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Recent work on F-theory GUTs has shown that the predicted masses, and magnitudes of the mixing matrix elements in the quark and lepton sectors are in close accord with experiment. In this note we estimate the CP violating phase of the…

High Energy Physics - Theory · Physics 2011-06-27 Jonathan J. Heckman , Cumrun Vafa

Using the fact that the neutrino mixing matrix $U = U^\dagger_{e}U_{\nu}$, where $U_{e}$ and $U_{\nu}$ result from the diagonalisation of the charged lepton and neutrino mass matrices, we analyse the predictions based on the sum rules which…

High Energy Physics - Phenomenology · Physics 2015-05-12 I. Girardi , S. T. Petcov , A. V. Titov

We present a model for quark masses and mixing, featuring geometrical CP violation through a \Delta(27) triplet. By employing a single U(1)_F or Z_N symmetry in addition to \Delta(27), we forbid all terms in the scalar potential that would…

High Energy Physics - Phenomenology · Physics 2015-06-16 Ivo de Medeiros Varzielas , Daniel Pidt

The possibility that the interactions of the third generation of quarks and leptons may violate universality by a small amount remains an open experimental question. The model of Li and Ma, which naturally accommodates such violations, is…

High Energy Physics - Phenomenology · Physics 2009-10-22 T. G. Rizzo

Observing the CKM matrix elements written in different parametrization schemes, one can notice obvious relations among the sine-values of the CP phases in those schemes. Using the relations, we establish a few parametrization-independent…

High Energy Physics - Phenomenology · Physics 2015-12-09 Hong-Wei Ke , Xue-Qian Li

We perform a comprehensive study of family symmetry models based on $A_4$ combined with the generalised CP symmetry $H_{\rm{CP}}$. We investigate the lepton mixing parameters which can be obtained from the original symmetry $A_4\rtimes…

High Energy Physics - Phenomenology · Physics 2015-06-16 Gui-Jun Ding , Stephen F. King , Alexander J. Stuart

We analyse the quark mass hierarchy and CKM matrix using the universal Yukawa coupling model with small violations precisely. We estimate the ranges of the values of 8 violation parameters (delta1u, delta2u, delta3u, delta1d, delta2d,…

High Energy Physics - Phenomenology · Physics 2016-09-06 Tadayuki Teshima , Toyokazu Sakai

We perform a global analysis of neutrino data in the framework of three massive neutrinos with non-standard neutrino interactions which affect their evolution in the matter background. We focus on the effect of NSI in the present…

High Energy Physics - Phenomenology · Physics 2019-07-24 Ivan Esteban , M. C. Gonzalez-Garcia , Michele Maltoni

We re-analyze charged lepton corrections to neutrino mixing angles and CP phases, carefully including CP phases from the charged lepton sector. We present simple analytical formulae for including the charged lepton corrections and derive…

High Energy Physics - Phenomenology · Physics 2010-04-05 Stefan Antusch , Steve F. King

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…

High Energy Physics - Phenomenology · Physics 2024-01-31 Piotr Kielanowski , S. Rebeca Juárez Wysozka , Liliana Vázquez Mercado

The neutrino mass matrix has remnant CP symmetry expressed in terms of the lepton mixing matrix, and vice versa the remnant CP transformations allow us to reconstruct the mixing matrix. We study the scenario that all the four remnant CP…

High Energy Physics - Phenomenology · Physics 2015-10-07 Peng Chen , Chang-Yuan Yao , Gui-Jun Ding

It is proposed that all flavor mixing is caused by the mixing of the three quark and lepton families with vectorlike fermions in 5 + 5-bar multiplets of SU(5). This simple assumption implies that both V_{CKM} and U_{MNS} are generated by a…

High Energy Physics - Phenomenology · Physics 2015-06-11 S. M. Barr , Heng-Yu Chen

We report on an exact method for global fits of the CKM matrix by using the necessary and sufficient conditions the data have to satisfy in order to find a unitary matrix compatible with them, and this method can be applied to both quark…

High Energy Physics - Phenomenology · Physics 2007-05-23 Petre Dita

We consider a scenario for the Quark-Lepton Complementarity relations between mixing angles in which the bi-maximal mixing follows from the neutrino mass matrix. According to this scenario in the lowest order the angle \theta_{12} is \sim…

High Energy Physics - Phenomenology · Physics 2008-11-26 Michael A. Schmidt , Alexei Yu. Smirnov

We propose that leptonic CP violation arises from a breaking of the mu-tau exchange symmetry in the neutrino mass matrix which in turn is indicated by the near maximal atmospheric neutrino mixing and the near zero \theta_{13}. We find that…

High Energy Physics - Phenomenology · Physics 2008-11-26 R. N. Mohapatra , W. Rodejohann

As pointed out by many authors, recent observations are consistent with an intriguing relation between the Cabibbo angle $\theta_C$ and the solar neutrino mixing angle $\theta_{12}$, namely $\theta_{12} \simeq \pi/4 - \theta_C$. Such…

High Energy Physics - Phenomenology · Physics 2007-05-23 Stefan Antusch , Steve F. King , Rabindra N. Mohapatra

We provide a classification of generalized CP symmetries preserved by the neutrino mass matrix according to the number of zero entries in the associated transformation matrix. We determine the corresponding constrained form of the lepton…

High Energy Physics - Phenomenology · Physics 2016-08-10 Peng Chen , Gui-Jun Ding , Felix Gonzalez-Canales , J. W. F. Valle

After the successful investigation and confirmation of non zero $\theta_{13}^{PMNS}$ by various experiments, we are standing at a square where we still encounter a number of issues, which are to be settled. In this paper, we have extended…

High Energy Physics - Phenomenology · Physics 2018-06-27 Gazal Sharma , Shankita Bhardwaj , B. C. Chauhan , Surender Verma

Non-unitary neutrino mixing implies an extra CP violating phase that can fake the leptonic Dirac CP phase $\delta_{CP}$ of the simplest three-neutrino mixing benchmark scheme. This would hinder the possibility of probing for CP violation in…

High Energy Physics - Phenomenology · Physics 2017-03-03 Shao-Feng Ge , Pedro Pasquini , M. Tortola , J. W. F. Valle

Against the conventional picture that the mass matrix forms in the quark sectors will take somewhat different structures from those in the lepton sectors, a possibility that all the mass matrices of quarks and leptons have the same form as…

High Energy Physics - Phenomenology · Physics 2017-08-23 Yoshio Koide , Hiroyuki Nishiura , Koichi Matsuda , Tatsuru Kikuchi , Takeshi Fukuyama