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FLAVOR MIXING AND CP VIOLATION OF MASSIVE NEUTRINOS

ZHI-ZHONG XING

Institute of High Energy Physics, Chinese Academy of Sciences, PO Box 918 (4), Beijing 100039, China

https://doi.org/10.1142/S0217751X04016969Cited by:146 (Source: Crossref)

Abstract

We present an overview of recent progress in the phenomenological study of neutrino masses, lepton flavor mixing and CP violation. We concentrate on the model-independent properties of massive neutrinos, both in vacuum and in matter. Current experimental constraints on the neutrino mass spectrum and the lepton flavor mixing parameters are summarized. The Dirac- and Majorana-like phases of CP violation, which are associated respectively with the long-baseline neutrino oscillations and the neutrinoless double beta decay, are discussed in detail. The seesaw mechanism, the leptogenesis scenario and the strategies to construct lepton mass matrices are briefly described. The features of flavor mixing between one sterile neutrino and three active neutrinos are also explored.

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References

S. Weinberg, Phys. Rev. Lett. 19, 1264 (1967); A. Salam, in Elementary Particle Theory, ed. N. Svartholm (Almquist and Wiksells, Stockholm, 1969), p. 367; S. L. Glashow, J. Iliopoulos and L. Maiani, Phys. Rev. D2, 1285 (1970) . Google Scholar
Y. Fukuda et al., Phys. Lett. B436, 33 (1998); Phys. Rev. Lett. 81, 1562 (1998). For a review, see: C. K. Jung, C. McGrew, T. Kajita and T. Mann, Ann. Rev. Nucl. Part. Sci. 51, 451 (2001) . Google Scholar
SNO Collaboration (Q. R. Ahmad et al.), Phys. Rev. Lett. 89, 011301 (2002); Phys. Rev. Lett. 89, 011302 (2002) . Google Scholar
K. Eguchiet al., Phys. Rev. Lett. 90, 021802 (2003). Crossref, Web of Science, Google Scholar
M. H. Ahnet al., Phys. Rev. Lett. 90, 041801 (2003). Crossref, Web of Science, Google Scholar
K. Hagiwaraet al., Phys. Rev. D66, 010001 (2002). Google Scholar
CHOOZ Collaboration (M. Apollonio et al.), Phys. Lett. B420, 397 (1998); Palo Verde Collaboration (F. Boehm et al.), Phys. Rev. Lett. 84, 3764 (2000) . Google Scholar
LSND Collaboration (C. Athanassopoulos, et al.), Phys. Rev. Lett. 81, 1774 (1998); Phys. Rev. C58, 2489 (1998) . Google Scholar
E. Witten, Nucl. Phys. (Proc. Suppl.) B91, 3 (2001). ADS, Google Scholar
N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963); M. Kobayashi and T. Maskawa, Prog. Theor. Phys. 49, 652 (1973) . Google Scholar
E. Majorana, Nuovo Cimento 14, 171 (1937). Crossref, Web of Science, Google Scholar
H. Fritzsch and Z. Z. Xing, Prog. Part. Nucl. Phys. 45, 1 (2000). Crossref, Web of Science, ADS, Google Scholar
S. Weinberg, Phys. Rev. D5, 1962 (1972); A. Zee, Phys. Lett. B93, 389 (1980) . Google Scholar
H. Fritzsch, Phys. Lett. B70, 436 (1977); Phys. Lett. B73, 317 (1978); S. Weinberg, Transactions of the New York Academy of Sciences 38, 185 (1977); F. Wilczek and A. Zee, Phys. Lett. B70, 418 (1977) . Google Scholar
C. D. Froggatt and H. B. Nielsen, Nucl. Phys. B147, 277 (1979); H. Harari, H. Haut and J. Weyers, Phys. Lett. B78, 459 (1978) . Google Scholar
T. Yanagida, in Proc. Workshop on Unified Theory and the Baryon Number of the Universe, eds. O. Sawada and A. Sugamoto (KEK, 1979); M. Gell-Mann, P. Ramond and R. Slansky, in Supergravity, eds. F. van Nieuwenhuizen and D. Freedman (North-Holland, Amsterdam, 1979); R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett. 44, 912 (1980) . Google Scholar
K. R. Dienes, E. Dudas and T. Gherghetta, Nucl. Phys. B557, 25 (1999); N. Arkani-Hamed, S. Dimopoulos, G. Dvali and J. March-Russell, hep-ph/9811448; G. Dvali and A. Yu. Smirnov, Nucl. Phys. B563, 63 (1999) . Google Scholar
G. Altarelli and F. Feruglio, Phys. Rep. 320, 295 (1999); hep-ph/0206077; S. M. Barr and I. Dorsner, Nucl. Phys. B585, 79 (2000); S. F. King, hep-ph/0208266 . Google Scholar
R. N. Mohapatra, Lectures delivered at the NEUPAST school, Abdus Salam ICTP, Trieste, October 2002; hep-ph/0211252; Y. Grossman, Lectures given at the TASI summer school, University of Colorado, June 2002; hep-ph/0305245 . Google Scholar
A. Lukaset al., J. High Energy Phys. 0104, 010 (2001). Crossref, ADS, Google Scholar
H. Murayama, Int. J. Mod. Phys. A17, 3403 (2002); M. C. Gonzalez-Garcia and Y. Nir, Rev. Mod. Phys. 75, 345 (2003); G. G. Ross and L. Velasco-Sevilla, Nucl. Phys. B653, 3 (2003); W. Grimus, hep-ph/0307149 . Google Scholar
H. Fritzsch and P. Minkowski, Ann. Phys. 93, 193 (1975); H. Georgi, in Particles and Fields (AIP, New York, 1975) . Google Scholar
J. A. Casas and A. Ibarra, Nucl. Phys. B618, 171 (2002). ADS, Google Scholar
J. Ellis and M. Raidal, Nucl. Phys. B643, 229 (2002). ADS, Google Scholar
R. N. Mohapatra and P. B. Pal , Massive Neutrinos in Physics and Astrophysics , 2nd edn. ( World Scientific , Singapore , 1998 ) . Google Scholar
P. H. Frampton, S. L. Glashow and T. Yanagida, Phys. Lett. B548, 119 (2002). ADS, Google Scholar
Z. Maki, M. Nakagawa and S. Sakata, Prog. Theor. Phys. 28, 870 (1962). Crossref, Web of Science, ADS, Google Scholar
G. L. Fogliet al., Phys. Rev. D67, 093006 (2003). Google Scholar
B. T. Clevelandet al., Astrophys. J. 496, 505 (1998). Crossref, Web of Science, ADS, Google Scholar
GALLEX Collaboration (W. Hampel et al.), Phys. Lett. B447, 127 (1999); GNO Collaboration (M. Altmann et al.), Phys. Lett. B490, 16 (2000) . Google Scholar
J. N. Abdurashitovet al., J. Exp. Theor. Phys. 95, 181 (2002). Crossref, Web of Science, ADS, Google Scholar
J. N. Bahcall, M. H. Pinsonneault and S. Basu, Astrophys. J. 555, 990 (2001). Crossref, Web of Science, ADS, Google Scholar
L. Wolfenstein, Phys. Rev. D17, 2369 (1978); S. P. Mikheyev and A. Yu. Smirnov, Sov. J. Nucl. Phys. 42, 913 (1985). For a review, see: T. K. Kuo and J. Pantaleone, Rev. Mod. Phys. 61, 937 (1989) . Google Scholar
J. N. Bahcall, P. I. Krastev and A. Yu. Smirnov, J. High Energy Phys. 05, 015 (2001). ADS, Google Scholar
V. Barger and D. Marfatia, Phys. Lett. B555, 144 (2003); G. L. Fogli et al., Phys. Rev. D67 073002 (2003); M. Maltoni, T. Schwetz and J. W. F. Valle, Phys. Rev. D67, 093003 (2003); J. N. Bahcall, M. C. Gonzalez-Garcia and C. Pena-Garay, J. High Energy Phys. 0302, 009 (2003); P. C. de Holanda and A. Yu. Smirnov, JCAP 0302, 001 (2003) . Google Scholar
Z. Z. Xing, Phys. Rev. D65, 077302 (2002). Google Scholar
M. Aokiet al., Phys. Rev. D67, 093004 (2003). Google Scholar
KARMEN Collaboration (K. Eitel et al.), Nucl. Phys. (Proc. Suppl.) B77, 212 (1999); 87, 281 (2000) . Google Scholar
MiniBooNE Collaboration (R. Tayloe), talk given at Neutrino 2002, Munich, 2002 . Google Scholar
A. D. Dolgov, Phys. Rep. 370, 333 (2002). Crossref, Web of Science, ADS, Google Scholar
K. Kainulainen and K. A. Olive, hep-ph/0206163; G. G. Raffelt, astro-ph/0207220; S. F. King, hep-ph/0210089 . Google Scholar
H. Päs and T. J. Weiler, Phys. Rev. D63, 113015 (2001); H. Päs, hep-ph/0209018 . Google Scholar
S. M. Bilenkyet al., Phys. Rep. 379, 69 (2003). Crossref, Web of Science, ADS, Google Scholar
C. L. Bennett et al., astro-ph/0302207; D. N. Spergel et al., astro-ph/0302209 . Google Scholar
S. S. Gerstein and Y. B. Zeldovich, JETP Lett. 4, 120 (1966); R. Cowsik and J. McClelland, Phys. Rev. Lett. 29, 669 (1972) . Google Scholar
M. Colleset al., Mon. Not. R. Astron. Soc. 328, 1039 (2001). Crossref, Web of Science, Google Scholar
S. Hannestad, astro-ph/0303076 . Google Scholar
C. Giunti, Mod. Phys. Lett. A18, 1179 (2003); A. S. Joshipura and S. Mohanty, Phys. Rev. D67, 091302 (2003); K. Cheung, Phys. Lett. B562, 97 (2003); G. Bhattacharyya, H. Päs, L. Song and T. J. Weiler, Phys. Lett. B564, 175 (2003); O. Elgaroy and O. Lahav, JCAP 0304, 004 (2003); A. Pierce and H. Murayama, hep-ph/0302131 . Google Scholar
Z. Z. Xing, hep-ph/0303178; to appear in HEP&NP . Google Scholar
KATRIN Collaboration (A. Osipowicz et al.), hep-ex/0109033 . Google Scholar
O. Cremonesi, hep-ex/0210007; Talk given at the XXth International Conference on Neutrino Physics and Astrophysics, May 2002, Munich, Germany . Google Scholar
H. V. Klapdor-Kleingrothaus, Nucl. Phys. Proc. Suppl. 100, 309 (2001). Crossref, Web of Science, ADS, Google Scholar
C. E. Aalseth et al., Phys. Atom. Nucl. 63, 1268 (2000) [Yad. Fiz. 63, 1341 (2000)] . Google Scholar
H. V. Klapdor-Kleingrothauset al., Mod. Phys. Lett. A16, 2409 (2002). ADS, Google Scholar
F. Feruglio, A. Strumia and F. Vissani, Nucl. Phys. B637, 345 (2002); C. E. Aalseth et al., Mod. Phys. Lett. A17, 1475 (2002); Y. G. Zdesenko, F. A. Danevich and V. I. Tretyak, Phys. Lett. B546, 206 (2002) . Google Scholar
H. V. Klapdor-Kleingrothaus, hep-ph/0302237; hep-ph/0303217, and references therein . Google Scholar
L. Wolfenstein, in Proc. of Neutrino 84, p. 730; F. Vissani, J. High Energy Phys. 9906, 022 (1999); S. M. Bilenky, S. Pascoli and S. T. Petcov, Phys. Rev. D64, 053010 (2001); W. Rodejohann, Nucl. Phys. B597, 110 (2001); F. Feruglio, A. Strumia and F. Vissani, in Ref. 55; S. Pascoli, S. T. Petcov and L. Wolfenstein, Phys. Lett. B524, 319 (2002) . Google Scholar
Z. Z. Xing, hep-ph/0305195, to appear in Phys. Rev. D . Google Scholar
S. Pascoli and S. T. Petcov, Phys. Lett. B544, 239 (2002); S. Pascoli, S. T. Petcov and W. Rodejohann, Phys. Lett. B549, 177 (2002); F. R. Joaquim, hep-ph/0304276 . Google Scholar
P. H. Frampton, S. L. Glashow and D. Marfatia, Phys. Lett. B536, 79 (2002). ADS, Google Scholar
H. Fritzsch and Z. Z. Xing, Phys. Lett. B372, 265 (1996); Phys. Lett. B440, 313 (1998); Phys. Rev. D61, 073016 (2000) . Google Scholar
We thank W. L. Guo for a careful analysis of all twenty three-zero textures of the neutrino mass matrix. A similar conclusion has also been drawn in Ref. 60. . Google Scholar
Z. Z. Xing, Phys. Lett. B530, 159 (2002); Phys. Lett. B539, 85 (2002); W. L. Guo and Z. Z. Xing, Phys. Rev. D67, 053002 (2003) . Google Scholar
Z. Z. Xing, hep-ph/0307007 . Google Scholar
H. Fritzsch, Nucl. Phys. B155, 189 (1979). ADS, Google Scholar
Z. Z. Xing, Phys. Lett. B550, 178 (2002). ADS, Google Scholar
Z. Z. Xing and H. Zhang, hep-ph/0304234, to appear in Phys. Lett. B . Google Scholar
See, e.g. D. Du and Z. Z. Xing, Phys. Rev. D48, 2349 (1993); H. Fritzsch and Z. Z. Xing, Phys. Lett. B353, 114 (1995); Nucl. Phys. B556, 49 (1999); Phys. Lett. B506, 109 (2001); Phys. Lett. B555, 63 (2003); P. S. Gill and M. Gupta, Phys. Rev. D56, 3143 (1997); Phys. Rev. D57, 3971 (1998); G. C. Branco, D. Emmanuel-Costa and R. G. Felipe, Phys. Lett. B477, 147 (2000); R. Rosenfeld and J. L. Rosner, Phys. Lett. B516, 408 (2001); J. L. Chkareuli and C. D. Froggatt, Nucl. Phys. B626, 307 (2002); J. W. Mei and Z. Z. Xing, Phys. Rev. D67, 077301 (2003), and references therein . Google Scholar
For recent reviews with extensive references, see: S. Raby, hep-ph/9501349 (unpublished); M. C. Chen and K. T. Mahanthappa, hep-ph/0305088; G. Altarelli and F. Feruglio, hep-ph/0306265 . Google Scholar
See, e.g. H. Nishiura, K. Matsuda and T. Fukuyama, Phys. Rev. D60, 013006 (1999); J. L. Chkareuli and C. D. Froggatt, Phys. Lett. B450, 158 (1999); H. Fritzsch and Z. Z. Xing, in Ref.~12; K. Matsuda, T. Fukuyama and H. Nishiura, Phys. Rev. D61, 053001 (2000); W. Buchmüller and D. Wyler, Phys. Lett. B521, 291 (2001); Z. Z. Xing, Phys. Lett. B545, 352 (2002); hep-ph/0209066; M. Bando and M. Obara, hep-ph/0212242; Prog. Theor. Phys. 109, 995 (2003); D. Falcone, hep-ph/0303074 . Google Scholar
A. Kageyama, S. Kaneko, N. Shimoyama and M. Tanimoto, Phys. Lett. B538, 96 (2002); R. Barbieri, T. Hambye and A. Romanino, J. High Energy Phys. 0303, 017 (2003); M. Honda, S. Kaneko and M. Tanimoto, hep-ph/0303227 . Google Scholar
S. M. Bilenky, J. Hosek and S. T. Petcov, Phys. Lett. B94, 495 (1980); J. Schechter and J. W. F. Valle, Phys. Rev. D22, 2227 (1980) . Google Scholar
Z. Z. Xing, J. Phys. G. 28, B7 (2002). Crossref, Web of Science, Google Scholar
M. Fukugita and M. Tanimoto, Phys. Lett. B515, 30 (2001). ADS, Google Scholar
L. Maiani, in Proc. Int. Symp. on Lepton and Photon Interactions at High Energies (DESY, Hamburg, 1977), p. 867; L. L. Chau and W. Y. Keung, Phys. Rev. Lett. 53, 1802 (1984); H. Fritzsch, Phys. Rev. D32, 3058 (1985); H. Harari and M. Leurer, Phys. Lett. B181, 123 (1986) . Google Scholar
W. L. Guo and Z. Z. Xing, Phys. Rev. D67, 053002 (2003). Google Scholar
F. J. Botella and L. L. Chau, Phys. Lett. B168, 97 (1986). ADS, Google Scholar
H. Fritzsch and Z. Z. Xing, Phys. Lett. B413, 396 (1997); Phys. Rev. D57, 594 (1998) . Google Scholar
H. Fritzsch and Z. Z. Xing, Phys. Lett. B517, 363 (2001). ADS, Google Scholar
C. Jarlskog, Phys. Rev. Lett. 55, 1039 (1985); D. D. Wu, Phys. Rev. D33, 860 (1986) . Google Scholar
A. de Gouvea, B. Kayser and R. N. Mohapatra, Phys. Rev. D67, 053004 (2003). Google Scholar
N. Cabibbo, Phys. Lett. B72, 333 (1978). ADS, Google Scholar
See, e.g. M. Tanimoto, T. Watari and T. Yanagida, Phys. Lett. B461, 345 (1999); M. Tanimoto, Phys. Lett. B483, 417 (2000); Y. Koide and A. Ghosal, Phys. Lett. B488, 344 (2000); T. Miura, T. Shindou, E. Takasugi and M. Yoshimura, Phys. Rev. D63, 053006 (2001); Z. Z. Xing, Phys. Rev. D63, 057301 (2001); E. K. Akhmedov, G. C. Branco, F. R. Joaquim and J. I. Silva-Marcos, Phys. Lett. B498, 237 (2001); G. C. Branco and J. I. Silva-Marcos, Phys. Lett. B526, 104 (2002); J. Kubo, A. Mondragon, M. Mondragon and E. Rodriguez-Jauregui, Prog. Theor. Phys. 109, 795 (2003) . Google Scholar
V. Bargeret al., Phys. Lett. B437, 107 (1998). ADS, Google Scholar
F. Vissani, hep-ph/9708483 (unpublished). . Google Scholar
See, e.g. M. Jezabek and Y. Sumino, Phys. Lett. B440, 327 (1998); E. Ma, D. P. Roy and U. Sarkar, Phys. Lett. B444, 391 (1998); S. Davidson and S. F. King, Phys. Lett. B445, 191 (1998); Y. Nomura and T. Yanagida, Phys. Rev. D59, 017303 (1999); C. Jarlskog, M. Matsuda, S. Skadhauge and M. Tanimoto, Phys. Lett. B449, 240 (1999); C. H. Albright and S. M. Barr, Phys. Lett. 461, 218 (1999); S. K. Kang and C. S. Kim, Phys. Rev. D59, 091302 (1999); Y. L. Wu, Eur. Phys. J. C10, 491 (1999); Sci. China A43, 988 (2000); Q. Shafi and Z. Tavartkiladze, Phys. Lett. B482, 145 (2000); Phys. Lett. B487, 145 (2000); C. S. Kim and J. D. Kim, Phys. Rev. D61, 057302 (2000); Z. Z. Xing, Phys. Rev. D61, 057301 (2000); Phys. Rev. D64, 017304 (2001); Phys. Rev. D64, 093013 (2001); D. V. Ahluwalia, Mod. Phys. Lett. A16, 917 (2001); Y. Koide and A. Ghosal, Phys. Rev. D63, 037301 (2001); W. Grimus and L. Lavoura, J. High Energy Phys. 0107, 045 (2001); hep-ph/0305046; C. S. Lam, Phys. Lett. B507, 214 (2002); T. Kitabayashi and M. Yasue, Phys. Lett. B524, 308 (2002); Int. J. Mod. Phys. A17, 2519 (2002); K. S. Babu and S. M. Barr, Phys. Lett. B525, 289 (2002); S. Antusch, J. Kersten, M. Lindner and M. Ratz, Phys. Lett. B544, 1 (2002); C. Giunti and M. Tanimoto, Phys. Rev. D66, 113006 (2002); T. Ohlsson and G. Seidl, Nucl. Phys. B643, 247 (2002); M. C. Gonzalez-Garcia, hep-ph/0210359 . Google Scholar
L. Wolfenstein, Phys. Rev. D18, 958 (1978). ADS, Google Scholar
P. F. Harrison, D. H. Perkins and W. G. Scott, Phys. Lett. B530, 167 (2002); Z. Z. Xing, Phys. Lett. B533, 85 (2002); X. G. He and A. Zee, Phys. Lett. B560, 87 (2003); C. I. Low and R. R. Volkas, hep-ph/0305243; A. Zee, hep-ph/0307323 . Google Scholar
C. Giunti, hep-ph/0209103 . Google Scholar
R. Peccei, Lectures given at "Topical seminars on frontier of particle physics: Neutrinos and cosmology," August 2002, Beijing . Google Scholar
Z. Z. Xing, hep-ph/0211465; to appear in J. Phys. G . Google Scholar
For recent reviews with extensive references, see: J. A. Casas, J. R. Espinosa, A. Ibarra and I. Navarro, Nucl. Phys. B573, 652 (2000); P. H. Chankowski and S. Pokorski, Int. J. Mod. Phys. A17, 575 (2002); S. Antusch, J. Kersten, M. Lindner and M. Ratz, hep-ph/0305273 . Google Scholar
Z. Z. Xing, Phys. Rev. D63, 073012 (2001). Google Scholar
I. Mocioiu and R. Shrock, Phys. Rev. D62, 053017 (2000). Google Scholar
V. Barger, K. Whisnant, S. Pakvasa and R. J. N. Phillips, Phys. Rev. D22, 2718 (1980); H. W. Zaglauer and K. H. Schwarzer, Z. Phys. C40, 273 (1988) . Google Scholar
J. Pantaleone, Phys. Rev. D49, 2152 (1994); V. Barger, S. Geer, R. Raja and K. Whisnant, Phys. Rev. D62, 013004 (2000) . Google Scholar
Z. Z. Xing, Phys. Lett. B487, 327 (2000). Crossref, Web of Science, ADS, Google Scholar
Z. Z. Xing, Phys. Rev. D64, 033005 (2001); Fortsch. Phys. 50, 569 (2002) . Google Scholar
K. Kimura, A. Takamura and H. Yokomakura, Phys. Lett. B537, 86 (2002); Phys. Rev. D66, 073005 (2002) . Google Scholar
T. Ohlsson and H. Snellman, J. Math. Phys. 41, 2768 (2000); Phys. Lett. B474, 153 (2000); P. F. Harrison and W. G. Scott, Phys. Lett. B535, 229 (2002); P. F. Harrison, W. G. Scott and T. J. Weiler, Phys. Lett. B565, 159 (2003) . Google Scholar
Z. Z. Xing, Phys. Rev. D64, 073014 (2001). Google Scholar
S. Toshev, Mod. Phys. Lett. A6, 455 (1991). ADS, Google Scholar
M. Freund, Phys. Rev. D64, 053003 (2001). Google Scholar
A. Dziewonski, "Earth structure," in The Encyclopedia of Solid Earch Geophysics, ed. D. E. James (Van Nostrand Reinhold, New York, 1989), p. 331; I. Mocioiu and R. Shrock, in Ref. 94 . Google Scholar
L. Wolfenstein, Phys. Rev. Lett. 51, 1945 (1983). Crossref, Web of Science, Google Scholar
Modified versions of the Wolfenstein parametrization with higher accuracy can be found, e.g. in: A. J. Buras, M. E. Lautenbacher and G. Ostermaier, Phys. Rev. D50, 3433 (1994); Z. Z. Xing, Phys. Rev. D51, 3958 (1995); P. Paganini, F. Parodi, P. Roudeau and A. Stocchi, Physica Scripta 58, 556 (1998) . Google Scholar
Z. Z. Xing, Phys. Rev. D65, 113010 (2002). ADS, Google Scholar
Z. Z. Xing, Nucl. Phys. (Proc. Suppl.) B50}, 24 (1996); Nuovo Cimento A109, 115 (1996); J. Phys. G23, 717 (1997) . Google Scholar
P. Kaus and S. Meshkov, hep-ph/0211338 . Google Scholar
K. Sasaki, Z. Phys. C32, 149 (1986). ADS, Google Scholar
V. A. Naumov, Int. J. Mod. Phys. D1, 379 (1992). ADS, Google Scholar
P. F. Harrison and W. G. Scott, Phys. Lett. B476, 349 (2000). Crossref, Web of Science, ADS, Google Scholar
H. Fritzsch and Z. Z. Xing, Nucl. Phys. B556, 49 (1999). ADS, Google Scholar
H. S. Chen et al. , hep-ph/0104266, and references therein . Google Scholar
J. Sato, Nucl. Instrum. Methods A472, 434 (2000). ADS, Google Scholar
Y. Farzan and A. Yu. Smirnov, Phys. Rev. D65, 113001 (2002). ADS, Google Scholar
A. D. Sakharov, JETP Lett. 5, 24 (1967). Web of Science, ADS, Google Scholar
For a recent review with extensive references, see: M. Dine and A. Kusenko, hep-ph/0303065 (to appear in Rev. Mod. Phys.). . Google Scholar
M. Fukugita and T. Yanagida, Phys. Lett. B174, 45 (1986). ADS, Google Scholar
S. Davidson and A. Ibarra, Phys. Lett. B535, 25 (2002). ADS, Google Scholar
M. A. Luty, Phys. Rev. D45, 455 (1992); M. Flanz, E. A. Paschos and U. Sarkar, Phys. Lett. B345, 248 (1995); L. Covi, E. Roulet and F. Vissani, Phys. Lett. B384, 169 (1996); M. Flanz, E. A. Paschos, U. Sarkar and J. Wess, Phys. Lett. B389, 693 (1996); M. Plümacher, Z. Phys. C74, 549 (1997); A. Pilaftsis, Phys. Rev. D56, 5431 (1997); Int. J. Mod. Phys. A14, 1811 (1999); W. Buchmüller and M. Plümacher, Phys. Lett. B431, 354 (1998); M. Plümacher, Nucl. Phys. B530, 207 (1998); R. Barbieri, P. Creminelli, A. Strumia and N. Tetradis, Nucl. Phys. B575, 61 (2000); T. Hambye, Nucl. Phys. B633, 171 (2002); W. Buchmüller, P. Di Bari and M. Plümacher, Nucl. Phys. B643, 367 (2002) . Google Scholar
G. 't Hooft, Phys. Rev. Lett. 37, 8 (1976); V. A. Kuzmin, V. A. Rubakov and M. E. Shaposhnikov, Phys. Lett. B155, 36 (1985) . Google Scholar
J. A. Harvey and M. S. Turner, Phys. Rev. D42, 3344 (1990). See, also, S. Yu. Khlebnikov and M. E. Shaposhnikov, Nucl. Phys. B308, 169 (1988) . Google Scholar
E. W. Kolb and M. S. Turner, The Early Universe (Addison-Wesley, 1990); M. Plümacher, Ph.D. Thesis, hep-ph/9807557 . Google Scholar
E. W. Kolb and M. S. Turner, in Ref. 124; H. B. Nielsen and Y. Takanishi, Phys. Lett. B507, 241 (2001); M. Hirsch and S. F. King, Phys. Rev. D64, 113005 (2001) . Google Scholar
J. Ellis, M. Raidal and T. Yanagida, Phys. Lett. B546, 228 (2002). ADS, Google Scholar
See, e.g. G. F. Giudice, M. Peloso, A. Riotto and I. Tkachev, J. High Energy Phys. 9908, 014 (1999); T. Asaka, K. Hamaguchi, M. Kawasaki and T. Yanagida, Phys. Lett. B464, 12 (1999); Phys. Rev. D61, 083512 (2000); J. Garcia-Bellido and E. Ruiz Morales, Phys. Lett. B536, 193 (2002); M. Fujii, K. Hamaguchi and T. Yanagida, Phys. Rev. D65, 115012 (2002) . Google Scholar
Z. Z. Xing, Phys. Lett. B545, 352 (2002). ADS, Google Scholar
W. Buchmüller and M. Plümacher, Phys. Lett. B389, 73 (1996). ADS, Google Scholar
Z. Z. Xing, Proceedings of ICHEP 2002, eds. S. Bentvelsenet al. (Elsevier Science, 2003) p. 43, hep-ph/0209066. Google Scholar
See, e.g. G. C. Branco, R. González Felipe, F. R. Joaquim and M. N. Rebelo, Nucl. Phys. B640, 202 (2002); S. Pascoli, S. T. Petcov and W. Rodejohann, hep-ph/0302054; W. Buchmüller, P. Di Bari and M. Plümacher, hep-ph/0302092 . Google Scholar
W. Buchmüller and D. Wyler, Phys. Lett. B521, 291 (2001); P. H. Frampton, S. L. Glashow and T. Yanagida, in Ref. 26; T. Endoh, S. Kaneko, S. K. Kang, T. Morozumi and M. Tanimoto, Phys. Rev. Lett. 89, 231601 (2002); S. F. King, Phys. Rev. D67, 113010 (2003) . Google Scholar
W. Buchmüller and M. Plümacher, Int. J. Mod. Phys. A15, 5047 (2000); W. Buchmüller, hep-ph/0204288; J. C. Pati, hep-ph/0209160 . Google Scholar
H. Murayama, hep-ph/0208005 . Google Scholar
H. Murayama and T. Yanagida, Phys. Lett. B520, 263 (2001); G. Barenboim, L. Borissov and J. Lykken, hep-ph/0212116 . Google Scholar
See, e.g. K. S. Babu and S. Pakavasa, hep-ph/0204236. . Google Scholar
A. Strumia, Phys. Lett. B539, 91 (2002); M. Maltoni, T. Schwetz, M. A. Tortola and J. W. F. Valle, Nucl. Phys. B643, 321 (2002); Nucl. Phys. Proc. Suppl. 114, 203 (2003); P. C. de Holanda and A. Yu. Smirnov, hep-ph/0307266 . Google Scholar
V. Bargeret al., Phys. Rev. D59, 113010 (1999). ADS, Google Scholar
H. Fritzsch and J. Plankl, Phys. Rev. D35, 1732 (1987); Z. Z. Xing and D. Du, Chin. Phys. Lett. 9, 9 (1992) . Google Scholar
W. L. Guo and Z. Z. Xing, Phys. Rev. D65, 073020 (2002). Google Scholar
W. L. Guo and Z. Z. Xing, Phys. Rev. D66, 097302 (2002). Google Scholar
S. M. Bilenky, C. Giunti and W. Grimus, Prog. Part. Nucl. Phys. 43, 1 (1999). Crossref, Web of Science, ADS, Google Scholar
A. Kalliomäki, J. Maalampi and M. Tanimoto, Phys. Lett. B469, 179 (1999). ADS, Google Scholar