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Investigating the CKM matrix in different parametrization schemes, it is noticed that those schemes can be divided into a few groups where the sine values of the CP phase for each group are approximately equal. Using those relations,…

高能物理 - 唯象学 · 物理学 2016-03-10 Hong-Wei Ke , Song-Xue Zhao , Xue-Qian Li

Several approximate equalities among the matrix elements of CKM and PMNS imply that hidden symmetries may exist and be common for both quark and neutrino sectors. The CP phase of the CKM matrix ($\delta_{\rm CKM}$) is involved in these…

高能物理 - 唯象学 · 物理学 2017-02-21 Hong-Wei Ke , Jia-Hui Zhou , Xue-Qian Li

A parameter-free analytic expression for the PMNS matrix is derived which fits numerically all the measured matrix components at 99.7$\%$ confidence. Results are proven within the microscopic model and include a prediction of the leptonic…

高能物理 - 唯象学 · 物理学 2024-03-06 Bodo Lampe

Neutrino mixing is studied from a symmetry perspective, both bottom-up and top-down. In the bottom-up approach, we start from the tri-bimaximal mixing, or one of its three partial patterns, and construct a list of horizontal symmetry groups…

高能物理 - 唯象学 · 物理学 2008-11-26 C. S. Lam

We study the implications of generalized CP transformations acting on the mass matrices of charged leptons in a model-independent way. Generalized $e-\mu$, $e-\tau$ and $\mu-\tau$ symmetries are considered in detail. In all cases the…

高能物理 - 唯象学 · 物理学 2018-08-15 Peng Chen , Salvador Centelles Chuliá , Gui-Jun Ding , Rahul Srivastava , José W. F. Valle

The strategy of constraining the lepton flavor mixing from remnant CP symmetry is investigated in a rather general way. The neutrino mass matrix generally admits four remnant CP transformations which can be derived from the measured lepton…

高能物理 - 唯象学 · 物理学 2015-03-05 Peng Chen , Cai-Chang Li , Gui-Jun Ding

The universality hypothesis for quark and lepton mixing matrices (CKM and MNS) is further developed. This hypothesis explains why the CKM is almost diagonal whereas the MNS is almost maximally mixed. If this hypothesis is true, the Dirac CP…

高能物理 - 唯象学 · 物理学 2014-06-19 Takeshi Fukuyama , Hiroyuki Nishiura

The hierarchy amongst the CKM matrix elements, highlighted recently by Luo and Xing, has been rigorously revisited using the PDG parameterization incorporating unitarity constraints. Further, we have explored the evaluation of the CP…

高能物理 - 唯象学 · 物理学 2024-08-02 Gurjit Kaur , Gulsheen Ahuja , Dheeraj Shukla , Manmohan Gupta

It is shown that if, from the starting point of a universal rank-one mass matrix long favoured by phenomenologists, one adds the assumption that it rotates (changes its orientation in generation space) with changing scale, one can…

高能物理 - 唯象学 · 物理学 2015-06-05 Michael J. Baker , J. Bordes , H. M. Chan , S. T. Tsou

The recently observed lepton mixing angle $\theta_{13}$ of the MNS mixing matrix is well incorporated in a universal mixing hypothesis between quark and lepton sectors. This hypothesis asserts that, in the charged lepton diagonal base, all…

高能物理 - 唯象学 · 物理学 2013-11-26 Takeshi Fukuyama , Hiroyuki Nishiura

We perform a systematical analysis of the $A_4$ modular models with generalized CP for the masses and flavor mixing of quarks and leptons, and the most general form of the quark and lepton mass matrices is given. The CP invariance requires…

高能物理 - 唯象学 · 物理学 2021-06-02 Chang-Yuan Yao , Jun-Nan Lu , Gui-Jun Ding

An algebraic approach is used to derive symmetry relations for the parameterization of the three neutrino mixing matrix. The symmetry relations imply bounds on the mixing angles. Including a CP violating phase $\delta$, the mixing angles…

核理论 · 物理学 2007-05-23 D. C. Latimer , D. J. Ernst

We develop for the CKM and PMNS matrices a new representation with special properties. It is obtained by splitting each of these matrices into two rotations by the angle ${\sim}2\pi/3$ and a universal diagonal matrix with elements, which…

高能物理 - 唯象学 · 物理学 2024-01-31 Piotr Kielanowski , S. Rebeca Juárez Wysozka , Liliana Vázquez Mercado

CP violation in the lepton mass matrix will be probed with good precision in upcoming experiments. The amount of CP violation present in oscillations can be quantified in numerous ways and is typically parameterized by the complex phase…

高能物理 - 唯象学 · 物理学 2021-05-20 Peter B. Denton , Rebekah Pestes

A preliminary determination of the Dirac phase in the PMNS matrix is $\dell\approx -\frac{\pi}{2}$. A rather accurately determined Jarlskog invariant $J$ in the CKM matrix is close to the maximum. Since the phases in the CKM and PMNS…

高能物理 - 唯象学 · 物理学 2016-02-17 Jihn E. Kim , Soonkeon Nam

We study a model with partial quark-lepton universality that can naturally arise in grand unified theories. We find that constraints on the model can be reduced to a single condition on the Dirac CP phase $\delta$ in the neutrino sector.…

高能物理 - 唯象学 · 物理学 2015-10-02 Jiajun Liao , D. Marfatia , K. Whisnant

We consider a class of models of neutrino mixing with $S_4$ flavour symmetry and generalised CP symmetry, broken to $Z_2$ and $Z_2 \times {\rm CP}$ residual symmetries in the charged lepton and neutrino sectors, respectively. In this…

高能物理 - 唯象学 · 物理学 2018-03-30 J. T. Penedo , S. T. Petcov , A. V. Titov

We propose a simple phenomenological model of quarks-leptons mass matrices having fundamentally universal symmetry structure. These mass matrices consist of democratic and semi-democratic mass matrix terms commonly to the neutrino and the…

高能物理 - 唯象学 · 物理学 2016-01-20 Hiroyuki Nishiura , Takeshi Fukuyama

In this paper we use an exact method to impose unitarity on moduli of neutrino PMNS matrix recently determined, and show how one could obtain information on CP nonconservation from a limited experimental information. One suggests a novel…

高能物理 - 唯象学 · 物理学 2011-01-27 Petre Dita

The Jarlskog rephasing invariant parameter $|J|$ is evaluated using one of the six Unitarity Triangles involving well known CKM matrix elements \vud, \vus,~\rub, ~\vcd, ~\vcs~ and ~\vcb. With PDG2000 values of \vud~ etc. as input, we obtain…

高能物理 - 唯象学 · 物理学 2014-11-17 Monika Randhawa , V. Bhatnagar , P. S. Gill , M. Gupta
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