Unfolding the low-energy reactor neutrino flux from CEνNS data with a finite Dirac sum
Abstract
We present a novel method to analyze coherent elastic neutrino--nucleus scattering (CEνNS) data to extract the reactor antineutrino spectrum below the inverse beta decay threshold of 1.8 MeV, where it remains unmeasured. Adapting halo-independent analysis techniques developed for direct dark matter detection, we show how to obtain a best-fit and a pointwise confidence band for the integrated neutrino flux, without assuming a parametric form or smoothness prior for the spectrum. In our approach, which follows from convex geometry arguments, the differential neutrino rate is written as a linear combination of Dirac delta functions -- a finite Dirac sum (FDS) -- with a maximum number of terms determined by the number of data points. We apply our "FDS method" to mock CEνNS data for a low-threshold Ge detector and compare it with Tikhonov-regularized unfolding.
Related
- Measurement of reactor neutrino oscillation with the first JUNO data
- High significance measurement of reactor coherent elastic neutrino-nucleus scattering on germanium by CONUS+
- Lepto-hadronic modeling of blazars associated with well-reconstructed high-energy neutrino events
- Measuring the high-energy neutrino sky using the deep-valley neutrino observatory TAMBO
- Quasi-steady flavor configuration of multi-energy neutrino ensembles
BibTeX
@misc{chen2026unfolding,
title = {{Unfolding the low-energy reactor neutrino flux from CE$ν$NS data with a finite Dirac sum}},
author = {Muping Chen and Graciela Gelmini and Danny Marfatia and Koichiro Yasuda},
howpublished = {arXiv},
year = {2026},
month = oct,
doi = {10.48550/arxiv.2608.16107},
eprint = {2608.16107},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2608.16107},
}
RIS
TY - UNPB
TI - Unfolding the low-energy reactor neutrino flux from CEνNS data with a finite Dirac sum
AU - Muping Chen
AU - Graciela Gelmini
AU - Danny Marfatia
AU - Koichiro Yasuda
PY - 2026
DA - 2026/10/20
PB - arXiv
DO - 10.48550/arxiv.2608.16107
UR - https://arxiv.org/abs/2608.16107
AB - We present a novel method to analyze coherent elastic neutrino--nucleus scattering (CEνNS) data to extract the reactor antineutrino spectrum below the inverse beta decay threshold of 1.8 MeV, where it remains unmeasured. Adapting halo-independent analysis techniques developed for direct dark matter detection, we show how to obtain a best-fit and a pointwise confidence band for the integrated neutrino flux, without assuming a parametric form or smoothness prior for the spectrum. In our approach, which follows from convex geometry arguments, the differential neutrino rate is written as a linear combination of Dirac delta functions -- a finite Dirac sum (FDS) -- with a maximum number of terms determined by the number of data points. We apply our "FDS method" to mock CEνNS data for a low-threshold Ge detector and compare it with Tikhonov-regularized unfolding.
ER -