A general formula by <i>LDL</i>T decomposition for the type-I seesaw mechanism
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- Masaki J S Yang
- Department of Physics, Saitama University, Shimo-okubo, Sakura-ku, Saitama, 338-8570, Japan
説明
<jats:title>Abstract</jats:title> <jats:p>By performing an approximate spectral decomposition on the inverse mass matrix of the right-handed neutrinos M−1, we obtain a basis-independent formula for the type-I seesaw mechanism. Mathematically, it is based on the generalized Cholesky (or LDLT) decomposition of the symmetric matrix M−1 = LDLT, with a diagonal matrix D and a lower unitriangular matrix L. Since the diagonalization of L can be inverted without solving cubic equations, the formula will be useful in investigating the general properties of the mechanism, such as flavor symmetries, generalized CP symmetries, and fine-tunings.</jats:p>
収録刊行物
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- Progress of Theoretical and Experimental Physics
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Progress of Theoretical and Experimental Physics 2022 (5), 2022-03-30
Oxford University Press (OUP)