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Given the best-fit results of six neutrino oscillation parameters, we plot the Dirac and Majorana unitarity triangles (UTs) of the 3\times 3 lepton flavor mixing matrix to show their real shapes for the first time. The connections of the…

High Energy Physics - Phenomenology · Physics 2016-06-22 Zhi-zhong Xing , Jing-yu Zhu

The unitarity of the lepton mixing matrix is a critical assumption underlying the standard neutrino-mixing paradigm. However, many models seeking to explain the as-yet-unknown origin of neutrino masses predict deviations from unitarity in…

High Energy Physics - Phenomenology · Physics 2020-12-16 Sebastian A. R. Ellis , Kevin J. Kelly , Shirley Weishi Li

We address the question of deviations from $3\times 3$ unitarity of the leptonic mixing matrix showing that, contrary to conventional wisdom, one may have significant deviations from unitarity in the framework of type I seesaw mechanism. In…

High Energy Physics - Phenomenology · Physics 2017-11-17 Nuno Rosa Agostinho , G. C. Branco , Pedro M. F. Pereira , M. N. Rebelo , J. I. Silva-Marcos

We propose a renormalizable $T'$ flavor model based on the $SU(3)_C\times SU(3)_L\times U(1)_X\times U(1)_{\mathcal{L}}$ gauge symmetry, consistent with the observed pattern of lepton masses and mixings. The small masses of the light active…

High Energy Physics - Phenomenology · Physics 2018-12-19 V. V. Vien , H. N. Long , A. E. Cárcamo Hernández

We investigate the possibility that the first column of the lepton mixing matrix U is given by u_1 = (2,-1,-1)^T/sqrt{6}. In a purely group-theoretical approach, based on residual symmetries in the charged-lepton and neutrino sectors and on…

High Energy Physics - Phenomenology · Physics 2015-06-12 Walter Grimus

Current neutrino oscillation data indicate that the 3x3 lepton flavor mixing matrix V is likely to be symmetric about its V_{e3}-V_{\mu 2}-V_{\tau 1} axis. This off-diagonal symmetry corresponds to three pairs of {\it congruent} unitarity…

High Energy Physics - Phenomenology · Physics 2009-11-07 Zhi-zhong Xing

In the canonical seesaw framework flavor mixing and CP violation in weak charged-current interactions of light and heavy Majorana neutrinos are correlated with each other and described respectively by the $3\times 3$ matrices $U$ and $R$.…

High Energy Physics - Phenomenology · Physics 2022-06-22 Zhi-zhong Xing

Unitarity of the $3\times 3$ lepton flavor mixing matrix $V$ is unavoidably violated in a seesaw mechanism if its new heavy degrees of freedom are slightly mixed with the active neutrino flavors. We propose to use the atomic transition…

High Energy Physics - Phenomenology · Physics 2020-03-18 Guo-yuan Huang , Noboru Sasao , Zhi-zhong Xing , Motohiko Yoshimura

We update the analysis of the viability of the lepton mixing patterns originating from $A_4$, $S_4$ and $A_5$ discrete flavour symmetries and leading to predictions for the solar neutrino mixing angle, $\theta_{12}$. We perform a…

High Energy Physics - Phenomenology · Physics 2026-03-19 S. T. Petcov , A. V. Titov

In the framework of canonical seesaw model, we present a simple but viable scenario to explicitly break an $S^{}_{3{\rm L}} \times S^{}_{3{\rm R}}$ flavor symmetry in the leptonic sector. It turns out that the leptonic flavor mixing matrix…

High Energy Physics - Phenomenology · Physics 2017-10-31 Zong-guo Si , Xing-hua Yang , Shun Zhou

The non-unitarity effects in the leptonic flavor mixing are regarded as one of the generic features of the type-I seesaw model. Therefore, we explore these effects in the TeV-scale type-I seesaw model, and show that there exist non-trivial…

High Energy Physics - Phenomenology · Physics 2014-11-21 Tommy Ohlsson , Christoph Popa , He Zhang

Lepton flavour violation has been proposed as a significant test of supersymmetric unification. Here we show that such signals are also a generic feature of supersymmetric string unified models in which there is no simple unified gauge…

High Energy Physics - Phenomenology · Physics 2016-08-25 S. F. King , M. Oliveira

The Daya Bay Collaboration has recently reported its first \bar{\nu}_e \to \bar{\nu}_e oscillation result which points to \theta_{13} \simeq 8.8^\circ \pm 0.8^\circ (best-fit \pm 1\sigma range) or \theta_{13} \neq 0^\circ at the 5.2\sigma…

High Energy Physics - Phenomenology · Physics 2015-06-04 Zhi-zhong Xing

There are six leptonic unitarity triangles (LUTs) defined by six orthogonality conditions of the three-family lepton flavor mixing matrix in the complex plane. In the framework of the standard model or the minimal supersymmetric standard…

High Energy Physics - Phenomenology · Physics 2019-02-13 Jing-yu Zhu

Neutrino Physics is a mature branch of science with all the three neutrino mixing angles and two mass squared differences determined with high precision. Inspite of several experimental verifications of neutrino oscillations and precise…

High Energy Physics - Phenomenology · Physics 2018-06-28 Gayatri Ghosh , Kalpana Bora

Based on a universal seesaw mass matrix model with three scalars \phi_i, and by assuming an S_3 flavor symmetry for the Yukawa interactions, the lepton masses and mixings are investigated systematically. In order to understand the observed…

High Energy Physics - Phenomenology · Physics 2008-11-26 Yoshio Koide

We present an updated and improved global fit analysis of current flavor and electroweak precision observables to derive bounds on unitarity deviations of the leptonic mixing matrix and on the mixing of heavy neutrinos with the active…

We find that the lepton flavor mixing matrix $U$ should possess a partial $\mu$-$\tau$ permutation symmetry $|U^{}_{\mu 1}| = |U^{}_{\tau 1}|$, and the latter predicts a novel correlation between the Dirac CP-violating phase $\delta$ and…

High Energy Physics - Phenomenology · Physics 2014-09-01 Zhi-zhong Xing , Shun Zhou

The gauge interactions of any supersymmetric extension of the standard model involve new flavor mixing matrices. The assumptions involved in the construction of minimal supersymmetric models, both $SU(3) \times SU(2) \times U(1)$ and grand…

High Energy Physics - Phenomenology · Physics 2009-10-28 Nima Arkani-Hamed , Hsin-Chia Cheng , L. J. Hall

The unprecedented precision now being achieved in the measurement of the Pontecorvo--Maki--Nakagawa--Sakata (PMNS) lepton mixing matrix opens a new window onto the underlying structure of the neutrino mass matrix and the possibly associated…

High Energy Physics - Phenomenology · Physics 2026-04-02 Alessio Giarnetti , Simone Marciano , Davide Meloni
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