Study On The Equalities Among The Elements Of CKM And PMNS Matrices

Particle Physics is also called high energy physics which is one branch of physics.Particle physics research the structure of material and interaction in the microworld which is deeper than nucleus and mutual transformation in high energy status and the reason leads to these.For centuries,particle physics has always been a frontier of physics and has been to the deeper development of the microstructure.In 21 century,particle physics have a lot of unanswered questions to be solved.Such as,the origin of the equality of particles.Whether or not sterile neutrinos exist,the mixing matrix of lepton and CP violation phase and so on.The Nobel Prize in Physics of 2013 found the exist of Higgs particle.The experiment of neutrino collision won the Nobel Prize in Physics of 2015.These discoveries explain us the reason why some basic particles have mass and make sure the basic model of particle physics.To these researchers who always work for particle physics,it is a big encouragement.We believe particle physics will have more surprising progress.In this article,we research the relations of CKM mixing matrix and PMNS mixing matrix.The CKM mixing matrix contact three state of quark.The mixing matrixes have nine different schemes.According to the CP violation phase in different schemes.,we can obtain some equations of matrix elements.Though the CP destroy phase of neutrino is not certain,we can find the matrix elements of neutrino also satisfy the relations.It tells us that the mixing of quark and the mixing of neutrino have some hidden symmetry.This article mainly solve the mixing matrixes which also satisfy these relations,we obtain five different model,some of these models is same with quark and lepton mixing matrix which is mentioned in literatures.Which is more interesting is some of these models are same with the mixing matrix which is obtained in group theory.