Unique Neutrino Mass Operator at any Mass Dimension

Abstract

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. The result is relevant to the search of new physics effects beyond neutrino mass that can arise at a relatively low energy scale.

6 pages, 1 figure; v2: modified/added a few sentences, more acknowledgement, added a ref to [7] and a new [8], typos fixed, proofread version for Phys Lett B

References in corpus (6)

• Pathways to Naturally Small Neutrino Masses
• New Mechanism for Neutrino Mass Generation and Triply Charged Higgs Bosons at the LHC
• Neutrino masses from higher than d=5 effective operators
• Novel TeV-scale seesaw mechanism with Dirac mediators
• Multiple seesaw mechanisms of neutrino masses at the TeV scale
• Neutrino Mass Operators of Dimension up to Nine in Two-Higgs-doublet Model

Cited by in corpus (24)

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