Searching for the N-naturalness tower of neutrinos
Abstract
We present the first experimental search for the N-naturalness tower of neutrinos using a global analysis of publicly available neutrino data. As a potential solution to the hierarchy problem, the N-naturalness model employs a varying Higgs mass parameter among N dark sectors and encodes the required fine-tuning of the placement of the sectors in a parameter r. We report exclusion limits on the parameter space (r, N), for normal and inverted ordering and in case the neutrino is Majorana or Dirac. In the case of a Majorana neutrino, we can rule out N≤ 104 sectors with r≥ 0.1. This is particularly exciting as it shows that a gauge and gravitational unification around MGUT, which is a benchmark scenario of the N-naturalness framework with N=104 without fine-tuning, is ruled out by neutrino experiments.
Versions
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BibTeX
@misc{lonardi2026searching,
title = {{Searching for the $N$-naturalness tower of neutrinos}},
author = {Sofia Lonardi and Manuel Ettengruber and Philipp Eller},
howpublished = {arXiv},
year = {2026},
month = jul,
doi = {10.48550/arxiv.2607.14243},
eprint = {2607.14243},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2607.14243},
note = {CC BY 4.0},
}
RIS
TY - UNPB
TI - Searching for the N-naturalness tower of neutrinos
AU - Sofia Lonardi
AU - Manuel Ettengruber
AU - Philipp Eller
PY - 2026
DA - 2026/07/15
PB - arXiv
DO - 10.48550/arxiv.2607.14243
UR - https://arxiv.org/abs/2607.14243
AB - We present the first experimental search for the N-naturalness tower of neutrinos using a global analysis of publicly available neutrino data. As a potential solution to the hierarchy problem, the N-naturalness model employs a varying Higgs mass parameter among N dark sectors and encodes the required fine-tuning of the placement of the sectors in a parameter r. We report exclusion limits on the parameter space (r, N), for normal and inverted ordering and in case the neutrino is Majorana or Dirac. In the case of a Majorana neutrino, we can rule out N≤ 10^4 sectors with r≥ 0.1. This is particularly exciting as it shows that a gauge and gravitational unification around M_GUT, which is a benchmark scenario of the N-naturalness framework with N=10^4 without fine-tuning, is ruled out by neutrino experiments.
ER -