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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…

High Energy Physics - Phenomenology · Physics 2016-09-06 Berthold Stech

We propose a model of quark and lepton mixing based on the tetrahedral A(4) family symmetry with quark-lepton unification via the tetra-colour Pati-Salam gauge group SU(4)_{PS}, together with SU(2)_L x U(1)_R. The "tetra-model" solves many…

High Energy Physics - Phenomenology · Physics 2015-06-17 Stephen F. King

We construct a supersymmetric model for leptons and quarks with the flavor symmetry Delta(384) and CP. The peculiar features of lepton and quark mixing are accomplished by the stepwise breaking of the flavor and CP symmetry. The correct…

High Energy Physics - Phenomenology · Physics 2020-02-17 Claudia Hagedorn , Johannes König

Current experimental data indicate that two unitarity triangles of the CKM quark flavor mixing matrix V are almost the right triangles with \alpha \approx 90^\circ. We find that \alpha = 90^\circ actually points to {\rm…

High Energy Physics - Phenomenology · Physics 2009-08-17 Zhi-zhong Xing

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…

High Energy Physics - Phenomenology · Physics 2008-11-26 S. F. King

We propose a realistic A4 extension of the Standard Model involving a particular quark-lepton mass relation, namely that the ratio of the third family mass to the geometric mean of the first and second family masses are equal for down-type…

High Energy Physics - Phenomenology · Physics 2013-09-05 S. F. King , S. Morisi , E. Peinado , J. W. F. Valle

In the context of quark (as for lepton) mixing, we introduce the concept of the matrix of unitarity triangle angles $\Phi$, emphasising that it carries equivalent information to the complex mixing matrix $V$ itself. The angle matrix $\Phi$…

High Energy Physics - Phenomenology · Physics 2009-10-18 P. F. Harrison , S. Dallison , W. G. Scott

We systematically investigate the parameter space of neutrino and charged lepton mass matrices for textures motivated by an extended quark-lepton complementarity. As the basic hypothesis, we postulate that all mixing angles in U_l and U_nu…

High Energy Physics - Phenomenology · Physics 2008-11-26 Florian Plentinger , Gerhart Seidl , Walter Winter

The complementarity between the quark and lepton mixing matrices is shown to provide robust predictions. We obtain these predictions by first showing that the matrix V_M, product of the quark (CKM) and lepton (PMNS) mixing matrices, may…

High Energy Physics - Phenomenology · Physics 2009-06-11 Marco Picariello , Bhag C. Chauhan , Joao Pulido , Emilio Torrente-Lujan

Similarity between the weak interaction properties of quarks and leptons has led to suggestions that the origin of lepton mixing angles may be related to those of quarks. In this paper, we present a gauge model based on $SU(2)_L \times…

High Energy Physics - Phenomenology · Physics 2009-11-10 P. H. Frampton , R. N. Mohapatra

We have studied two approaches to predict quark and lepton mixing patterns from the same flavor symmetry group in combination with CP symmetry. The first approach is based on the residual symmetry $Z_2$ in the charged lepton sector and…

High Energy Physics - Phenomenology · Physics 2018-09-19 Jun-Nan Lu , Gui-Jun Ding

The residual $\mathbb Z^{23}_2$ ($\mathbb Z^{\mu\tau}_2$) and $\mathbb Z^{12}_2$ ($\mathbb Z^s_2$ or $\overline{\mathbb Z}^s_2$) symmetries can not only apply to the lepton sector, but also explain the mainly $1$--$2$ mixing in the quark…

High Energy Physics - Phenomenology · Physics 2014-06-10 Shao-Feng Ge

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…

High Energy Physics - Phenomenology · Physics 2015-06-05 Michael J. Baker , J. Bordes , H. M. Chan , S. T. Tsou

We discussed the scenario that a discrete flavor group combined with CP symmetry is broken to $Z_2\times CP$ in both neutrino and charged lepton sectors. All lepton mixing angles and CP violation phases are predicted to depend on two free…

High Energy Physics - Phenomenology · Physics 2018-04-04 Cai-Chang Li , Jun-Nan Lu , Gui-Jun Ding

Inspired by a new relation $\theta_{13}^{\rm PMNS}={\theta_C}/{\sqrt{2}}$ observed from the relatively large $\theta_{13}^{\rm PMNS}$, we find that the combination of this relation with the quark-lepton complementarity and the…

High Energy Physics - Phenomenology · Physics 2012-11-20 Xinyi Zhang , Bo-Qiang Ma

Lepton and quark asymmetries at Z boson peak are a powerful means to test the couplings of the Z boson to fermions. The measurements performed at LEP and SLC colliders are reviewed, and their impact on the determination of the electroweak…

High Energy Physics - Experiment · Physics 2007-05-23 Vitaliano Ciulli

Although tribimaximal mixing (TBM) and quark-lepton complementarity (QLC) are both compatible with experimental data within one standard deviation ($ 1 \sigma$), the TBM and QLC assumptions are mutually exclusive by $56 \sigma$.

High Energy Physics - Phenomenology · Physics 2009-03-31 Paul H. Frampton , Shinya Matsuzaki

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

The standard model does not provide an explanation of the observed alignment of quark flavors i.e. why are the up and down quarks approximately aligned in their weak interactions according to their masses? We suggest a resolution of this…

High Energy Physics - Phenomenology · Physics 2018-10-17 Abhish Dev , Rabindra N. Mohapatra

Using renormalization group techniques, we examine several interesting relations among masses and mixing angles of quarks and leptons in the Standard Model. We extend the analysis to the minimal supersymmetric extension to determine its…

High Energy Physics - Phenomenology · Physics 2009-10-22 H. Arason , D. J. Castano , E. J. Piard , P. Ramond