- Access by Xinjiang University
Extrinsic CPT violation in neutrino oscillations in matter
Phys. Rev. D 69, 013003 – Published 15 January, 2004
DOI: https://doi.org/10.1103/PhysRevD.69.013003
Abstract
We investigate matter-induced (or extrinsic) CPT violation effects in neutrino oscillations in matter. Especially, we present approximate analytical formulas for the CPT-violating probability differences for three flavor neutrino oscillations in matter with an arbitrary matter density profile. Note that we assume that the CPT invariance theorem holds, which means that the CPT violation effects arise entirely because of the presence of matter. As special cases of matter density profiles, we consider constant and step-function matter density profiles, which are relevant for neutrino oscillation physics in accelerator and reactor long baseline experiments as well as neutrino factories. Finally, the implications of extrinsic CPT violation on neutrino oscillations in matter for several past, present, and future long baseline experiments are estimated.
References (136)
- S.R. Coleman and S.L. Glashow, Phys. Lett. B 405, 249 (1997).
- S.R. Coleman and S.L. Glashow, Phys. Rev. D 59, 116008 (1999).
- V.D. Barger, S. Pakvasa, T.J. Weiler, and K. Whisnant, Phys. Rev. Lett. 85, 5055 (2000).
- H. Murayama and T. Yanagida, Phys. Lett. B 520, 263 (2001).
- M.C. Bañuls, G. Barenboim, and J. Bernabéu, Phys. Lett. B 513, 391 (2001).
- G. Barenboim, L. Borissov, J. Lykken, and A.Y. Smirnov, J. High Energy Phys. 10, 001 (2002).
- G. Barenboim, L. Borissov, and J. Lykken, Phys. Lett. B 534, 106 (2002).
- G. Barenboim, J.F. Beacom, L. Borissov, and B. Kayser, Phys. Lett. B 537, 227 (2002).
- G. Barenboim and J. Lykken, Phys. Lett. B 554, 73 (2003).
- G. Barenboim, L. Borissov, and J. Lykken, hep-ph/0212116.
- S. Pakvasa, hep-ph/0110175.
- Z.-z. Xing, J. Phys. G 28, B7 (2002).
- S. Skadhauge, Nucl. Phys. B639, 281 (2002).
- S.M. Bilenky et al., Phys. Rev. D 65, 073024 (2002).
- T. Ohlsson, hep-ph/0209150.
- J.N. Bahcall, V. Barger, and D. Marfatia, Phys. Lett. B 534, 120 (2002).
- A. Strumia, Phys. Lett. B 539, 91 (2002).
- I. Mocioiu and M. Pospelov, Phys. Lett. B 534, 114 (2002).
- A. De Gouvêa, Phys. Rev. D 66, 076005 (2002).
- LSND Collaboration, C. Athanassopoulos et al., Phys. Rev. Lett. 77, 3082 (1996).
- LSND Collaboration, C. Athanassopoulos et al., Phys. Rev. Lett. 81, 1774 (1998).
- LSND Collaboration, A. Aguilar et al., Phys. Rev. D 64, 112007 (2001).
- Super-Kamiokande Collaboration, Y. Fukuda et al., Phys. Rev. Lett. 81, 1562 (1998).
- Super-Kamiokande Collaboration, Y. Fukuda et al., Phys. Rev. Lett. 82, 2644 (1999).
- Super-Kamiokande Collaboration, S. Fukuda et al., Phys. Rev. Lett. 85, 3999 (2000).
- M. Shiozawa, talk given at the XXth International Conference on Neutrino Physics & Astrophysics (Neutrino 2002), Munich, Germany, 2002.
- Super-Kamiokande Collaboration, S. Fukuda et al., Phys. Rev. Lett. 86, 5651 (2001).
- Super-Kamiokande Collaboration, S. Fukuda et al., Phys. Rev. Lett. 86, 5656 (2001).
- Super-Kamiokande Collaboration, M.B. Smy, hep-ex/0106064.
- Super-Kamiokande Collaboration, S. Fukuda et al., Phys. Lett. B 539, 179 (2002).
- M. Smy, talk given at the XXth International Conference on Neutrino Physics & Astrophysics (Neutrino 2002), Munich, Germany, 2002.
- SNO Collaboration, Q.R. Ahmad et al., Phys. Rev. Lett. 87, 071301 (2001).
- SNO Collaboration, Q.R. Ahmad et al., Phys. Rev. Lett. 89, 011301 (2002).
- SNO Collaboration, Q.R. Ahmad et al., Phys. Rev. Lett. 89, 011302 (2002).
- A. Hallin, talk given at the XXth International Conference on Neutrino Physics & Astrophysics (Neutrino 2002), Munich, Germany, 2002.
- MiniBooNE Collaboration, http://www-boone.fnal.gov/
- J.N. Bahcall, M.C. Gonzalez-Garcia, and C. Peña-Garay, J. High Energy Phys. 07, 054 (2002).
- G. Lüders, K. Dan. Vidensk. Selsk. Mat. Fys. Medd. 28, 5 (1954).
- W. Pauli, in Niels Bohr and the Development of Physics, edited by W. Pauli, L. Rosenfeld, and V. Weisskopf (Pergamon, London, 1955).
- J.S. Bell, Proc. R. Soc. London A231, 479 (1955).
- KamLAND Collaboration, K. Eguchi et al., Phys. Rev. Lett. 90, 021802 (2003).
- J.N. Bahcall, M.C. Gonzalez-Garcia, and C. Peña-Garay, J. High Energy Phys. 02, 009 (2003).
- E.K. Akhmedov, P. Huber, M. Lindner, and T. Ohlsson, Nucl. Phys. B608, 394 (2001).
- J. Bernabéu, hep-ph/9904474.
- J. Bernabéu, S. Palomares-Ruiz, A. Perez, and S.T. Petcov, Phys. Lett. B 531, 90 (2002).
- J. Bernabéu and S. Palomares-Ruiz, hep-ph/0112002.
- J. Bernabéu and S. Palomares-Ruiz, Nucl. Phys. B (Proc. Suppl.) 110, 339 (2002).
- J. Arafune, M. Koike, and J. Sato, Phys. Rev. D 56, 3093 (1997).
- H. Minakata and H. Nunokawa, Phys. Rev. D 57, 4403 (1998).
- H. Minakata and H. Nunokawa, Phys. Lett. B 413, 369 (1997).
- K.R. Schubert, hep-ph/9902215.
- K. Dick, M. Freund, M. Lindner, and A. Romanino, Nucl. Phys. B562, 29 (1999).
- A. Donini, M.B. Gavela, P. Hernandez, and S. Rigolin, Nucl. Phys. B574, 23 (2000).
- A. Cervera et al., Nucl. Phys. B579, 17 (2000); ibid.A. CerveraB593, 731(E) (2001).
- H. Minakata and H. Nunokawa, Phys. Lett. B 495, 369 (2000).
- V.D. Barger, S. Geer, R. Raja, and K. Whisnant, Phys. Rev. D 63, 033002 (2001).
- P.M. Fishbane and P. Kaus, Phys. Lett. B 506, 275 (2001).
- M.C. Gonzalez-Garcia, Y. Grossman, A. Gusso, and Y. Nir, Phys. Rev. D 64, 096006 (2001).
- H. Minakata and H. Nunokawa, J. High Energy Phys. 10, 001 (2001).
- H. Minakata, H. Nunokawa, and S. Parke, Phys. Lett. B 537, 249 (2002).
- K. Kimura, A. Takamura, and H. Yokomakura, Phys. Rev. D 66, 073005 (2002).
- H. Yokomakura, K. Kimura, and A. Takamura, Phys. Lett. B 544, 286 (2002).
- T. Ota and J. Sato, Phys. Rev. D 67, 053003 (2003).
- T.K. Kuo and J. Pantaleone, Phys. Lett. B 198, 406 (1987).
- P.I. Krastev and S.T. Petcov, Phys. Lett. B 205, 84 (1988).
- S. Toshev, Phys. Lett. B 226, 335 (1989).
- S. Toshev, Mod. Phys. Lett. A 6, 455 (1991).
- J. Arafune and J. Sato, Phys. Rev. D 55, 1653 (1997).
- M. Koike and J. Sato, hep-ph/9707203.
- S.M. Bilenky, C. Giunti, and W. Grimus, Phys. Rev. D 58, 033001 (1998).
- V.D. Barger, Y.-B. Dai, K. Whisnant, and B.-L. Young, Phys. Rev. D 59, 113010 (1999).
- M. Koike and J. Sato, Phys. Rev. D 61, 073012 (2000).
- O. Yasuda, Acta Phys. Pol. B 30, 3089 (1999).
- J. Sato, Nucl. Instrum. Methods Phys. Res. A 451, 36 (2000).
- M. Koike and J. Sato, Phys. Rev. D 62, 073006 (2000).
- P.F. Harrison and W.G. Scott, Phys. Lett. B 476, 349 (2000).
- V.A. Naumov, Zh. Éksp. Teor. Fiz. 101, 3 (1992) [Sov. Phys. JETP 74, 1 (1992)].
- V.A. Naumov, Int. J. Mod. Phys. D 1, 379 (1992).
- H. Yokomakura, K. Kimura, and A. Takamura, Phys. Lett. B 496, 175 (2000).
- S.J. Parke and T.J. Weiler, Phys. Lett. B 501, 106 (2001).
- M. Koike, T. Ota, and J. Sato, Phys. Rev. D 65, 053015 (2002).
- T. Miura, E. Takasugi, Y. Kuno, and M. Yoshimura, Phys. Rev. D 64, 013002 (2001).
- T. Miura, T. Shindou, E. Takasugi, and M. Yoshimura, Phys. Rev. D 64, 073017 (2001).
- A. Rubbia, hep-ph/0106088.
- Z.-z. Xing, Phys. Rev. D 64, 093013 (2001).
- T. Ota, J. Sato, and Y. Kuno, Phys. Lett. B 520, 289 (2001).
- T. Ohlsson, hep-ph/0108048.
- A. Bueno, M. Campanelli, S. Navas-Concha, and A. Rubbia, Nucl. Phys. B631, 239 (2002).
- J. Sato, eConf C010630, E105, 2001.
- E.K. Akhmedov, Nucl. Phys. B (Proc. Suppl.) 118, 245 (2003).
- H. Minakata, H. Nunokawa, and S. Parke, Phys. Rev. D 66, 093012 (2002).
- P. Huber, J. Phys. G 29, 1853 (2003).
- C.N. Leung and Y.Y.Y. Wong, Phys. Rev. D 67, 056005 (2003).
- S.M. Bilenky and B. Pontecorvo, Phys. Rep. 41, 225 (1978).
- S.M. Bilenky and S.T. Petcov, Rev. Mod. Phys. 59, 671 (1987); ibid.61, 169(E) (1989).
- M. Lindner, hep-ph/0209083; hep-ph/0210377, and references therein.
- H. Minakata (private communication).
- C. Jarlskog, Phys. Rev. Lett. 55, 1039 (1985).
- C. Jarlskog, Z. Phys. C C29, 491 (1985).
- J.N. Bahcall, M.C. Gonzalez-Garcia, and C. Peña-Garay, J. High Energy Phys. 08, 014 (2001).
- J.N. Bahcall, M.C. Gonzalez-Garcia, and C. Peña-Garay, J. High Energy Phys. 04, 007 (2002).
- CHOOZ Collaboration, M. Apollonio et al., Phys. Lett. B 420, 397 (1998).
- CHOOZ Collaboration, M. Apollonio et al., Phys. Lett. B 466, 415 (1999).
- CHOOZ Collaboration, M. Apollonio et al., Eur. Phys. J. C 27, 331 (2003).
- A.M. Dziewonski and D.L. Anderson, Phys. Earth Planet. Inter. 25, 297 (1981).
- M. Freund and T. Ohlsson, Mod. Phys. Lett. A 15, 867 (2000), and references therein.
- BNL Neutrino Working Group Collaboration, D. Beavis et al., hep-ex/0205040.
- W.J. Marciano, hep-ph/0108181.
- M.V. Diwan et al., Phys. Rev. D 68, 012002 (2003).
- BooNE Collaboration, E.D. Zimmerman, eConf C0209101, TH05, 2002, hep-ex/0211039.
- BooNE Collaboration, A.O. Bazarko, hep-ex/0210020.
- ICARUS Collaboration, A. Rubbia et al., cERN-SPSLC-96-58.
- ICARUS Collaboration, F. Arneodo et al., hep-ex/0103008.
- OPERA and ICARUS Collaboration, D. Duchesneau, eConf C0209101, TH09, 2002.
- JHF-Kamioka Collaboration, Y. Itow et al., hep-ex/0106019.
- K2K Collaboration, S.H. Ahn et al., Phys. Lett. B 511, 178 (2001).
- K2K Collaboration, M.H. Ahn et al., Phys. Rev. Lett. 90, 041801 (2003).
- MINOS Collaboration, S.G. Wojcicki, Nucl. Phys. B (Proc. Suppl.) 91, 216 (2001).
- MINOS Collaboration, V. Paolone, Nucl. Phys. B (Proc. Suppl.) 100, 197 (2001).
- MINOS Collaboration, M.V. Diwan, eConf C0209101, TH08, 2002, hep-ex/0211026.
- NuMI Collaboration, D. Ayres et al., hep-ex/0210005.
- NuTeV Collaboration, S. Avvakumov et al., Phys. Rev. Lett. 89, 011804 (2002).
- OPERA Collaboration, H. Pessard, Phys. Scr., T T93, 59 (2001).
- Palo Verde Collaboration, F. Boehm et al., Prog. Part. Nucl. Phys. 40, 253 (1998).
- Palo Verde Collaboration, F. Boehm et al., Phys. Rev. Lett. 84, 3764 (2000).
- Palo Verde Collaboration, F. Boehm et al., Phys. Rev. D 62, 072002 (2000).
- Palo Verde Collaboration, F. Boehm et al., Phys. Rev. D 64, 112001 (2001).
- T. Ohlsson and H. Snellman, J. Math. Phys. 41, 2768 (2000); ibid.42, 2345(E) (2001).
- T. Ohlsson and H. Snellman, Phys. Lett. B 474, 153 (2000); ibid.480, 419(E) (2000).
- T. Ohlsson, Phys. Scr. T93, 18 (2001).
- E.K. Akhmedov, Nucl. Phys. B538, 25 (1999).
- E.K. Akhmedov, hep-ph/0001264.
- Particle Data Group, K. Hagiwara et al., Phys. Rev. D 66, 010001 (2002), http://pdg.lbl.gov/
- For three neutrino flavors, we use the standard parametrization of the unitary leptonic mixing matrix [133], where and Here and are the leptonic mixing angles and is the leptonic CP violation phase.
- The mantle-core-mantle step-function approximation of the Earth matter density profile consists of three constant matter density layers (mantle, core, and mantle) with and
- We will use the standard parametrization of the leptonic mixing matrix [133].