S3 GROUP MIXING (TRI-MAX. MIXING) GENERALISES TBM:

Slides:

Advertisements

Similar presentations

EXTREMISATION OF JARLSKOG INVARIANTS JARLSKOG INVARIANCE: U(3) Diagonal Non-Diagonal Diagonal OBSERVABLES JARLKOG INVARIANT FUNDAMENTAL LAWS JARLSKOG COVARIANT.

Advertisements

Date D 0 -D 0 Oscillation Niels van de Vegte & Roel Tempelaar Supervisor: Johan Messchendorp Kernfysisch Versneller Instituut.

Particle Physics II Chris Parkes Heavy Flavour Physics Weak decays – flavour changing Mass states & flavour states GIM mechanism & discovery of charm CKM.

Obtaining a nonzero  13 in lepton models based on SO(3)  A 4 Yuval Grossman and Wee Hao Ng, Cornell University Phenomenology 2014 arXiv: [hep-ph]

Resonant Leptogenesis In S4 Model Nguyen Thanh Phong Cantho University In cooperation with Prof. CSKim, SKKang and Dr. YHAhn (work in progress)

EMGT 501 HW #1 Solutions Chapter 2 - SELF TEST 18

Morimitsu TANIMOTO Niigata University, Japan Prediction of U e3 and cosθ ２３ from Discrete symmetry XXXXth RENCONTRES DE MORIOND March ６, La Thuile,

Quark and Lepton Mixing in S 4 Flavor Model September 28, 2010 Max-Planck-Institut für Kernphysik Heidelberg, Germany Morimitsu Tanimoto (Niigata University)

Table of Contents Factoring A Difference Of Squares Difference of Squares: A difference of squares is an algebraic expression of the form A 2 – B 2, where.

Table of Contents Example 1: Solve 3x = 0. Quadratic Equation: Solving by the square root method This method can be used if the quadratic equation.

Neutrinos and Flavour G.G.Ross, Coseners House, May 03 What is the origin of the Quark and lepton masses, mixing angles and CP violating phases? Family?

Enriching the Standard Model With a family of CP even and odd Higgs fields IAS School Jan 13, 2012 Nanyang Technological University Singapore.

Textures and flavour models G.G.Ross, Oxford, 21st June 2004 Family? Symmetries Coherent picture of quark and lepton masses and mixing?

Chapter 7 Linear Programming Continued file 7a. Here is a basic linear programming problem. We want to Maximize profit = 7x1 + 5x2, but we have constraints.

Aug 29-31, 2005M. Jezabek1 Generation of Quark and Lepton Masses in the Standard Model International WE Heraeus Summer School on Flavour Physics and CP.

Part 2.6: Using Character Tables

Fermion Masses G.G.Ross, Corfu, September 2005 The Standard Model.

1 times table 2 times table 3 times table 4 times table 5 times table

Table of Contents Compound Linear Inequalities: Solving Algebraically Example: Algebraically solve, - 5 < 2x + 3  8. First break the compound inequality.

Toyota National College of Technology A.Takamura Collaboration with K.Kimura and T.Yoshikawa GLoBES 2007 Measuring the Leptonic CP Phase in Oscillations.

1 1.9 © 2016 Pearson Education, Inc. Linear Equations in Linear Algebra THE MATRIX OF A LINEAR TRANSFORMATION.

1.3(M2) Warm Up (8 + 4i) – (9 – 2i) (-2 – i) + (-6 – 3i)

Finding position-to-term rules Find position-to-term rules for these sequences:

Enriching the Standard Model & Beyond IAS Workshop Jan 27, 2012 Nanyang Technological University Singapore.

Systems of Linear Inequalities (4.10) Layering inequalities.

Photon Efficiency Measures & Processing Dominic W. Berry University of Waterloo Alexander I. LvovskyUniversity of Calgary.

Miami-2008, 17 Dec 2008Presented by: W. G. Scott, PPD/RAL.1.

Venice: 10 Mar 2009Presented by: W. G. Scott, PPD/RAL.1 1) “Plaquette Invariants and the Flavour-Symmetric…” P.F. Harrison, D. R. J. Roythorne, and W.

Algebra 2 Ch.5 Notes Page 30 P Modeling Data with Quadratic Equations.

The Rules of Exponents Algebra The Rules of Exponents.

Maximal CP Violation Hypothesis and Phase Convention of the CKM Matrix January 13, 2004, at YITP Y. Koide (University of Shizuoka) Based on hep-ph/

Warm-up Solve each system of equations:

weak decays beta decay ofneutron problem energy and momentum not conserved e n p.

A VARIATIONAL PRINCIPLE IN ACTION? SYMMETRIES OF NEUTRINO MIXING: P. F. Harrison, D. H. Perkins and W. G. Scott Phys. Lett. B 530 (2002) 167. hep-ph/

Algebra n th Term. Algebra When we are working to find the n th term we are looking to find patterns in number sequences.

$100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300 $400 $500 $100 $200 $300.

Miami-2008, 17 Dec 2008Presented by: W. G. Scott, PPD/RAL.1 1) “Plaquette Invariants and the Flavour-Symmetric…” P.F. Harrison, D. R. J. Roythorne, and.

Tables Learning Support

Michael Jay Pérez In collaboration with J. Kile, P. Ramond, and J. Zhang Phenomenology 2014, Pittsburgh, PA May 5, 2014 arXiv:

Normal Distributions. Probability density function - the curved line The height of the curve --> density for a particular X Density = relative concentration.

MILOS, 20 May 2008Presented by: W. G. Scott, PPD/RAL.1 1) “Plaquette Invariants and the Flavour-Symmetric…” P.F. Harrison, D. R. J. Roythorne, and W. G.

= the matrix for T relative to the standard basis is a basis for R 2. B is the matrix for T relative to To find B, complete:

Reducing a Set Covering Matrix. S I T E S Cost Areas

Chapter 4: Polynomials Quadratic Functions (Section 4.1)

Definition: Even Function

Neutrino Masses and Flavor Mixing H. Fritzsch LMU Munich.

Probability vs. Impact Matrix

Lecture 14 – Neutral currents and electroweak unification

Lecture 13 – the weak force

高能物理所张贺高能物理学会第七届年会 2006年10月29日

Particle Placemat.

بهداشت فردي.

College Algebra 1.5 Complex Numbers

السيولة والربحية أدوات الرقابة المالية الوظيفة المالية

If we increase b2 from 10 to 20 will the optimal basis change?

Presented by: W. G. Scott, PPD/RAL.

Quark and lepton masses

Зан ба насанд хүрэх Character and adult

y x y = x + 2 y = x + 4 y = x – 1 y = -x – 3 y = 2x y = ½x y = 3x + 1

y x y = x + 2 y = x + 4 y = x – 1 y = 6x – 3 y = 2x y = ½x y = 3x + 1

Matrix representative for C2 operation on H2O atom positions

High Energy Physics On the Fukugita-Tanimoto-Yanagida Ansatz with Partially Non-degenerate Right-handed Majorana Neutrinos 29 October,

3 times tables.

6 times tables.

Conformity-of-Production

Leptonic Charged-Current Interactions

Steve King, Nu-Mass Meeting, Durham

Number of treatments ____________________________________________

Presentation transcript:

S3 GROUP MIXING (TRI-MAX. MIXING) GENERALISES TBM:

SYMMETRIC S3 GROUP: NAT. REP.

S3 GROUP MATRIX: NAT. REP. RETRO-CIRC. TRI- CIRC. MAX. MIXING (FLAVOUR BASIS) = S3 GROUP MIXING

S3 GROUP MIXING (TRI-MAX. MIXING) GENERALISES TBM:

CYCLIC C3 GROUP: NAT. REP.

C3 GROUP MATRIX: NAT. REP. CIRCULANT TRIMAX. MIXING

TRI-MAXIMAL MIXING: “ We are probably far from this….. but not very far…” N. Cabibbo: Lepton-Photon 2001 HPS PLB 349 (1995) 357 N. Cabibbo PL 72B (1978) 222. (cf. C3 CHARACTER TABLE)

S3 CLASS ALGEBRA: NAT. REP.

S3 CLASS MATRIX: NAT. REP. TRI-BI-MAX. MIXING MASS BASIS)(

(= TRI-BI-MAX. MIXING)

NAT. REP. S3 CLASS OPERATORS:

CLAS-MATRIX: NAT. REP. S3 TRI-BI-MAX. MIXING ( FLAVOUR BASIS )