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Quark-Lepton Complementarity in light of recent T2K & MINOS experiments. November 18, 2011 Yonsei University Sin Kyu Kang ( 서울과학기술대학 교 ). Outline. Introduction - current status of neutrino mixing angles Parameterizations of neutrino mixing matrix

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Quark-Lepton Complementarity in light of recent T2K & MINOS experiments


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quark lepton complementarity in light of recent t2k minos experiments

Quark-Lepton Complementarityin light of recent T2K & MINOS experiments

November 18, 2011

YonseiUniversity

Sin Kyu Kang

(서울과학기술대학교)

outline
Outline
  • Introduction

- current status of neutrino mixing angles

  • Parameterizations of neutrino mixing matrix
  • Quark mixing angles and Quark-Lepton Complementarity (QLC)
  • QLC parameterizations and Triminimalparametrization
  • Predictions of physical observables
  • Summary
slide3

Purposes of this work

  • To investigate whether neutrino mixing matrix based on Quark-Lepton Complementarity (QLC) reflecting GUT relations or quark-lepton symmetry is consistent with current neutrino data or not.
  • To investigate how we can achieve large values of mixing angle q13so as to accommodate recent T2K or MINOS experimental results.
  • To point out that nonzero values of q13 can be related to the deviation of q12from maximal mixing or tri-bimaximal mixing
slide4

Neutrino Mixing Matrix

Standard Model states

Neutrino

mass

states

Atmospheric angle

Reactor angle and Dirac CP phase

Solar angle

Majorana phases

slide5

Neutrino mixing anlges before T2K

( Schwetz, Tortola, Valle, New J.Phys.13:063004,2011. )

slide6

Neutrino data for neutrino mixing angles is consistent with

  • “Tri-bimaximal mixing” pattern at 2σ

It can be derived from some discrete symmetries such as A4, S4 etc.

recent t2k experiment
Recent T2K experiment

The results show

For non-maximal 23 mixing

More data needed to firmly establish νe appearance and to better determine θ13

slide8

Recent MINOS experiment

( 1.7 s excess of ne events )

slide9

Although TB mixing can be achieved by imposing some flavor symmetries, the current neutrino data indicates that TB is a good zeroth order approximation to reality and there may be deviations from TB in general.

  • To accommodate deviations from TB, neutrino mixing angles can be parameterized (S.F.King 2008)
  • The global fit of the neutrino mixing angles can be translated into the 3σ
slide10

Alternatively, triminimalparametrization has been proposed

(Pakvasa, Rodejohann, Weiler, Phys. Rev. Lett.100 ,2008 )

  • The neutrino mixing observables up to 2nd order in
slide11

Quark Mixing Angles

  • The standard parameterization of VCKM
  • Current data for quark mixing angles
slide12

Wolfenstein Parameterization of quark mixing matrix

  • L. Wolfenstein, Phys. Rev. Lett. 51 (1983)
quark lepton complimentarity
Quark Lepton Complimentarity

Lepton mixings

Quark mixings

Present experimental data allows for relations like:

Raidal(2004) Smirnov, Minakata(2004)

'Quark-Lepton Complementarity‘

QLC is well in consistent with the current data within 2σ

slide14

QLC may serve as a clue to quark-lepton symmetry or

  • unification.
  • So, QLC motivates measurements of neutrino mixing angles to at least the accuracy of the measured quark mixing angles.
  • In the light of QLC, neutrino mixing matrix can be composed of CKM mixing matrix and maximal mixing matrix.
  • Three possible combinations of maximal mixing and CKM as parametrization of neutrino mixing matrix
  • (Cheung, Kang, Kim, Lee (2005), Datta, Everett, Ramond (2005) )
slide15

Among three possible combinations,

  • Mixing angles in powers of λ
  • consistent with the current experimental data.
slide16

Among three possible combinations,

  • Mixing angles in powers of λ
  • consistent with the current experimental data, but disfavored by T2K measurement of q13
slide17

Among three possible combinations,

  • Mixing angles in powers of λ
  • consistent with the current experimental data , but disfavored by only T2K measurement of q13 at 90%CL.
slide18

How to derive those parameterizations

  • The flavor mixings stem from the mismatch between the LH rotations of the up-type and down-type quarks, and the charged leptons and neutrinos.
  • In general, the quark Yukawa matrices
  • Forcharged lepton sector :
slide19

For neutrino sector :

  • Introducing one RH singlet neutrino per family which leads to the seesaw mechanism
  • Rewriting neutrino mass,
  • In SO(10),

Taking symmetric YD ,

Taking

Taking

slide20

Realistic neutrino mixing matrix,

From the empirical relation,

We need to modify

  • Then, neutrino mixing angles becomes
slide21

In GUT framework,

At low energies, the Yukawa operators of the SM (MSSM) are generated from integrating out heavy fields X which lead to GUT relations between q and l

  • In SU(5) GUT,
slide22

Then, neutrino mixing angles becomes

  • In Pati-Salam GUT (Antusch & Sinrath (2009) ),
  • it is possible to have
slide23

What if replacing R12(p/4) with tri-bimaximal type ?

QLC parameterizations become

For realistic GUT relation, we replace UCKMU(l)

It is possible to obtain rather large q13 while keeping small deviation of q12

slide24

Lepton Flavor Violation in the SUSY

caused by the misalignment of lepton and slepton mass matrices

RG induces

Taking

(cf)

slide25

Predictions for Physical Observables

  • Neutrino mixing probabilities for phased averaged propagation
  • (Δm2L/4E >>1)

(Pakvasa, Rodejohann, Weiler, Phys. Rev. Lett.100 ,2008 )

slide26

Using the previous formulae, we obtain

  • Using the best fit values for the parameters
slide27

The phase-averaged mixing matrix modifies the flavor composition of the neutrino fluxes.

  • The most common source for atmospheric and astrophysical neutrinos is thought to be pion production and decay.
  • The pion decay chain generates an initial neutrino flux with a flavor composition given approximately
  • for the neutrino fluxes :

(P. Lipari, M. Lusignoli, and D. Meloni (2007))

  • At the Earth :
slide29

Final Remark

  • In the light of recent data from T2K,

more favorable because it predicts

summary
Summary
  • We have discussed that neutrino mixing matrix based on Quark-Lepton Complementarity (QLC) reflecting GUT relations or quark-lepton symmetry is consistent with global fit to current neutrino data at 2s but some of QLC parameterizations disfavored by T2K
  • We have shown how we can achieve large values of mixing angle q13so as to accommodate recent T2K or MINOS experimental results.
  • We have observed that QLC based on GUT relations lead to the relation between nonzero values of q13 and the deviation of q12from maximal mixing or tri-bimaximal mixing