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Recently a new method for determining the neutrino mass hierarchy by comparing the effective values of the atmospheric \Delta m^2 measured in the electron neutrino disappearance channel, \Delta m^2(ee), with the one measured in the muon…

High Energy Physics - Phenomenology · Physics 2008-11-26 H. Minakata , H. Nunokawa , S. J. Parke , R. Zukanovich Funchal

We propose a new parameterization to measure the neutrino mass hierarchy, namely $\Delta=(m_3-m_1)/(m_1+m_3)$ which is dimensionless and varies in the range $[-1,1]$. Taking into account the results of neutrino oscillation experiments,…

Cosmology and Nongalactic Astrophysics · Physics 2016-11-17 Lixin Xu , Qing-Guo Huang

We report on measurements of neutrino oscillation using data from the T2K long-baseline neutrino experiment collected between 2010 and 2013. In an analysis of muon neutrino disappearance alone, we find the following estimates and 68%…

High Energy Physics - Experiment · Physics 2015-05-06 T2K Collaboration , K. Abe , J. Adam , H. Aihara , T. Akiri , C. Andreopoulos , S. Aoki , A. Ariga , S. Assylbekov , D. Autiero , M. Barbi , G. J. Barker , G. Barr , P. Bartet-Friburg , M. Bass , M. Batkiewicz , F. Bay , V. Berardi , B. E. Berger , S. Berkman , S. Bhadra , F. d. M. Blaszczyk , A. Blondel , S. Bolognesi , S. Bordoni , S. B. Boyd , D. Brailsford , A. Bravar , C. Bronner , N. Buchanan , R. G. Calland , J. Caravaca Rodríguez , S. L. Cartwright , R. Castillo , M. G. Catanesi , A. Cervera , D. Cherdack , N. Chikuma , G. Christodoulou , A. Clifton , J. Coleman , S. J. Coleman , G. Collazuol , K. Connolly , L. Cremonesi , A. Dabrowska , I. Danko , R. Das , S. Davis , P. de Perio , G. De Rosa , T. Dealtry , S. R. Dennis , C. Densham , D. Dewhurst , F. Di Lodovico , S. Di Luise , S. Dolan , O. Drapier , T. Duboyski , K. Duffy , J. Dumarchez , S. Dytman , M. Dziewiecki , S. Emery-Schrenk , A. Ereditato , L. Escudero , T. Feusels , A. J. Finch , G. A. Fiorentini , M. Friend , Y. Fujii , Y. Fukuda , A. P. Furmanski , V. Galymov , A. Garcia , S. Giffin , C. Giganti , K. Gilje , D. Goeldi , T. Golan , M. Gonin , N. Grant , D. Gudin , D. R. Hadley , L. Haegel , A. Haesler , M. D. Haigh , P. Hamilton , D. Hansen , T. Hara , M. Hartz , T. Hasegawa , N. C. Hastings , T. Hayashino , Y. Hayato , C. Hearty , R. L. Helmer , M. Hierholzer , J. Hignight , A. Hillairet , A. Himmel , T. Hiraki , S. Hirota , J. Holeczek , S. Horikawa , F. Hosomi , K. Huang , A. K. Ichikawa , K. Ieki , M. Ieva , M. Ikeda , J. Imber , J. Insler , T. J. Irvine , T. Ishida , T. Ishii , E. Iwai , K. Iwamoto , K. Iyogi , A. Izmaylov , A. Jacob , B. Jamieson , M. Jiang , S. Johnson , J. H. Jo , P. Jonsson , C. K. Jung , M. Kabirnezhad , A. C. Kaboth , T. Kajita , H. Kakuno , J. Kameda , Y. Kanazawa , D. Karlen , I. Karpikov , T. Katori , E. Kearns , M. Khabibullin , A. Khotjantsev , D. Kielczewska , T. Kikawa , A. Kilinski , J. Kim , S. King , J. Kisiel , P. Kitching , T. Kobayashi , L. Koch , T. Koga , A. Kolaceke , A. Konaka , L. L. Kormos , A. Korzenev , Y. Koshio , W. Kropp , H. Kubo , Y. Kudenko , R. Kurjata , T. Kutter , J. Lagoda , I. Lamont , E. Larkin , M. Laveder , M. Lawe , M. Lazos , T. Lindner , C. Lister , R. P. Litchfield , A. Longhin , J. P. Lopez , L. Ludovici , L. Magaletti , K. Mahn , M. Malek , S. Manly , A. D. Marino , J. Marteau , J. F. Martin , P. Martins , S. Martynenko , T. Maruyama , V. Matveev , K. Mavrokoridis , E. Mazzucato , M. McCarthy , N. McCauley , K. S. McFarland , C. McGrew , A. Mefodiev , C. Metelko , M. Mezzetto , P. Mijakowski , C. A. Miller , A. Minamino , O. Mineev , A. Missert , M. Miura , S. Moriyama , Th. A. Mueller , A. Murakami , M. Murdoch , S. Murphy , J. Myslik , T. Nakadaira , M. Nakahata , K. G. Nakamura , K. Nakamura , S. Nakayama , T. Nakaya , K. Nakayoshi , C. Nantais , C. Nielsen , M. Nirkko , K. Nishikawa , Y. Nishimura , J. Nowak , H. M. O'Keeffe , R. Ohta , K. Okumura , T. Okusawa , W. Oryszczak , S. M. Oser , T. Ovsyannikova , R. A. Owen , Y. Oyama , V. Palladino , J. L. Palomino , V. Paolone , D. Payne , O. Perevozchikov , J. D. Perkin , Y. Petrov , L. Pickard , E. S. Pinzon Guerra , C. Pistillo , P. Plonski , E. Poplawska , B. Popov , M. Posiadala-Zezula , J. -M. Poutissou , R. Poutissou , P. Przewlocki , B. Quilain , E. Radicioni , P. N. Ratoff , M. Ravonel , M. A. M. Rayner , A. Redij , M. Reeves , E. Reinherz-Aronis , C. Riccio , P. A. Rodrigues , P. Rojas , E. Rondio , S. Roth , A. Rubbia , D. Ruterbories , A. Rychter , R. Sacco , K. Sakashita , F. Sánchez , F. Sato , E. Scantamburlo , K. Scholberg , S. Schoppmann , J. Schwehr , M. Scott , Y. Seiya , T. Sekiguchi , H. Sekiya , D. Sgalaberna , R. Shah , F. Shaker , D. Shaw , M. Shiozawa , S. Short , Y. Shustrov , P. Sinclair , B. Smith , M. Smy , J. T. Sobczyk , H. Sobel , M. Sorel , L. Southwell , P. Stamoulis , J. Steinmann , B. Still , Y. Suda , A. Suzuki , K. Suzuki , S. Y. Suzuki , Y. Suzuki , R. Tacik , M. Tada , S. Takahashi , A. Takeda , Y. Takeuchi , H. K. Tanaka , H. A. Tanaka , M. M. Tanaka , D. Terhorst , R. Terri , L. F. Thompson , A. Thorley , S. Tobayama , W. Toki , T. Tomura , Y. Totsuka , C. Touramanis , T. Tsukamoto , M. Tzanov , Y. Uchida , A. Vacheret , M. Vagins , G. Vasseur , T. Wachala , K. Wakamatsu , C. W. Walter , D. Wark , W. Warzycha , M. O. Wascko , A. Weber , R. Wendell , R. J. Wilkes , M. J. Wilking , C. Wilkinson , Z. Williamson , J. R. Wilson , R. J. Wilson , T. Wongjirad , Y. Yamada , K. Yamamoto , C. Yanagisawa , T. Yano , S. Yen , N. Yershov , M. Yokoyama , K. Yoshida , T. Yuan , M. Yu , A. Zalewska , J. Zalipska , L. Zambelli , K. Zaremba , M. Ziembicki , E. D. Zimmerman , M. Zito , J. Żmuda

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

We construct a Standard Model (SM) extension with $T^\prime\times Z_{10} \times Z_2$ symmetry for generating the expected neutrino mass matrix with the relation $(M_\nu)_{13}=(M_\nu)_{31}=-\frac{1}{2}(M_\nu)_{22}$ via the contributions of…

High Energy Physics - Phenomenology · Physics 2025-10-27 V. V. Vien , T. Phong Nguyen , T. D. Tham

One of the outstanding issues in neutrino physics is the experimental determination of the neutrino mass hierarchy: Is the order of the neutrino masses ``normal'' - m_1^2<m_2^2<m_3^2 - or is it inverted - m_3^2<m_1^2<m_2^2, with m_2^2-m_1^2…

High Energy Physics - Phenomenology · Physics 2007-05-23 Andre de Gouvea , James Jenkins

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 examine a phenomenon recently predicted by numerical simulations of supernova neutrino flavor evolution: the swapping of supernova $\nu_e$ and $\nu_{\mu,\tau}$ energy spectra below (above) energy $\EC$ for the normal (inverted) neutrino…

Astrophysics · Physics 2008-11-26 Huaiyu Duan , George M. Fuller , J. Carlson , Yong-Zhong Qian

It is generally believed that neutrino mass hierarchy can be determined at a long baseline experiment, often using accelerator neutrino beams. Reactor neutrino experiments at an intermediate baseline have the capability to distinguish…

High Energy Physics - Experiment · Physics 2012-10-29 Liang Zhan , Yifang Wang , Jun Cao , Liangjian Wen

At present, it is still unknown whether the correct mass ordering of the neutrino mass eigenstates is either $m_1$, $m_2$, $m_3$ (Normal Hierarchy, NH), or $m_3$, $m_1$, $m_2$ (Inverted Hierarchy, IH). The new analysis method proposed by…

High Energy Physics - Phenomenology · Physics 2018-04-03 Sara Leardini

Averaged neutrino masses defined by $\la m_\nu\ra_{ab} \equiv\left| \sum_{j=1}^{3}U_{aj}U_{bj}m_j\right|$ ($a,b=e,\mu,\tau$) are reanalyzed using up-to-date observed MNS parameters and neutrino masses by the neutrino oscillation experiments…

High Energy Physics - Phenomenology · Physics 2015-10-22 Takeshi Fukuyama , Hiroyuki Nishiura

Considering the mass splitting between three active neutrinos, we represent the new constraints on the sum of neutrino mass $\sum m_\nu$ by updating the anisotropic analysis of Baryon Acoustic Oscillation (BAO) scale in the CMASS and LOWZ…

Cosmology and Nongalactic Astrophysics · Physics 2016-09-21 Qing-Guo Huang , Ke Wang , Sai Wang

We construct a model that allows us to determine the three neutrino masses directly from the experimental mass squared differences, $\Delta_{\rm atm}$ and $\Delta_{\rm sol}$, together with the assumption that $\Lambda = \surd (1/6) = \surd…

High Energy Physics - Phenomenology · Physics 2007-05-23 Peter Kaus , Sydney Meshkov

We build a model to describe neutrinos based on strict hierarchy, incorporating as much as possible, the latest known data, for $\Delta_{sol}$ and $\Delta_{atm}$, and for the mixing angles determined from neutrino oscillation experiments,…

High Energy Physics - Phenomenology · Physics 2009-11-07 Peter Kaus , Sydney Meshkov

We show that by combining high precision measurements of the atmospheric delta m^2 in both the electron and muon neutrino (or anti-neutrino) disappearance channels one can determine the neutrino mass hierarchy. The required precision is a…

High Energy Physics - Phenomenology · Physics 2008-11-26 Hiroshi Nunokawa , Stephen Parke , Renata Zukanovich Funchal

A very simple empirical neutrino mass formula is found, implying the mass proportion $m_1 : m_2 : m_3 = 1 : 4 : 24(1-\beta^2)$. For the value $\beta = (5-1)(5-3)/5^2 = 8/25$ the formula predicts precisely $\Delta m^2_{21} \sim 8.0\times…

High Energy Physics - Phenomenology · Physics 2007-05-23 Wojciech Krolikowski

The possibility to determine the type of neutrino mass hierarchy by studying atmospheric neutrino oscillations with a detector capable to distinguish between neutrino and antineutrino events, such as magnetized iron calorimeters, is…

High Energy Physics - Phenomenology · Physics 2009-11-11 S. T. Petcov , T. Schwetz

We construct a model that allows us to determine the three neutrino masses and the mass matrix directly from the experimental mass squared differences delta atm and delta sol, using the assumptions of rational hierarchy (m1/m2 = m2/m3) and…

High Energy Physics - Phenomenology · Physics 2009-11-10 Peter Kaus , Sydney Meshkov

The only experimentally observed phenomenon that lies outside the standard model of the electroweak interaction is neutrino oscillations. A way to try to unify the extensive neutrino oscillation data is to add a phenomenological mass term…

Nuclear Theory · Physics 2017-08-23 D. J. Ernst , B. K. Cogswell , H. R. Burroughs , J. Escamilla-Roa , D. C. Latimer

Taking the neutrino oscillation data into consideration, a dimensionless parameter $\Delta = (m_3-m_1)/(m_3+m_1)$ is adopted to parameterize the three neutrino mass eigenstates and the normal (positive $\Delta$) or inverted (negative…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-05 En-Kun Li , Hongchao Zhang , Minghui Du , Zhi-Huan Zhou , Lixin Xu
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