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相关论文: The Matrix of Unitarity Triangle Angles for Quarks

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The quark mixing matrix is parameterised such that its "Cabibbo substructure" is emphasised. One can choose one of the parameters to be an arbitrarily chosen angle of the unitarity triangle, for example the angle $\beta$ (also called…

高能物理 - 唯象学 · 物理学 2009-11-11 C. Jarlskog

The latest fits to the CKM matrix indicate that alpha=(90.7+4.5-2.9) degrees. The proximity of alpha to a right-angle raises the question: is it merely accidental or is it due to some physics beyond the Standard Model? In the framework of…

高能物理 - 唯象学 · 物理学 2009-04-21 P. F. Harrison , D. R. J. Roythorne , W. G. Scott

The "texture zero mass matrices" for the quarks and leptons describe very well the flavor mixing of the quarks and leptons. We can calculate the angles of the unitarity triangle. We expect the angle alpha of the unitarity triangle to be 90…

高能物理 - 唯象学 · 物理学 2011-04-26 Harald Fritzsch

We argue that there exists simple relation between the quark and lepton mixings which supports the idea of grand unification and probes the underlying robust bi-maximal fermion mixing structure of still unknown flavor physics. In this…

高能物理 - 唯象学 · 物理学 2008-11-26 Martti Raidal

We examine the unitarity triangle of the KM matrix by using the general quark mass matrices on the NNI basis. The Fritzsch anz\"atz is modified by introducing four additional parameters. The KM matrix elements are expressed in terms of…

高能物理 - 唯象学 · 物理学 2010-11-23 Toshiaki Ito , Morimitsu Tanimoto

We propose a novel quark mass matrix texture-pair with five free parameters, which fits the four quark mass ratios $m_s/m_b$, $m_d/m_b$, $m_c/m_t$, $m_u/m_t$, and the four CKM quark mixing observables. The matrices each have one texture…

高能物理 - 唯象学 · 物理学 2025-06-19 P. F. Harrison , W. G. Scott

We propose a parametrization of the lepton mixing matrix in terms of an expansion in powers of the deviations of the reactor, solar and atmospheric mixing angles from their tri-bimaximal values. We show that unitarity triangles and neutrino…

高能物理 - 唯象学 · 物理学 2008-11-26 S. F. King

It has been recognized recently that there is a remarkable empirical relation between lepton and quark mixing angles, theta_{12} + theta_C \approx pi/4. If not accidental, it should testify for yet uncovered new relationship between the…

高能物理 - 唯象学 · 物理学 2007-05-23 Hisakazu Minakata

The masses of quarks and leptons in units of $m_t$ are expressed in powers of $\sigma=\sqrt{m_c/m_t}$. The regularities found suggest specific mass matrices. They reproduce all masses and mixings in striking agreement with observation. A 90…

高能物理 - 唯象学 · 物理学 2016-09-06 Berthold Stech

In view of the observed strong hierarchy of the quark and lepton masses and of the flavor mixing angles it is argued that the description of flavor mixing must take this into account. One particular interesting way to describe the flavor…

高能物理 - 唯象学 · 物理学 2007-05-23 Harald Fritzsch

We propose a new relation between quark mixing matrix and lepton mixing matrix. Since the parameters in the quark sector are well determined, we employ them to describe the mixing of leptons. Phenomenologically, we study the neutrino…

高能物理 - 唯象学 · 物理学 2011-08-02 Nan Qin , Bo-Qiang Ma

In view of the observed strong hierarchy of the quark and lepton masses and of the flavor mixing angles, it is argued that the description of flavor mixing must take this into account. One particularly interesting way to describe the flavor…

高能物理 - 唯象学 · 物理学 2014-11-17 Harald Fritzsch

A unified description of fermionic mixing is proposed which assumes that in certain basis ($i$) a single complex unitary matrix $V$ diagonalizes mass matrices of all fermions to the leading order, ($ii$) the SU(5) relation $M_d=M_l^T$…

高能物理 - 唯象学 · 物理学 2009-11-11 Anjan S. Joshipura , A. Yu. Smirnov

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

The mixing among flavors in quarks or leptons in terms of a single rotation angle is defined such that three flavor eigenvectors are transformed into three mass eigenvectors by a single rotation about a common axis. We propose that a…

高能物理 - 唯象学 · 物理学 2011-08-31 Kee-Hwan Nam , Kim Siyeon , Seungsu Hwang

The neutrino mixing matrix has been measured to be of a form consistent with tribimaximal mixing, while the quark mixing matrix is almost diagonal. A scheme based on flavour A_4 symmetry for understanding these patterns simultaneously is…

高能物理 - 唯象学 · 物理学 2007-05-23 R. R. Volkas

Encouraged by the latest SNO results, we consider the lepton mixing matrix in the approximation that the nu_2 mass eigenstate is trimaximally (democratically) mixed. This suggests a new parameterization of the remaining mixing degrees of…

高能物理 - 唯象学 · 物理学 2011-09-29 James D. Bjorken , P. F. Harrison , W. G. Scott

We discuss the relations between the mixing angles and the mixing matrices of quarks and leptons. With Raidal's numerical relations, we parametrize the lepton mixing (PMNS) matrix with the parameters of the quark mixing (CKM) matrix, and…

高能物理 - 唯象学 · 物理学 2010-11-23 Nan Li , Bo-Qiang Ma

Under the hypothesis that the CP violating phase parameter \delta in the CKM matrix V takes own value so that the radius R(\delta) of the circle circumscribed about the unitary triangle takes its minimum value, possible phase conventions of…

高能物理 - 唯象学 · 物理学 2007-05-23 Yoshio Koide

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…

高能物理 - 唯象学 · 物理学 2007-05-23 Bhag C. Chauhan , Marco Picariello , Joao Pulido , Emilio Torrente-Lujan
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