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Comments on "Unified neutrino mixing and approximate μ-τ reflection symmetry" (Modern Physics Letters A 40 (2025) 26, 2550097 [arXiv:2502.18029 [hep-ph]])
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Resolving mass ordering is an important issue in the neutrino physics. In Ref. [1] the authors investigate the phenomenology of a unified neutrino mixing framework and reveal that the predicted sum of neutrino masses derived from an approximate [Formula: see text] reflection symmetric flavor neutrino mass matrix based on the unified neutrino mixing with an inverted mass ordering, is excluded from DESI2024 and Supernova Ia luminosity distance data. We note that in Ref. [1] an error is present in Eq.(20), i.e., the expression for [Formula: see text], a similar error also appears in Eq.(26) for [Formula: see text]. That is, the condition that [Formula: see text] and [Formula: see text] are real is omitted. We impose this condition and analyze its consequences. Using the newest data [2], it is obtained that the predicted sm derived from the approximate [Formula: see text] reflection symmetric neutrino mass matrices [Formula: see text] for both NO and IO are allowed. We note also that their conclusion is invalid, as it is based on outdated data.
Title: Comments on "Unified neutrino mixing and approximate μ-τ reflection symmetry" (Modern Physics Letters A 40 (2025) 26, 2550097 [arXiv:2502.18029 [hep-ph]])
Description:
Resolving mass ordering is an important issue in the neutrino physics.
In Ref.
[1] the authors investigate the phenomenology of a unified neutrino mixing framework and reveal that the predicted sum of neutrino masses derived from an approximate [Formula: see text] reflection symmetric flavor neutrino mass matrix based on the unified neutrino mixing with an inverted mass ordering, is excluded from DESI2024 and Supernova Ia luminosity distance data.
We note that in Ref.
[1] an error is present in Eq.
(20), i.
e.
, the expression for [Formula: see text], a similar error also appears in Eq.
(26) for [Formula: see text].
That is, the condition that [Formula: see text] and [Formula: see text] are real is omitted.
We impose this condition and analyze its consequences.
Using the newest data [2], it is obtained that the predicted sm derived from the approximate [Formula: see text] reflection symmetric neutrino mass matrices [Formula: see text] for both NO and IO are allowed.
We note also that their conclusion is invalid, as it is based on outdated data.
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