APS : Survey of neutrino flavor predictions and the neutrinoless double beta decay funnel

Denton, Peter B.; Gehrlein, Julia

doi:10.1103/PhysRevD.109.055028

Article
Report number	arXiv:2308.09737 ; CERN-TH-2023-160 ; CETUP-2023-006
Title	Survey of neutrino flavor predictions and the neutrinoless double beta decay funnel
Author(s)	Denton, Peter B. (Brookhaven) ; Gehrlein, Julia (Colorado State U., Fort Collins ; CERN ; Brookhaven)
Publication	2024-03-01
Imprint	2023-08-18
Number of pages	23
In:	Phys. Rev. D 109 (2024) 055028
DOI	10.1103/PhysRevD.109.055028 (publication)
Subject category	hep-ph ; Particle Physics - Phenomenology
Abstract	The neutrinoless double beta decay experimental effort continues to make tremendous progress with hopes of covering the inverted neutrino mass hierarchy in coming years and pushing from the quasi-degenerate hierarchy into the normal hierarchy. As neutrino oscillation data is starting to suggest that the mass ordering may be normal, we may well be faced with staring down the funnel of death: a region of parameter space in the normal ordering where -- for a particular cancellation among the absolute neutrino mass scale, the Majorana phases, and the oscillation parameters -- the neutrinoless double beta decay rate may be vanishingly small. To answer the question of whether this region of parameter space is theoretically preferred, we survey five broad categories of flavor model structures which make various different predictions for parameters relevant for neutrinoless double beta decay to determine how likely it is that the rate may be in this funnel region. We find that a non-negligible fraction of predictions surveyed are at least partially in the funnel region. Our results can guide model builders and experimentalists alike in focusing their efforts on theoretically motivated regions of parameter space.
Copyright/License	preprint: (License: CC BY 4.0) publication: © 2024-2025 authors (License: CC BY 4.0), sponsored by SCOAP³

$The current knowledge on the absolute masses of the three neutrinos. The data included is the average of the three global fits for $\Delta m^2_{21}$, $|\Delta m^2_{31}|$, and the preference for the normal ordering \cite{Esteban:2020cvm,deSalas:2020pgw,Capozzi:2021fjo}, as well as the cosmological constraint on the sum of the neutrino masses that does not yet show evidence for neutrino masses \cite{DiValentino:2021hoh}. \textbf{Left}: The $\Delta\chi^2$ for parameter estimation, where we also note that the minimum $\chi^2$ for each state is $\sim1.75$ and thus is an acceptable fit to the data. \textbf{Right}: The 1, 2, 3 $\sigma$ preferred regions for each mass state, individually. The thicker regions are more preferred.$ $The current knowledge on the absolute masses of the three neutrinos. The data included is the average of the three global fits for $\Delta m^2_{21}$, $|\Delta m^2_{31}|$, and the preference for the normal ordering \cite{Esteban:2020cvm,deSalas:2020pgw,Capozzi:2021fjo}, as well as the cosmological constraint on the sum of the neutrino masses that does not yet show evidence for neutrino masses \cite{DiValentino:2021hoh}. \textbf{Left}: The $\Delta\chi^2$ for parameter estimation, where we also note that the minimum $\chi^2$ for each state is $\sim1.75$ and thus is an acceptable fit to the data. \textbf{Right}: The 1, 2, 3 $\sigma$ preferred regions for each mass state, individually. The thicker regions are more preferred.$ $The currently allowed region in the $|m_{\beta\beta}|-m_{\text{lightest}}$ plane for both mass hierarchies (the upper band corresponds to IO, the lower region to NO). The yellow region is the expected allowed region with perfect knowledge of the oscillation parameters and the blue region indicates the increased region allowed due to the expected future precision in the oscillation parameters from DUNE and JUNO. The red region indicates the increased region including the current uncertainties on the oscillation parameters. All contours are drawn at true $3\sigma$. The current upper limit on $|m_{\beta\beta}|$ from KamLAND-Zen is shown as horizontal gray bands where the darker and lighter gray regions assume different determinations of the nuclear matrix element \cite{KamLAND-Zen:2022tow}. The upper bound from cosmology on the absolute neutrino mass scale in NO \cite{DiValentino:2021hoh} is shown as a vertical gray band.$ Show more plots

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Rekord stworzony 2023-08-24, ostatnia modyfikacja 2024-05-25

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