/9909501].
62. A. de Gouvêa, Oscillation probability of GeV solar neutrinos of all active species, Phys. Rev. D 63 (2001) 093003 [hep-ph/0006157].
63. P. Huber and W. Winter, Neutrino factories and the "magic" baseline, Phys. Rev. D 68 (2003) 037301 [hep-ph/0301257].
64. M. Jacobson and T. Ohlsson, Extrinsic CPT violation in neutrino oscillations in matter, Phys. Rev. D 69 (2004) 013003 [hep-ph/0305064].