• [1]

    Y. Chikashige, R. N. Mohapatra, and R. D. Peccei, Phys. Lett. B, 98:265(1981)

  • [2]

    J. Schechter and J. W. F. Valle, Phys. Rev. D, 25:774(1982)

  • [3]

    E. K. Akhmedov, Z. G. Berezhiani, R. N. Mohapatra, and G. Senjanovic, Phys. Lett. B, 299:90(1993) doi:10.1016/0370-2693(93)90887-N[hep-ph/9209285]

  • [4]

    V. Berezinsky and J. W. F. Valle, Phys. Lett. B, 318:360(1993) doi:10.1016/0370-2693(93)90140-D[hep-ph/9309214].

  • [5]

    Z. G. Berezhiani, A. Y. Smirnov and J. W. F. Valle, Phys. Lett. B, 291:99(1992) doi:10.1016/0370-2693(92)90126-O[hep-ph/9207209]

  • [6]

    Z. G. Berezhiani and A. Rossi, Phys. Lett. B, 336:439(1994) doi:10.1016/0370-2693(94)90556-8[hep-ph/9407265]

  • [7]

    M. Kachelriess, R. Tomas, and J. W. F. Valle, Phys. Rev. D, 62:023004(2000) doi:10.1103/PhysRevD.62.023004[hep-ph/0001039]

  • [8]

    M. Lattanzi and J. W. F. Valle, Phys. Rev. Lett., 99:121301(2007) doi:10.1103/PhysRevLett.99.121301[arXiv:0705.2406[astro-ph]]

  • [9]

    M. Lattanzi, S. Riemer-Srensen, M. Tortola, and J. W. F. Valle, Nucl. Instrum. Meth. A, 742:154(2014) doi:10.1016/j.nima.2013.09.009

  • [10]

    S. M. Boucenna, S. Morisi, Q. Shafi, and J. W. F. Valle, Phys. Rev. D, 90(5):055023(2014) doi:10.1103/PhysRevD.90.055023[arXiv:1404.3198[hep-ph]]

  • [11]

    N. Arkani-Hamed, L. Motl, A. Nicolis, and C. Vafa, JHEP, 0706:060(2007) doi:10.1088/1126-6708/2007/06/060[hep-th/0601001]

  • [12]

    L. Susskind, hep-th/9501106

  • [13]

    M. Baldo-Ceolin et al, Z. Phys. C, 63:409(1994)

  • [14]

    D. G. Phillips, Ⅱ et al, Phys. Rept., 612:1(2016) doi:10.1016/j.physrep.2015.11.001[arXiv:1410.1100[hep-ex]]

  • [15]

    Z. Berezhiani, Eur. Phys. J. C, 76(12):705(2016) doi:10.1140/epjc/s10052-016-4564-0[arXiv:1507.05478[hep-ph]]

  • [16]

    D. A. Kirzhnitz, JETP Lett., 15:529(1972)

  • [17]

    D. A. Kirzhnitz and A. D. Linde, Phys. Lett. B, 42:47(1972)

  • [18]

    S. Weinberg, Phys. Rev. D, 9:3357(1974)

  • [19]

    L. Dolan and R. Jackiw, Phys. Rev. D, 9:3320(1974)

  • [20]

    R. N. Mohapatra and G. Senjanovic, Phys. Rev. Lett., 42:1651(1979); Phys. Rev. D, 20:3390(1979)

  • [21]

    P. Langacker and S.-Y. Pi, Phys. Rev. Lett., 45:1(1980)

  • [22]

    D. E. Morrissey and M. J. Ramsey-Musolf, New J. Phys., 14:125003(2012) doi:10.1088/1367-2630/14/12/125003[arXiv:1206.2942[hep-ph]]

  • [23]

    A. Addazi and M. Bianchi, JHEP, 1412:089(2014) doi:10.1007/JHEP12(2014)089[arXiv:1407.2897[hep-ph]]

  • [24]

    A. Addazi, JHEP, 1504:153(2015) doi:10.1007/JHEP04(2015)153[arXiv:1501.04660[hep-ph]]

  • [25]

    A. Addazi and M. Bianchi, JHEP, 1507:144(2015) doi:10.1007/JHEP07(2015)144[arXiv:1502.01531[hep-ph]]

  • [26]

    A. Addazi and M. Bianchi, JHEP, 1506:012(2015) doi:10.1007/JHEP06(2015)012[arXiv:1502.08041[hep-ph]]

  • [27]

    A. Addazi, Mod. Phys. Lett. A, 31(17):1650109(2016) doi:10.1142/S0217732316501091[arXiv:1504.06799[hep-ph]]

  • [28]

    A. Addazi, Electron. J. Theor. Phys., 13(35):39(2016)[arXiv:1505.00625[hep-ph]]

  • [29]

    A. Addazi, Int. J. Mod. Phys. A, 31(16):1650084(2016) doi:10.1142/S0217751X16500846[arXiv:1505.02080[hep-ph]]

  • [30]

    A. Addazi, Phys. Lett. B, 757:462(2016) doi:10.1016/j.physletb.2016.04.018[arXiv:1506.06351[hep-ph]]

  • [31]

    A. Addazi, M. Bianchi, and G. Ricciardi, JHEP, 1602:035(2016) doi:10.1007/JHEP02(2016)035[arXiv:1510.00243[hep-ph]]

  • [32]

    A. Addazi, J. W. F. Valle, and C. A. Vaquera-Araujo, Phys. Lett. B, 759:471(2016) doi:10.1016/j.physletb.2016.06.015[arXiv:1604.02117[hep-ph]]

  • [33]

    A. Addazi and M. Khlopov, Mod. Phys. Lett. A, 31(19):1650111(2016) doi:10.1142/S021773231650111X[arXiv:1604.07622[hep-ph]]

  • [34]

    A. Addazi, Mod. Phys. Lett. A, 32(02):1750014(2016) doi:10.1142/S0217732317500146[arXiv:1607.01203[hep-th]]

  • [35]

    A. Addazi, X. W. Kang, and M. Y. Khlopov, arXiv:1705.03622[hep-ph], to appear in Chinese Phys. C

  • [36]

    L. E. Ibanez and A. M. Uranga, JHEP, 0703:052(2007) doi:10.1088/1126-6708/2007/03/052[hep-th/0609213]

  • [37]

    R. Blumenhagen, M. Cvetic, and T. Weigand, Nucl. Phys. B, 771:113(2007) doi:10.1016/j.nuclphysb.2007.02.016[hep-th/0609191]

  • [38]

    L. E. Ibanez, A. N. Schellekens, and A. M. Uranga, JHEP, 0706:011(2007) doi:10.1088/1126-6708/2007/06/011[arXiv:0704.1079[hep-th]]

  • [39]

    R. Blumenhagen, M. Cvetic, S. Kachru, and T. Weigand, Ann. Rev. Nucl. Part. Sci., 59:269(2009) doi:10.1146/annurev.nucl.010909.083113[arXiv:0902.3251[hep-th]]

  • [40]

    R. Blumenhagen, M. Cvetic, R. Richter, and T. Weigand, JHEP, 0710:098(2007) doi:10.1088/1126-6708/2007/10/098[arXiv:0708.0403[hep-th]]

  • [41]

    R. Blumenhagen, M. Cvetic, D. Lust, R. Richter, and T. Weigand, Phys. Rev. Lett., 100:061602(2008) doi:10.1103/PhysRevLett.100.061602[arXiv:0707.1871[hep-th]]

  • [42]

    M. Cvetic, J. Halverson, P. Langacker, and R. Richter, JHEP, 1010:094(2010) doi:10.1007/JHEP10(2010)094[arXiv:1001.3148[hep-th]]

  • [43]

    H. Abe, T. Kobayashi, Y. Tatsuta, and S. Uemura, Phys. Rev. D, 92(2):026001(2015) doi:10.1103/PhysRevD.92.026001[arXiv:1502.03582[hep-ph]]

  • [44]

    M. Cvetic, J. Halverson, and R. Richter, JHEP, 0912:063(2009) doi:10.1088/1126-6708/2009/12/063[arXiv:0905.3379[hep-th]]

  • [45]

    T. A. Wagner, S. Schlamminger, J. H. Gundlach, and E. G. Adelberger, Class. Quant. Grav., 29:184002(2012)[arXiv:1207.2442[gr-qc]]

  • [46]

    M. I. Buchoff and M. Wagman, Phys. Rev. D, 93(1):016005(2016) doi:10.1103/PhysRevD.93.016005[arXiv:1506.00647[hep-ph]]

  • [47]

    E. D. Davis and A. R. Young, Phys. Rev. D, 95(3):036004(2017) doi:10.1103/PhysRevD.95.036004[arXiv:1611.04205[nucl-ex]]

  • [48]

    D. McKeen and A. E. Nelson, Phys. Rev. D, 94(7):076002(2016) doi:10.1103/PhysRevD.94.076002[arXiv:1512.05359[hep-ph]]

  • [49]

    E. J. Copeland, M. Sami, and S. Tsujikawa, Int. J. Mod. Phys. D, 15:1753(2006) doi:10.1142/S021827180600942X[hep-th/0603057]

  • [50]

    J. Frieman, M. Turner, and D. Huterer, Ann. Rev. Astron. Astrophys., 46:385(2008) doi:10.1146/annurev.astro.46.060407.145243[arXiv:0803.0982[astro-ph]]

  • [51]

    Y. F. Cai, E. N. Saridakis, M. R. Setare, and J. Q. Xia, Phys. Rept., 493:1(2010) doi:10.1016/j.physrep.2010.04.001[arXiv:0909.2776[hep-th]]