Reply to "Comment on `Unified neutrino mixing and approximate $μ-τ$ reflection symmetry'[arXiv:2603.00885]''

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Main Authors: Hyodo, Yuta, Kitabayashi, Teruyuki
Format: Preprint
Published: 2026
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_version_ 1866918430633885696
author Hyodo, Yuta
Kitabayashi, Teruyuki
author_facet Hyodo, Yuta
Kitabayashi, Teruyuki
contents Huang and Li [arXiv:2603.00885] have raised the following two points regarding our previous work [arXiv:2502.18029]:(1) The real-value conditions associated with $μ$-$τ$ reflection symmetry were overlooked. (2) Inverted Ordering (IO) remains viable when the latest experimental data are taken into account. As they have pointed out, we overlooked an important real-value condition. However, with regard to point (2), we believe that there may be a misunderstanding. In our original study, we excluded IO based on the constraint on the sum of neutrino masses, $\sum m_ν$. In contrast, they argue that IO remains viable when considering the effective neutrino mass, $|M_{ee}|$. While IO may indeed remain allowed in light of the latest $|M_{ee}|$ data, it is still in tension with the experimental bounds on $\sum m_ν$ under approximate $μ-τ$ symmetry within the discussed model parameter space.
format Preprint
id arxiv_https___arxiv_org_abs_2604_05270
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Reply to "Comment on `Unified neutrino mixing and approximate $μ-τ$ reflection symmetry'[arXiv:2603.00885]''
Hyodo, Yuta
Kitabayashi, Teruyuki
High Energy Physics - Phenomenology
Huang and Li [arXiv:2603.00885] have raised the following two points regarding our previous work [arXiv:2502.18029]:(1) The real-value conditions associated with $μ$-$τ$ reflection symmetry were overlooked. (2) Inverted Ordering (IO) remains viable when the latest experimental data are taken into account. As they have pointed out, we overlooked an important real-value condition. However, with regard to point (2), we believe that there may be a misunderstanding. In our original study, we excluded IO based on the constraint on the sum of neutrino masses, $\sum m_ν$. In contrast, they argue that IO remains viable when considering the effective neutrino mass, $|M_{ee}|$. While IO may indeed remain allowed in light of the latest $|M_{ee}|$ data, it is still in tension with the experimental bounds on $\sum m_ν$ under approximate $μ-τ$ symmetry within the discussed model parameter space.
title Reply to "Comment on `Unified neutrino mixing and approximate $μ-τ$ reflection symmetry'[arXiv:2603.00885]''
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2604.05270