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The formal seesaw mechanism of Majorana neutrinos with unbroken gauge symmetry

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arxiv 2301.10461 v2 pith:ZN6OIRRK submitted 2023-01-25 hep-ph

classification hep-ph
keywords seesawmajorananeutrinosassociatedexactgaugeheavymechanism
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We reformulate the canonical seesaw mechanism in the case that the electroweak gauge symmetry is unbroken, and show that it can "formally" work and allow us to derive an exact seesaw formula for the light and heavy Majorana neutrinos. We elucidate the reason why there is a mismatch between the mass eigenstates of heavy Majorana neutrinos associated with thermal leptogenesis and those associated with the seesaw framework, and establish the exact and explicit relations between the "original" and "derivational" seesaw parameters by using an Euler-like parametrization of the $6\times 6$ active-sterile flavor mixing matrix.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Wigner-like Parametrization of Canonical Seesaw Models

    hep-ph 2025-02 conditional novelty 5.0 of 10

    A Wigner/CS decomposition of the 6x6 seesaw mixing matrix is developed, showing that the light-heavy hierarchy is carried by three tiny rotation angles and all remaining model freedom by four unitary matrices.

  2. Emergent large flavor mixing from canonical and inverse seesaws?

    hep-ph 2025-02 conditional novelty 3.0 of 10

    Large neutrino mixing is not fixed by the seesaw mechanism's mass eigenvalues, so it must arise from additional flavor structure, and the inverse seesaw needs a fine-tuned cancellation.

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