CP violating neutrino oscillation and uncertainties in Earth matter density

Physical Review D

Volumn 66, Issue 5, 2002, Pages

  Shan, Lian You ^a,b   Young, Bing Lin ^c   Zhang, Xinmin ^a  

^a INSTITUTE OF HIGH ENERGY PHYSICS   (China)

^b CCAST WORLD LABORATORY   (China)

^c IOWA STATE UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ARTICLE; DENSITY; MATHEMATICAL ANALYSIS; OSCILLATION; QUANTITATIVE ANALYSIS; STATISTICAL ANALYSIS;

EID: 4243810611     PISSN: 05562821     EISSN: None     Source Type: Journal    
DOI: 10.1103/PhysRevD.66.053012     Document Type: Article

References (54)

1. G.L. Fogli and E. Lisi, Phys. Rev. D 54, 3667 (1996);
2. M. Tanimoto, Phys. Rev. D ibid. 55, 322 (1997);
3. S.M. Bilenky, C. Giunti, and W. Grimus, Phys. Rev. D ibid. 58, 033001 (1998);
4. V. Barger, S. Geer, and K. Whisnant, Phys. Rev. D ibid. 61, 053004 (2000);
5. S. Parke and T.J. Weiler, Phys. Lett. B 501, 106 (2001).
6. L. Wolfenstein, Phys. Rev. D 17, 2369 (1978);
7. S.P. Mikheyev and A.Yu. Smirnov, Sov. J. Nucl. Phys. 42, 913 (1985).
8. J. Arafune, M. Koike, and J. Sato, Phys. Rev. D 56, 3093 (1997);
9. J. Arafune, M. Koike, and J. Sato, Phys. Rev. D 60, 119905(E) (1999);
10. P. Lipari, Phys. Rev. D ibid. 61, 113004 (2000);
11. C. Lunardini and A.Yu. Smimov, ibid. 63, 073009Gavela (2001);
12. J. Burguet-Castell, M.B. Gavela, J.J. Gomez-Cadenas, P. Hernandez, and O. Mena, Nucl. Phys. B608, 301 (2001).
13. H. Minakata and H. Nunokawa, Phys. Rev. D 57, 4403 (1998).
14. M. Maris and S.T. Petcov, Phys. Rev. D 56, 7444 (1997).
15. M. Freund and T. Ohlsson, Mod. Phys. Lett. A15, 867 (2000), and references therein.
16. J. Sato, Mod. Phys. Lett. A14, 1297 (1999);
17. T. Ota and J. Sato, Phys. Rev. D 63, 093004 (2001).
18. A.M. Dziewonsky and D.L. Anderson, Phys. Earth Planet. Inter. 25, 297 (1981).
19. T. Ohlsson and H. Snellman, Eur. Phys. J. C 20, 507 (2001).
20. T. Ohlsson and W. Winter, Phys. Lett. B 512, 357 (2001).
21. R. Jeanlow and S. Morris, Annu. Rev. Earth Planet Sci. 14, 377 (1986);
22. R. Jeanlow, Annu. Rev. Earth Planet Sci. ibid. 18, 357 (1990);
23. Fu-Tian Liu et al., Geophys. J. Int. 101, 379 (1990);
24. T.P. Yegorova et al., Geophys. J. Int. ibid. 132, 283 (1998);
25. B. Romanowicz, Geophys. Res. Lett. 28, 1107 (2001).
26. G.E. Backus and J.F. Gilbert, Philos. Trans. R. Soc. London A266, 123 (1970);
27. W. Menke, Geophysical Data Analysis: Discrete Inverse Theory (Academic, New York, 1984).
28. D.D. Jackson, Geophys. J. R. Astron. Soc. 28, 97 (1972);
29. K. E. Bullen, The Earth's Density (Chapman and Hall, London, 1975).
30. B.A. Bolt, Q. J. R. Astron. Soc. 32, 367 (1991).
31. Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. Phys. 28, 870 (1962);
32. E.Kh. Akhmedov, S.T. Petcov, and A.Yu. Smirnov, Phys. Lett. B 309, 95 (1993);
33. Particle Data Group, D. Groom et al., Eur. Phys. J. C 15, 110 (2000).
34. We follow the notation used in H.S. Chen et al., "Report of a Study on H2B, Prospect of a Very Long Baseline Neutrino Oscillation Experiment HIPA to Beijing," VLBL Study Group-H2B-1, Report No. IHEP-EP-2001-01, 2001, hep-ph/0104266, where the explicit form of U can be found.
35. The quantum oscillation is a well-known time translation problem and expressing it as a time ordering operator is a standard approach. A discussion of this formulation can be found in Bing-Lin Young, "Lecture Notes on Neutrino Oscillation," Beijing Summer School in Particle Physics, 2000.
36. B.L.N. Kennet et al., Geophys. J. R. Astron. Soc. 122, 108 (1995);
37. J.P. Montagner et al., Geophys. J. R. Astron. Soc. ibid. 125, 229 (1995).
38. F. Press, J. Geophys. Res. 73, 5223 (1968).
39. B.L.N. Kennett, Geophys. J. R. Astron. Soc. 132, 374 (1998).
40. A. Tarantola, Inverse Problem Theory, Methods for Data Fitting and Model Parameter Estimation (Elsevier, Amsterdam, 1987).
41. The plot of the PREM as given in Fig. 2 was first given in M. Freund and T. Ohlsson, Mod. Phys. Lett. A 15, 867 (2000).
42. J. Pinney, talk given at the 3rd International Workshop on Neutrino Factory based on Muon Storage Rings (NuFACT01), Tsukuba, Japan, 2001, hep-ph/0106210.
43. J. Burguet-Castell and O. Mena, hep-ph/0108109.
44. V. Barger, K. Whisnant, and R.J.N. Phillips, Phys. Rev. Lett. 45, 2084 (1980);
45. M. Fukugita and M. Tanimoto, Phys. Lett. B 515, 30 (2001).
46. G.L. Fogli, E. Lisi, A. Marrone, and G. Scioscia, Phys. Rev. D 59, 033001 (1999).
47. Particle Data Group, [15], p. 198.
48. B.A. Bolt and R.A. Uhrhmmer, Geophys. J. Int. 42, 419 (1975).
49. C. Albright et al., "Physics at a Neutrino Factory," hep-ex/0008064'.
50. V. Barger et al., "Oscillation Measurements with Upgraded Conventional Neutrino Beam," hep-ph/0103052.
51. CHOOZ Collaboration, M. Apollonio et al., Phys. Lett. B 420, 397 (1998);
52. M. Apollonio et al., Phys. Lett. B 466, 415 (1999);
53. Super-K Collaboration, S. Fukuda et al., Phys. Rev. Lett. 86, 5651 (2001);
54. SNO Collaboration, Q.R. Ahmad, Phys. Rev. Lett. ibid. 87, 071301 (2001).