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Many experiments are currently looking for evidence of neutrino mass in the form of neutrino oscillations. Oscillation probabilities are non-linear functions of the neutrino mixing matrix elements, so most comparisons of data to theory are…

High Energy Physics - Phenomenology · Physics 2007-05-23 Doris Jeanne Wagner

The data supporting neutrino oscillations are reexamined empirically, ignoring the phase space of the usual theory. An absolutely minimum description can be constructed easily without assuming oscillations. An empirical fit to a simplified…

General Physics · Physics 2007-05-23 John Michael Williams

A neutrino-oscillation analysis is performed of the more finely binned Super-K atmospheric, MINOS, and CHOOZ data in order to examine the impact of neutrino hierarchy in this data set upon the value of $\theta_{13}$ and the deviation of…

Nuclear Theory · Physics 2011-06-21 J. Escamilla-Roa , D. C. Latimer , D. J. Ernst

Neutrino oscillation experiments will be entering the precision era in the next decade with the advent of high statistics experiments like DUNE, HK, and JUNO. Correctly estimating the confidence intervals from data for the oscillation…

High Energy Physics - Phenomenology · Physics 2024-10-15 Peter B. Denton , Stephen J. Parke

Anticipating future long-baseline neutrino experiments to search for neutrino oscillations in various oscillation channels, we have analyzed the atmospheric neutrino data in the framework of a model with mixing of three massive neutrino…

High Energy Physics - Phenomenology · Physics 2014-11-17 S. M. Bilenky , C. Giunti , C. W. Kim

We examine the reliability of the theoretical methods presently used for analysis and prediction of neutrino oscillation phenomena. Of particular interest are the limitations imposed by branch points when expansions in one of the small…

High Energy Physics - Phenomenology · Physics 2016-07-11 Mikkel B. Johnson , Ernest M. Henley , Leonard S. Kisslinger

In the presence of modeling errors, the mainstream Bayesian methods seldom give a realistic account of uncertainties as they commonly underestimate the inherent variability of parameters. This problem is not due to any misconception in the…

Applications · Statistics 2020-05-19 Omid Sedehi , Costas Papadimitriou , Lambros S. Katafygiotis

We analyze the neutrino mass matrix entries and their correlations in a probabilistic fashion, constructing probability distribution functions using the latest results from neutrino oscillation fits. Two cases are considered: the standard…

High Energy Physics - Phenomenology · Physics 2015-06-12 E. Bertuzzo , P. A. N. Machado , R. Zukanovich Funchal

It has been shown that neutrino masses can be determined under the particle ansatz. In this paper, we give the general formulas of neutrino masses related to the neutrino oscillation parameters which show that there is a mass hierarchy…

High Energy Physics - Phenomenology · Physics 2018-03-01 Wen-Jie Wu , Xiang Zhou

We further develop and extend a recent perturbative framework for neutrino oscillations in uniform matter density so that the resulting oscillation probabilities are accurate for the complete matter potential versus baseline divided by…

High Energy Physics - Phenomenology · Physics 2018-05-30 Peter B. Denton , Hisakazu Minakata , Stephen J. Parke

Neutrino oscillation parameters can be understood in a better way by building a more complete picture of neutrino interactions. This poses a series of important theoretical and experimental challenges because of the elusive nature of…

High Energy Physics - Phenomenology · Physics 2023-06-13 Q. Gani , M. Hameeda

Proposed medium-baseline reactor neutrino experiments offer unprecedented opportunities to probe, at the same time, the mass-mixing parameters which govern $\nu_e$ oscillations both at short wavelength (delta m^2 and theta_{12}) and at long…

High Energy Physics - Phenomenology · Physics 2014-01-15 F. Capozzi , E. Lisi , A. Marrone

The neutrino mass hierarchy can be determined, in principle, by measuring a phase in the disappearance oscillation probability in vacuum, without relying on the matter effect, using a single channel. This phase is not the same for the…

High Energy Physics - Phenomenology · Physics 2014-11-18 Hisakazu Minakata , Hiroshi Nunokawa , Stephen Parke , Renata Zukanovich Funchal

The corrections to neutrino mixing parameters in the presence of matter of constant density are calculated systematically as series expansions in terms of the mass hierarchy $\dm{21}/\dm{31}$. The parameter mapping obtained is then used to…

High Energy Physics - Phenomenology · Physics 2014-11-17 Martin Freund

This is revision of the S-Matrix theory of neutrino oscillations used for many years. We evaluate the transition probability of a $\mu$ to $e$ neutrino without an approximation used for many theoretical studies, and find important…

High Energy Physics - Phenomenology · Physics 2015-01-12 Leonard S. Kisslinger

Correlations obtained from neutrino oscillation data on mixing parameters may help to validate neutrino mixing schemes. In this context, we explore how correlations of neutrino oscillation parameters affect the $\rm{TM}_1$ and $\rm{TM}_2$…

High Energy Physics - Phenomenology · Physics 2024-03-22 Biswajit Karmakar , Szymon Zięba

We construct a neutrino mass matrix $M_{\nu}$ via a seesaw mechanism whith perturbed invariant under a cyclic permutation by introducing one parameter $\delta$ into the diagonal elements of $M_{\nu}$ with assumption that trace of the…

High Energy Physics - Phenomenology · Physics 2011-05-11 Asan Damanik

A substantial fraction of systematic uncertainties in neutrino oscillation experiments stem from the lack of precision in modeling the nuclear target in neutrino-nucleus interactions. Whilst this has driven significant progress in the…

High Energy Physics - Experiment · Physics 2025-01-15 J. Chakrani , S. Dolan , M. Buizza Avanzini , A. Ershova , L. Koch , K. McFarland , G. D. Megias , L. Munteanu , L. Pickering , K. Skwarczynski , V. Q. Nguyen , C. Wret

The complete description of neutrino oscillations require the wave packet treatment. For terrestrial experiments the contribution from the interaction of neutrino with the Earth matter would modify oscillation pattern, i.e., the dependence…

High Energy Physics - Phenomenology · Physics 2012-06-06 Nan Qin , Bo-Qiang Ma
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