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2010

Unique Neutrino Mass Operator at any Mass Dimension

Liao, Yi

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When the standard model is viewed as a low energy effective theory, the neutrinos can obtain mass from higher dimensional operators.

It has been known for long that such an operator first appears at mass dimension five and that it is unique.
Here we show that the effective neutrino mass operator at every higher dimension is unique.
This general claim is established using Young tableau, and illustrated by exhausting all potentially different operators at dimension seven.

Unique Neutrino Mass Operator at any Mass Dimension · Around

Built on

S. Weinberg, Phys. Rev. Lett. 43
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Earlier work this paper cites.
M. Gell-Mann, P. Ramond, R. Slansky, in: D. Freedman, P. van Nieuwenhuizen (Eds.), Supergravity, North-Holland, Amsterdam, 1979, p.315; T. Yanagida, in: O. Sawada, A. Sugamoto (Eds.), Proceedings of the Workshop on Unified Theory and Baryon Number in the Universe, KEK, Japan, 1979; R.N. Mohapatra, G. Senjanovic, Phys. Rev. Lett. 44
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Earlier work this paper cites.
W. Konetschny and W. Kummer, Phys. Lett. B 70
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Earlier work this paper cites.

Similar

A. Zee, Phys. Lett. B 93
1988
Cited alongside, same era.
R. Foot, H. Lew, X. G. He and G. C. Joshi, Z. Phys. C 44
1989
Cited alongside, same era.
Y. Liao, Neutrino mass operators of dimension up to nine in two-Higgs-doublet model, to appear
Cited in the paper.

Then

E. Ma, Phys. Rev. Lett. 81
1998
Later among the works it cites.
For recent discusions on models that induce neutrino mass by higher dimensional operators, see, e.g.: K. S. Babu, S. Nandi and Z. Tavartkiladze, Phys. Rev. D 80
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2010
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