Possible new source of T and CP violation in neutrino oscillations

Physical Review D - Particles, Fields, Gravitation and Cosmology

Volumn 73, Issue 5, 2006, Pages

  Klinkhamer, Frans R ^a  

^a UNIVERSITY OF KARLSRUHE   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 33644623657     PISSN: 15507998     EISSN: 15502368     Source Type: Journal    
DOI: 10.1103/PhysRevD.73.057301     Document Type: Article

References (37)

1. M. Apollonio, hep-ph/0210192.
2. B. Kayser, eConf C040802:L004 (2004), hep-ph/0506165.
3. S.M. Bilenky and B. Pontecorvo, Phys. Rep. 41, 225 (1978). PRPLCM 0370-1573 10.1016/0370-1573(78)90095-9
4. Z. Maki, M. Nakagawa, and S. Sakata, Prog. Theor. Phys. 28, 870 (1962); PTPKAV 0033-068X 10.1143/PTP.28.870
5. M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973). PTPKAV 0033-068X 10.1143/PTP.49.652
6. F.R. Klinkhamer, JETP Lett. 79, 451 (2004) JTPLA2 0021-3640 10.1134/1.1780551
7. [F.R. Klinkhamer Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 79, 563 (2004)].
8. F.R. Klinkhamer, Int. J. Mod. Phys. A 21, 161 (2006). IMPAEF 0217-751X 10.1142/S0217751X06025298
9. F.R. Klinkhamer, Phys. Rev. D 71, 113008 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.71.113008
10. F.R. Klinkhamer and G.E. Volovik, JETP Lett. 80, 343 (2004) JTPLA2 0021-3640 10.1134/1.1825119
11. [F.R. Klinkhamer G.E. Volovik Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 80, 389 (2004)].
12. F.R. Klinkhamer and G.E. Volovik, Int. J. Mod. Phys. A 20, 2795 (2005). IMPAEF 0217-751X 10.1142/S0217751X05020902
13. F.R. Klinkhamer and G.E. Volovik, JETP Lett. 81, 551 (2005) JTPLA2 0021-3640 10.1134/1.2029942
14. [F.R. Klinkhamer G.E. Volovik Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 81, 683 (2005)].
15. D. Hooper, D. Morgan, and E. Winstanley, Phys. Rev. D 72, 065009 (2005). PRVDAQ 0556-2821 10.1103/PhysRevD.72.065009
16. M. Fukugita and T. Yanagida, Phys. Lett. B PYLBAJ 0370-2693 174, 45 (1986). 10.1016/0370-2693(86)91126-3
17. G.C. Branco, R. Gonzalez Felipe, F.R. Joaquim, I. Masina, M.N. Rebelo, and C.A. Savoy, Phys. Rev. D 67, 073025 (2003). PRVDAQ 0556-2821 10.1103/PhysRevD.67.073025
18. W. Buchmuller, R.D. Peccei, and T. Yanagida, Annu. Rev. Nucl. Part. Sci. 55, 311 (2005). ARPSDF 0163-8998 10.1146/annurev.nucl.55.090704.151558
19. G. 't Hooft, Phys. Rev. Lett. 37, 8 (1976). PRLTAO 0031-9007 10.1103/PhysRevLett.37.8
20. N.H. Christ, Phys. Rev. D 21, 1591 (1980). PRVDAQ 0556-2821 10.1103/PhysRevD.21.1591
21. F.R. Klinkhamer and N.S. Manton, Phys. Rev. D 30, 2212 (1984). PRVDAQ 0556-2821 10.1103/PhysRevD.30.2212
22. V.A. Kuzmin, V.A. Rubakov, and M.E. Shaposhnikov, Phys. Lett. 155B, 36 (1985). PYLBAJ 0370-2693 10.1016/0370-2693(85)91028-7
23. F.R. Klinkhamer and Y.J. Lee, Phys. Rev. D 64, 065024 (2001); PRVDAQ 0556-2821 10.1103/PhysRevD.64.065024
24. F.R. Klinkhamer, hep-ph/0209227.
25. Consider, for example, an emergent-physics scenario with NF=3 fermion families and two cutoff scales: EUV∼1042GeV corresponding to the fundamental, Lorentz-violating fermionic theory and Ec∼1013GeV corresponding to the compositeness scale of the standard model gauge bosons. (The approximate numerical values of these cutoff scales are based on the gauge coupling constants measured at LEP and the corresponding renormalization group equations.) The idea, now, is that the ultrahigh-energy Lorentz violation reenters at ultralow energy (Ec)2/EUV∼10-7eV and that this energy scale determines the Lorentz noninvariance in the neutrino sector (b0(i)0). Reentrance effects in superfluid He3-A have been discussed by G.E. Volovik, JETP Lett. 73, 162 (2001) JTPLA2 0021-3640 10.1134/1.1368706
26. G.E. Volovik [Pis'ma Zh. Eksp. Teor. Fiz. PZETAB 0370-274X 73, 182 (2001)].
27. For standard mass-difference neutrino oscillations, matter effects (coherent forward scattering) from the Earth's mantle become important at Eν∼10GeV and L∼2500km; cf.Refs.
28. The notation of the neutrino dispersion relation in Refs. differs from the one used here and in Ref., but the different sign of b0(f) can be compensated by a sign change of the complex phase. For example, setting =-ω in the exact model probability P(νμ→νe) from Eq. (11e) in Ref. reproduces the numerical ρ→ results for R=1, ω=χ21=χ32=π/4, and χ13=arctan 1/2 π/5 (these numerical results resemble those of Fig. 1 for χ13=π/4).
29. For a case study and further model results, see an earlier version of this article, F.R. Klinkhamer, hep-ph/0509111.
30. Super-Kamiokande data, interpreted with a pure Fermi-point-splitting model, may hint at a nonzero value of the complex phase, as argued in footnote b of Ref.
31. S. Geer, Phys. Rev. D 57, 6989 (1998); PRVDAQ 0556-2821 10.1103/PhysRevD.57.6989
32. S. Geer Phys. Rev. D 59, 039903 (1999). PRVDAQ 0556-2821 10.1103/PhysRevD.59.039903
33. A. Cervera, A. Donini, M.B. Gavela, J.J. Gomez Cadenas, P. Hernandez, O. Mena, and S. Rigolin, Nucl. Phys. NUPBBO 0550-3213 B579, 17 (2000); 10.1016/S0550-3213(00)00221-2
34. A. Cervera A. Donini M.B. Gavela J.J. Gomez Cadenas P. Hernandez O. Mena S. Rigolin Nucl. Phys. NUPBBO 0550-3213 B593, 731 (2001). 10.1016/S0550-3213(00) 00606-4
35. A. Bueno, M. Campanelli, S. Navas-Concha, and A. Rubbia, Nucl. Phys. NUPBBO 0550-3213 B631, 239 (2002). 10.1016/S0550-3213(02)00211-0
36. See, in particular, Fig. 18 for the T-violation discriminant ΔT Peμ-Pμe from pure mass-difference neutrino oscillations for reference values θ13 0.113 and Rm=1/30, with ΔT rapidly dropping to zero for Eν→. In contrast, the reference values of our model parameters are χ13=π/4 and R=1, with ΔT approaching a (generically nonzero) constant value for Eν→.
37. D.S. Ayres (NOνA Collaboration), hep-ex/0503053.