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Main Authors: Singh, Pratima, Singh, Jyotsna, Singh, R. B.
Format: Preprint
Published: 2026
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Online Access:https://arxiv.org/abs/2605.24469
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author Singh, Pratima
Singh, Jyotsna
Singh, R. B.
author_facet Singh, Pratima
Singh, Jyotsna
Singh, R. B.
contents Neutrinoless double-beta decay (\(0νββ\)) is a sensitive probe of lepton-number violation and the Majorana nature of neutrinos. In xenon-based experiments, the expected signal rate inside the region of interest (ROI) is extremely small, requiring sensitivity estimates based on Poisson statistics and a careful treatment of detector resolution, background fluctuations, and systematic uncertainties. In this work, we develop a statistical framework relating energy resolution, ROI width, background index, isotope exposure, and discovery sensitivity for \(^{136}\)Xe-based \(0νββ\) experiments. The formalism combines Poisson likelihood methods with realistic background modeling and includes reconstruction-related and final-state interaction (FSI) systematic effects through an effective ROI broadening approach. Using representative detector parameters for LZ, NEXT-100, KamLAND-Zen, and nEXO, we compare expected background counts, required discovery signal statistics, and half-life sensitivities at matched exposure. The corresponding sensitivities are translated into effective Majorana mass reach within both normal- and inverted-hierarchy neutrino mass ordering. The impact of uncertainties associated with the axial-vector coupling constant \(g_A\), nuclear matrix elements, and phase-space factors is also examined. Our results show that background suppression, ROI optimization, and control of detector-related systematics are essential for extending sensitivity toward the normal-ordering regime in future \(0νββ\) searches.
format Preprint
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publishDate 2026
record_format arxiv
spellingShingle Statistical Framework for Discovery Sensitivity and Majorana Mass Estimation in \(^{136}\)Xe Neutrinoless Double Beta Decay
Singh, Pratima
Singh, Jyotsna
Singh, R. B.
High Energy Physics - Phenomenology
Neutrinoless double-beta decay (\(0νββ\)) is a sensitive probe of lepton-number violation and the Majorana nature of neutrinos. In xenon-based experiments, the expected signal rate inside the region of interest (ROI) is extremely small, requiring sensitivity estimates based on Poisson statistics and a careful treatment of detector resolution, background fluctuations, and systematic uncertainties. In this work, we develop a statistical framework relating energy resolution, ROI width, background index, isotope exposure, and discovery sensitivity for \(^{136}\)Xe-based \(0νββ\) experiments. The formalism combines Poisson likelihood methods with realistic background modeling and includes reconstruction-related and final-state interaction (FSI) systematic effects through an effective ROI broadening approach. Using representative detector parameters for LZ, NEXT-100, KamLAND-Zen, and nEXO, we compare expected background counts, required discovery signal statistics, and half-life sensitivities at matched exposure. The corresponding sensitivities are translated into effective Majorana mass reach within both normal- and inverted-hierarchy neutrino mass ordering. The impact of uncertainties associated with the axial-vector coupling constant \(g_A\), nuclear matrix elements, and phase-space factors is also examined. Our results show that background suppression, ROI optimization, and control of detector-related systematics are essential for extending sensitivity toward the normal-ordering regime in future \(0νββ\) searches.
title Statistical Framework for Discovery Sensitivity and Majorana Mass Estimation in \(^{136}\)Xe Neutrinoless Double Beta Decay
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2605.24469