摘要We calculate the neutrino mass induced at one loop in the cascade seesaw mechanism. The ratio between the two neutrino masses, which are respectively generated from an operator of mass dimension (3+4n) occurring at one loop and an operator of dimension (5+4n) at tree level, is also given. Detailed studies show that a relatively low new physics scale could accommodate the tiny neutrino mass of desired order without demanding small couplings. We also find that the ratio will reach order one when the new physics scale is higher than several TeV and n is small. In this case, the contribution to neutrino mass from higher order quantum effects becomes important and cannot be ignored.
Abstract：We calculate the neutrino mass induced at one loop in the cascade seesaw mechanism. The ratio between the two neutrino masses, which are respectively generated from an operator of mass dimension (3+4n) occurring at one loop and an operator of dimension (5+4n) at tree level, is also given. Detailed studies show that a relatively low new physics scale could accommodate the tiny neutrino mass of desired order without demanding small couplings. We also find that the ratio will reach order one when the new physics scale is higher than several TeV and n is small. In this case, the contribution to neutrino mass from higher order quantum effects becomes important and cannot be ignored.
NING Guo-Zhu**;WU Yuan-Bin***
. Neutrino Mass from a Higher-Dimensional Operator[J]. 中国物理快报, 2011, 28(6): 61402-061402.
NING Guo-Zhu**, WU Yuan-Bin***
. Neutrino Mass from a Higher-Dimensional Operator. Chin. Phys. Lett., 2011, 28(6): 61402-061402.
[1] Gell-Mann M, Ramond P, Slansky R ed Freedman D and Nieuwenhuizen P van 1979 Supergravity (Amsterdam: North-Holland) p 315
Yanagida T, in: Sawada O and Sugamoto A 1979 Proceedings of the Workshop on Unified Theory and Baryon Number in the Universe (Tokyo: KEK)
Mohapatra R N, Senjanovic G 1980 Phys. Rev. Lett. 44 912
[2] Konetschny W and Kummer W 1977 Phys. Lett. B 70 433
Cheng T P and Li L F 1980 Phys. Rev. D 22 2860
Schechter J and Valle J W F 1980 Phys. Rev. D 22 2227
[3] Foot R, Lew H, He X G and Joshi G C 1989 Z. Phys. C 44 441
[4] Liao Y 2011 Phys. Lett. B 694 346
The mass operators are no more unique with two Higgs doublets; for an explicit analysis, see: Liao Y 2011 Phys. Lett. B 698 292
[5] Weinberg S 1979 Phys. Rev. Lett. 43 1566
[6] Ma E 1998 Phys. Rev. Lett. 81 1171
[7] Babu K S and Leung C N 2001 Nucl. Phys. B 619 667
Picek I and Radovcic B 2010 Phys. Lett. B 687 338
Ma E 2002 Phys. Rev. D 66 037301
Grimus W, Lavoura L and Radovcic B 2009 Phys. Lett. B 674 117
[8] Babu K S, Nandi S and Tavartkiladze Z 2009 Phys. Rev. D 80 071702
Liao Y, Ning G Z and Ren L 2010 Phys. Rev. D 82 113003
[9] Liao Y arXiv:1011.3633 [hep-ph]
[10] Xing Z Z and Zhou S 2009 Phys. Lett. B 679 249
Mohapatra R N and Valle J W F 1986 Phys. Rev. D 34 1642
Gavela M B, Hambye T, Hernandez D and Hernandez P 2009 J. High Energy Phys. 0909 038
[11] Zee A 1980 Phys. Lett. B 93 389 [1980 Erratum-ibid. B 95 461 ]
[12] Zee A 1986 Nucl. Phys. B 264 99
Babu K S 1988 Phys. Lett. B 203 132
Aoki M, Kanemura S, Shindou T and Yagyu K 2010 J. High Energy Phys. 07 084 Erratum-ibid. 11 049]
Babu K S and Julio J 2010 Nucl. Phys. B 841 130
[13] Krauss L M, Nasri S and Trodden M 2003 Phys. Rev. D 67 085002
Cheung K and Seto O 2004 Phys. Rev. D 69 113009
Aoki M, Kanemura S and Seto O 2009 Phys. Rev. Lett. 102 051805
Aoki M, Kanemura S and Seto O 2009 Phys. Rev. D 80 033007
[14] Ma E 2006 Phys. Rev. D 73 077301
Perez P F and Wise M B 2009 Phys. Rev. D 80 053006
[15] Kanemura S and Ota T 2010 Phys. Lett. B 694 233
[16] Bonnet F, Hernandez D, Ota T and Winter W 2009 J. High Energy Phys. 0910 076
[17] Fogli G L et al 2008 Phys. Rev. D 78 033010
2011, Vol. 28 
