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The configuration of the three neutrino masses can take two forms, known as the normal and inverted hierarchies. We compute the Bayesian evidence associated with these two hierarchies. Previous studies found a mild preference for the normal…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-15 Fergus Simpson , Raul Jimenez , Carlos Pena-Garay , Licia Verde

The latest cosmological constraints on the sum of neutrino masses, in combination with the latest laboratory measurements on oscillations, provide ``decisive" Bayesian evidence for the normal neutrino mass hierarchy. We show that this…

High Energy Physics - Phenomenology · Physics 2022-09-14 Raul Jimenez , Carlos Pena-Garay , Kathleen Short , Fergus Simpson , Licia Verde

The extraction of the neutrino mass ordering is one of the major challenges in particle physics and cosmology, not only for its implications for a fundamental theory of mass generation in nature, but also for its decisive role in the scale…

Given the precision of current neutrino data, priors still impact noticeably the constraints on neutrino masses and their hierarchy. To avoid our understanding of neutrinos being driven by prior assumptions, we construct a prior that is…

Cosmology and Nongalactic Astrophysics · Physics 2018-05-02 Alan F. Heavens , Elena Sellentin

We present a Bayesian analysis of the combination of current neutrino oscillation, neutrinoless double beta decay and CMB observations. Our major goal is to carefully investigate the possibility to single out one neutrino mass ordering,…

High Energy Physics - Phenomenology · Physics 2018-03-21 S. Gariazzo , M. Archidiacono , P. F. de Salas , O. Mena , C. A. Ternes , M. Tórtola

In this paper, we have constrained the neutrino mass and mass hierarchy in the $\Lambda$CDM cosmology with the neutrino mass hierarchy parameter $\Delta$, which represents different mass orderings, by using the {\it Planck} 2015 + BAO + SN…

Cosmology and Nongalactic Astrophysics · Physics 2019-04-23 Wenxue Zhang , En-Kun li , Minghui Du , Yuhao Mu , Shouli Ning , Baorong Chang , Lixin Xu

We inspect recently updated neutrino oscillation data -- specifically coming from the Tokai to Kamioka and NuMI Off-axis $\nu_e$ Appearance experiments -- and how they are analyzed to determine whether the neutrino mass ordering is normal…

High Energy Physics - Phenomenology · Physics 2021-01-12 Kevin J. Kelly , Pedro A. N. Machado , Stephen J. Parke , Yuber F. Perez-Gonzalez , Renata Zukanovich Funchal

Recently Hall, Murayama and Weiner (Phys. Rev. Lett. 84 (2000) 2572, [hep-ph/9911341]) claimed that neutrino oscillation data are well accounted for by a neutrino mass matrix which appears to have random entries. Here this claim is disputed…

High Energy Physics - Phenomenology · Physics 2007-05-23 M. Hirsch

One of the not-yet determined properties of neutrinos is the ordering of their mass eigenstates. We combine the available data from neutrino oscillations, neutrinoless double beta decay and Cosmic Microwave Background observations to derive…

High Energy Physics - Phenomenology · Physics 2018-07-02 S. Gariazzo

The ordering of the neutrino masses is a crucial input for a deep understanding of flavor physics, and its determination may provide the key to establish the relationship among the lepton masses and mixings and their analogous properties in…

High Energy Physics - Phenomenology · Physics 2018-11-07 P. F. de Salas , S. Gariazzo , O. Mena , C. A. Ternes , M. Tórtola

Recent neutrino experiment results show a preference for the normal neutrino mass ordering. The global efforts to search for neutrinoless double beta decays undergo a broad gap with the approach to the prediction in the three-neutrino…

High Energy Physics - Phenomenology · Physics 2019-01-30 C. H. Jang , B. J. Kim , Y. J. Ko , K. Siyeon

We perform a global Bayesian analysis of currently available neutrino data, putting data from oscillation experiments, neutrinoless double beta decay ($0\nu\beta\beta$), and precision cosmology on an equal footing. We evaluate the discovery…

High Energy Physics - Phenomenology · Physics 2021-08-05 Allen Caldwell , Manuel Ettengruber , Alexander Merle , Oliver Schulz , Maximilian Totzauer

We investigate the stability of neutrino mass matrix predictions on important and currently unknown observables. Those are the octant of $\theta_{23}$, the sign of $\sin\delta$ and the neutrino mass ordering. Determining those unknowns is…

High Energy Physics - Phenomenology · Physics 2015-08-27 Werner Rodejohann , Xun-Jie Xu

Recently it has been proposed, in the context of experiments designed to resolve the neutrino mass hierarchy, to use the average posterior probability of one of the hypotheses as a measure of sensitivity of future experiments. This has led…

High Energy Physics - Experiment · Physics 2013-11-19 Ofer Vitells , Alex Read

Whether the neutrino mass spectrum is normal (m_1 < m_2 < m_3) or abnormal (m_3 < m_1 < m_2) remains an open question, but we show that the latter possibility looks quite unnatural when it is related to the lepton flavor mixing matrix U in…

High Energy Physics - Phenomenology · Physics 2013-09-10 Zhi-zhong Xing

Many neutrino mass models postulate the existence of at least two extra fermions in order to account for the measured solar and atmospheric mass splittings. In these models, however, the predicted hierarchy between the two mass splittings…

High Energy Physics - Phenomenology · Physics 2015-06-11 Dieter Hehn , Alejandro Ibarra

We demonstrate that, for every grand unified model based on a conventional type I seesaw mechanism leading to a normal light neutrino mass hierarchy, one can easily generate a corresponding model with an inverted hierarchy which yields the…

High Energy Physics - Phenomenology · Physics 2009-11-10 Carl H. Albright

One of the major open questions in particle physics is the issue of the neutrino mass ordering (NMO). The current data of the two long-baseline experiments NO$\nu$A and T2K, interpreted in the standard 3-flavor scenario, provide a…

High Energy Physics - Phenomenology · Physics 2020-03-25 Francesco Capozzi , Sabya Sachi Chatterjee , Antonio Palazzo

Using recent data on neutrino oscillations, we argue that a hierarchical solution for neutrino masses in a three-family context is possible, and that the masses of the tau and mu neutrinos are very nearly determined within that possibility.…

High Energy Physics - Phenomenology · Physics 2008-11-26 Paul M. Fishbane , Peter Kaus

Recent works combining neutrino oscillation and cosmological data to determine the neutrino hierarchy found a range of odds in favour of the normal hierarchy. These results arise from differing approaches to incorporating prior knowledge…

Cosmology and Nongalactic Astrophysics · Physics 2020-04-15 Constance Mahony , Boris Leistedt , Hiranya V. Peiris , Jonathan Braden , Benjamin Joachimi , Andreas Korn , Linda Cremonesi , Ryan Nichol
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