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- W3087349230 abstract "We calculate the rates of radiative $beta^- to alpha^- + gamma$ decays for $(alpha, beta) = (e, mu)$, $(e, tau)$ and $(mu, tau)$ by taking the {it unitary} gauge in the $(3+n)$ active-sterile neutrino mixing scheme, and make it clear that constraints on the unitarity of the $3times 3$ Pontecorvo-Maki-Nakagawa-Sakata (PMNS) matrix $U$ extracted from $beta^- to alpha^- + gamma$ decays in the {it minimal unitarity violation} scheme differ from those obtained in the canonical seesaw mechanism with $n$ heavy Majorana neutrinos by a factor $5/3$. In such a natural seesaw case we show that the rates of $beta^- to alpha^- + gamma$ can be used to cleanly and strongly constrain the effective apex of a unitarity polygon, and compare its geometry with the geometry of its three sub-triangles formed by two vectors $U^{}_{alpha i} U^*_{beta i}$ and $U^{}_{alpha j} U^*_{beta j}$ (for $i neq j$) in the complex plane. We find that the areas of such sub-triangles can be described in terms of the Jarlskog-like invariants of CP violation ${cal J}^{ij}_{alphabeta}$, and their small differences signify slight unitarity violation of the PMNS matrix $U$." @default.
- W3087349230 created "2020-09-25" @default.
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- W3087349230 date "2020-12-01" @default.
- W3087349230 modified "2023-10-10" @default.
- W3087349230 title "Radiative decays of charged leptons as constraints of unitarity polygons for active-sterile neutrino mixing and CP violation" @default.
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- W3087349230 doi "https://doi.org/10.1140/epjc/s10052-020-08697-y" @default.
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