Lightest-mass suppression and weaker Majorana cancellation in Froggatt--Nielsen textures
Abstract
The effective Majorana mass is the length of a sum of three complex electron-flavour contributions. A mass-generation model determines both their sizes and how they cancel. We compare direct effective coefficients with a three-right-handed-neutrino seesaw measure at fixed Froggatt--Nielsen charges and common lepton conditions. In the normal-ordering benchmark truncated-normal ensemble, seesaw generation lowers the lightest-mass median by a factor of 3.2 while raising the effective-mass median by 13\%. A comparison reweighted to a common lightest-mass distribution locates nearly all of the coherent mean-square increase in weaker destructive solar-pair interference. In a fixed-amplitude phase-exchange control, the response follows the conditional phase law. A second texture exposes the competing spectral effect: smaller amplitudes can outweigh weaker cancellation in the original mean square. The interference information also affects how a prediction can be used. Replacing induced phases by independent uniform phases at unchanged posterior masses and electron weights raises the benchmark direct median by 29\%. The matrix ensemble therefore predicts a joint arrangement of amplitudes and phases whose coherent information is lost when only masses and electron-flavour weights are retained.
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BibTeX
@misc{yu2026lightestmass,
title = {{Lightest-mass suppression and weaker Majorana cancellation in Froggatt--Nielsen textures}},
author = {Boliang Yu and Ruixin Zhou},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.01305},
eprint = {2611.01305},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.01305},
}
RIS
TY - UNPB
TI - Lightest-mass suppression and weaker Majorana cancellation in Froggatt--Nielsen textures
AU - Boliang Yu
AU - Ruixin Zhou
PY - 2026
DA - 2026/11/01
PB - arXiv
DO - 10.48550/arxiv.2611.01305
UR - https://arxiv.org/abs/2611.01305
AB - The effective Majorana mass is the length of a sum of three complex electron-flavour contributions. A mass-generation model determines both their sizes and how they cancel. We compare direct effective coefficients with a three-right-handed-neutrino seesaw measure at fixed Froggatt--Nielsen charges and common lepton conditions. In the normal-ordering benchmark truncated-normal ensemble, seesaw generation lowers the lightest-mass median by a factor of 3.2 while raising the effective-mass median by 13\%. A comparison reweighted to a common lightest-mass distribution locates nearly all of the coherent mean-square increase in weaker destructive solar-pair interference. In a fixed-amplitude phase-exchange control, the response follows the conditional phase law. A second texture exposes the competing spectral effect: smaller amplitudes can outweigh weaker cancellation in the original mean square. The interference information also affects how a prediction can be used. Replacing induced phases by independent uniform phases at unchanged posterior masses and electron weights raises the benchmark direct median by 29\%. The matrix ensemble therefore predicts a joint arrangement of amplitudes and phases whose coherent information is lost when only masses and electron-flavour weights are retained.
ER -