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One of the major open questions in the neutrino sector is the issue of leptonic CP violation. Current global oscillation data shows a mild preference for a large, potentially maximal value for the Dirac CP phase in the neutrino mixing…

High Energy Physics - Phenomenology · Physics 2016-07-20 David V. Forero , Patrick Huber

The quark mixing (CKM) matrix is near-diagonal, whereas the lepton mixing (PMNS) matrix is not. We learn that both observations can generically be explained within an ultraviolet completion of the Standard Model with gravity. We find that…

High Energy Physics - Phenomenology · Physics 2025-07-25 Astrid Eichhorn , Zois Gyftopoulos , Aaron Held

We investigate the renormalization group evolution of masses and mixing angles of Majorana neutrinos under the `High Scale Mixing Unification' hypothesis. Assuming the unification of quark-lepton mixing angles at a high scale, we show that…

High Energy Physics - Phenomenology · Physics 2014-05-23 Gauhar Abbas , Saurabh Gupta , G. Rajasekaran , Rahul Srivastava

We discuss correlations between the $\nu$SM CP phase $\delta$ and the phases that originate from new physics which causes neutrino-sector unitarity violation (UV) at low energies. This study is motivated to provide one of the building…

High Energy Physics - Phenomenology · Physics 2022-06-15 Hisakazu Minakata

In view of the latest T2K and MINOS observations regarding the mixing angle s_{13}, we have explored the possibility of existence of CP violation in the leptonic sector. Using hints from the construction of the 'db' unitarity triangle in…

High Energy Physics - Phenomenology · Physics 2015-06-05 Gulsheen Ahuja

We analyse the interplay of generalised CP transformations and the non-Abelian discrete group $T^{\prime}$ and use the semi-direct product $G_f= T^{\prime}\rtimes H_{\text{CP}}$, as family symmetry acting in the lepton sector. The family…

High Energy Physics - Phenomenology · Physics 2014-05-20 Ivan Girardi , Aurora Meroni , S. T. Petcov , Martin Spinrath

The quark Cabibbo-Kobayashi-Maskawa mixing matrix is a fundamental part of the Standard Model accurately determined to fit world data analysis. In this paper the CKM matrix elements are high accurately rendered via simple compact…

General Physics · Physics 2009-10-12 E. M. Lipmanov

Model-independent consequences of applying a generalized hidden horizontal Z_2 symmetry to the neutrino mass matrix are explored. The Dirac CP phase delta_D can be expressed in terms of the three mixing angles as 4 c_a s_a c_s s_s s_x cos…

High Energy Physics - Phenomenology · Physics 2011-08-11 Shao-Feng Ge , Duane A. Dicus , Wayne W. Repko

Assuming the Majorana nature of massive neutrinos, we generalize the Friedberg-Lee neutrino mass model to include CP violation in the neutrino mass matrix $M^{}_\nu$. We show that a favorable neutrino mixing pattern (with $\theta^{}_{12}…

High Energy Physics - Phenomenology · Physics 2014-11-18 Zhi-zhong Xing , He Zhang , Shun Zhou

We analyse a possible connection between CP violations in the quark and lepton sectors, parametrised by the CKM and PMNS phases. If one assumes that CP breaking arises from complex Yukawa couplings, both in the quark and lepton sectors, the…

High Energy Physics - Phenomenology · Physics 2021-09-01 João M. Alves , Francisco J. Botella , Gustavo C. Branco , Fernando Cornet-Gomez , Miguel Nebot

Recent data from neutrino experiments gives intriguing hints about the mass ordering, the CP violating phase and non-maximal atmospheric mixing. There seems to be a (one sigma) preference for a normal ordered (NO) neutrino mass pattern,…

High Energy Physics - Phenomenology · Physics 2017-04-05 S. F. King

We discuss how CP violation originating in the right-handed neutrino sector can feed into the quark sector, in an otherwise CP invariant theory. The dominant effects are superweak, and we suggest that this may yield a natural resolution of…

High Energy Physics - Phenomenology · Physics 2009-10-30 B. Holdom

A model is considered in which the scale of the heavy singlet neutrinos is a few orders of magnitude below the grand unification scale and where right-handed vector bosons play still a negligible role. In a basis with diagonal up-quark and…

High Energy Physics - Phenomenology · Physics 2011-02-01 Berthold Stech

We study the implications of having a similarity between quark and lepton mixing in the Dirac sector of the Standard Model plus the right-handed neutrino. This enable us to describe all masses and mixings in the Dirac sector in terms of…

High Energy Physics - Phenomenology · Physics 2007-05-23 D. Falcone

Recent neutrino data have been favourable to a nearly bimaximal mixing, which suggests a simple form of the neutrino mass matrix. Stimulated by this matrix form, a possibility that all the mass matrices of quarks and leptons have the same…

High Energy Physics - Phenomenology · Physics 2009-11-07 Yoshio Koide , Hiroyuki Nishiura , Koichi Matsuda , Tatsuru Kikuchi , Takeshi Fukuyama

The complementarity between the quark and lepton mixing matrices is shown to provide a robust prediction for the neutrino mixing angle $\theta_{13}^{PMNS}$. We obtain this prediction by first showing that the matrix $V_M$, product of the…

High Energy Physics - Phenomenology · Physics 2007-05-23 Bhag C. Chauhan , Marco Picariello , Joao Pulido , Emilio Torrente-Lujan

Oscillations of the Dirac neutrinos of three generations in vacuum are considered with allowance made for the effect of the CP-violating leptonic phase (analogue of the quark CP phase) in the lepton mixing matrix. The general formulas for…

High Energy Physics - Phenomenology · Physics 2009-11-07 D. A. Ryzhikh , K. A. Ter-Martirosyan

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

We study the possibility of identifying the CP violating phases in the PMNS mixing matrix in the lepton sector and also that in the CKM mixing matrix in the quark sector with the phase responsible for the spontaneous CP violation in the…

High Energy Physics - Phenomenology · Physics 2011-03-21 Xiao-Gang He , Lu-Hsing Tsai

We present a formula for the Dirac CP phase $\delta = \arg ( U_{e1} U_{e2} U_{\mu 3} U_{\tau 3} / U_{e3} \det U_{\rm MNS} )$, directly derived from the lepton mixing matrix in an arbitrary basis of phases. In contrast to the numerically…

High Energy Physics - Phenomenology · Physics 2025-08-07 Masaki J. S. Yang