Yoshio Koide University of Shizuoka

Slides:



Advertisements
Similar presentations
Neutrino mass matrix in triplet Higgs Models with A_4 Symmetry Myoung Chu Oh Miami 2008, Dec. 17, 2008 Based on work with Seungwon Baek.
Advertisements

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)
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)
Split Two-Higgs Doublet and Neutrino Condensation Fei Wang Tsinghua University
The minimal B-L model naturally realized at TeV scale Yuta Orikasa(SOKENDAI) Satoshi Iso(KEK,SOKENDAI) Nobuchika Okada(University of Alabama) Phys.Lett.B676(2009)81.
The classically conformal B-L extended standard model Yuta Orikasa Satoshi Iso(KEK,SOKENDAI) Nobuchika Okada(University of Alabama) Phys.Lett.B676(2009)81.
How to Evade a NO-GO Theorem in Flavor Symmetries Yoshio Koide (Osaka University) International Workshop on Grand Unified Theories: Current Status and.
Compelling Questions of High Energy Physics? What does the future hold? Persis S. Drell Physics Department Cornell University.
Higgs Boson Mass In Gauge-Mediated Supersymmetry Breaking Abdelhamid Albaid In collaboration with Prof. K. S. Babu Spring 2012 Physics Seminar Wichita.
Higgs Quadruplet for Type III Seesaw and Implications for → e and −e Conversion Ren Bo Coauther : Koji Tsumura, Xiao - Gang He arXiv:
Fermion Masses and Unification Steve King University of Southampton.
B. Dutta Texas A&M University Phys.Rev.Lett.100:181801,2008; arXiv: ; To appear Grand Unified Models, Proton Decay and Phase of Collaborator: Yukihiro.
1 Unification of Quarks and Leptons or Quark-Lepton Complementarities Bo-Qiang Ma Peking University (PKU) Peking University (PKU) in collaboration with.
Chiral freedom and the scale of weak interactions.
Richard Howl The Minimal Exceptional Supersymmetric Standard Model University of Southampton UK BSM 2007.
Fermion Masses and Unification Lecture I Fermion Masses and Mixings Lecture II Unification Lecture III Family Symmetry and Unification Lecture IV SU(3),
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.
Masses For Gauge Bosons. A few basics on Lagrangians Euler-Lagrange equation then give you the equations of motion:
Minimal SO(10)×A4 SUSY GUT ABDELHAMID ALBAID In Collaboration with K. S. BABU Oklahoma State University.
Model building: “The simplest neutrino mass matrix” see Harrison and Scott: Phys. Lett. B594, 324 (2004), hep-ph/ , Phys. Lett. B557, 76 (2003).
Presented at 24 th Rencontres de Blois, Chateaux, France, 27 May – 1 June 2012.
What if is very small ? C.S. Lam, McGill/UBC/TRIUMF Hep-ph/ [PLB 507(2001)214] hep-ph/ [PRD 71(2005)093001] hep-ph/
2. Two Higgs Doublets Model
Texture of Yukawa coupling matrices in general two-Higgs doublet model Yu-Feng Zhou J. Phys. G: Nucl. Part. Phys.30 (2004) Presented by Ardy.
Symmetry of Fermion Mixing C.S. Lam McGill and UBC, Canada arXiv: (to appear in Phys. Lett)
Lepton flavour and neutrino mass aspects of the Ma-model Alexander Merle Max-Planck-Institute for Nuclear Physics Heidelberg, Germany Based on: Adulpravitchai,
Speaker: Zhi-Qiang Guo Advisor: Bo-Qiang Ma School of Physics, Peking University 17 th, September, 2008.
Physics 222 UCSD/225b UCSB Lecture 5 Mixing & CP Violation (1 of 3) Today we focus on Matter Antimatter Mixing in weakly decaying neutral Meson systems.
Family Symmetry Solution to the SUSY Flavour and CP Problems Plan of talk: I.Family Symmetry II.Solving SUSY Flavour and CP Problems Work with and Michal.
A. Yu. Smirnov International Centre for Theoretical Physics, Trieste, Italy Institute for Nuclear Research, RAS, Moscow, Russia NO-VE 2006: ``Ultimate.
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/
Neutrino mass and DM direct detection Daijiro Suematsu (Kanazawa Univ.) Erice Sept., 2013 Based on the collaboration with S.Kashiwase PRD86 (2012)
Yukawa and scalar interactions induced by scalar relevant for neutrino masss generation are: Since is assumed to be an exact symmetry of the model has.
Dynamical EWSB and Fourth Generation Michio Hashimoto (KEK) Mt. Tsukuba M.H., Miransky, M.H., Miransky, in preparation.
ArXiv: Unitarity Tests of Mixing Matrices The quark sector.
H. Quarks – “the building blocks of the Universe” The number of quarks increased with discoveries of new particles and have reached 6 For unknown reasons.
Heavy hadron phenomenology on light front Zheng-Tao Wei Nankai University 年两岸粒子物理与宇宙学 研讨会,重庆, 5.7—5.12 。
The CKM matrix & its parametrizations
Quark-Lepton Complementarity in light of recent T2K & MINOS experiments November 18, 2011 Yonsei University Sin Kyu Kang ( 서울과학기술대학교 )
Family Gauge Bosons with an Inverted Mass Hierarchy Yoshio Koide (Osaka University) in collaboration with Toshifumi Yamashita (Maskawa Insititute, KSU)
Renormalization of the Higgs Triplet Model Mariko Kikuchi ( Univ. of Toyama ) Collaborators M. Aoki ( Kanazawa Univ. ), S. Kanemura ( Univ. of Toyama ),
2 nd International Conference on Particle Physics in Memoriam Engin Arık and Her Colleagues Doğuş University, Istanbul, Turkey June nd International.
Mixing in Quarks and Leptons Xiao-Gang He NTU&SJTU NTU&SJTU 1. Mixing in Quarks and Neutrinos 2. Unitarity Tests of Mixing Matrices 3. Some Recent Hints.
Physics 222 UCSD/225b UCSB Lecture 12 Chapter 15: The Standard Model of EWK Interactions A large part of today’s lecture is review of what we have already.
Hunting for Hierarchies in PSL 2 (7) MICHAEL JAY PEREZ PHENOMENOLOGY 2015 MAY 5, 2015 ARXIV : /
1-2 Mass Degeneration in the Leptonic Sector Hiroyuki ISHIDA (Tohoku University) Collaboration with : Takeshi ARAKI (MISC) Ref ; T. Araki and H.I. arXiv.
and what we unsuccessfully tried to explain (so far)
Grand Unification and Neutrino Masses
Charged Higgs boson decay in supersymmetric TeV scale seesaw model
Pontecorvo’s idea An introductory course on neutrino physics (IV)
A New Family Symmetry: Discrete Quaternion Group
Takaaki Nomura(Saitama univ)
Classically conformal B-L extended Standard Model
Non-Standard Interactions and Neutrino Oscillations in Core-Collapse Supernovae Brandon Shapiro.
高能物理所 张贺 高能物理学会第七届年会 2006年10月29日
The Flavour Problem and Family Symmetry
Some Implications Of The Recent LHC Higgs Search Results Xiao-Gang He (SJTU&NTU) Xiao-Gang He and German Valencia, arXiv: Xiao-Gang He and.
Quantum Two.
The MESSM The Minimal Exceptional Supersymmetric Standard Model
Methods of Experimental Particle Physics
CEPC-Physics Workshop
Searching for New Physics in muon lepton flavor violating processes
This talk based on PLB599, 83 and hep-ph/ Koji TSUMURA
Split Two-Higgs Doublet and Neutrino Condensation
Lecture 12 Chapter 15: The Standard Model of EWK Interactions
Run-Hui Li Yonsei University
Can new Higgs boson be Dark Matter Candidate in the Economical Model
Leptonic Charged-Current Interactions
Presentation transcript:

Yoshio Koide University of Shizuoka Joint Meeting of Pacific Region Particle Physics Communities November 1, 2006, Honolulu, Hawaii Neutrino Masses and Mixing Suggested by the Charged Lepton Mass Formula Yoshio Koide University of Shizuoka

1 Introduction Why we investigate the lepton masses and mixings? Today, I would like to confine my talk to the investigation of the lepton masses and mixings. The reason is as follows: Why we investigate the lepton masses and mixings? It is generally considered that masses and mixings of the quarks and leptons will obey a simple law of nature, so that we expect that we will find a beautiful relation among those values. However, even if there is such a simple relation in the quark sector, it is hard to see such a relation in the quark sector, because the relation will be spoiled by the gluon cloud. We may expect that such a beautiful relation will be found just in the lepton sector.

(1) Charged lepton mass relation It is well-known that the observed charged lepton mass spectrum satisfies the relation (1.1) with remarkable precision. [Koide, LNC (1982); PLB (1983)] The mass formula (1.1) is invariant under any exchange . This suggests that a description by S3 may be useful for the mass matrix model. [S3: Pakvasa and Sugawara (1978); Harari, Haut and Weyers (1978)]

For example, the mass formula (1.1) can be understood from a universal seesaw model with 3-flavor scalars [Koide (1990)] (1.2) [Universal seesaw: Gerezhiani (1983); Chang, Mohapatra (1987); Davidson, Wali (1987), Rajpoot (1987), Babu, Mohapatra (1989)] For the charged lepton sector, we take (1.3) where the VEV satisfy the relation (1.4)

(1.5) The VEV relation (1.4) means where are defined by (1.6) The Higgs potential which gives the relation (1.5) is, for example, found in YK, PRD73 (2006), where S3 plays an essential role: (1.7)

(2) Neutrino mass relation [Brannen (2006)] Recently, Brannen has speculated a neutrino mass relation similar to the charged lepton mass relation (1.1): (1.8) Of course, we cannot extract the values of the neutrino mass ratios and from the neutrino oscillation data and unless we have more information on the neutrino masses, so that we cannot judge whether the observed neutrino masses satisfy the relation (1.8) or not.

Generally, the masses which satisfy the relations (1. 1) and (1 Generally, the masses which satisfy the relations (1.1) and (1.8) can be expressed as (1.9) where (1.10) (1.11) Then, Brannen has also speculated the relation (1.12)

From the observed charged lepton mass values, (1.13) (1.14) we obtain (1.13) Then, the Brannen relation (1.12) gives (1.14) which predicts (1.15) (1.16)

Hereafter, we will refer Therefore, the speculations by Brannen are favorable to the observed neutrino data. Hereafter, we will refer the relation (1.8) as the Brannen's first relation and the relation (1.12) as the Brannen's second relation In the present talk, I would like to report the investigation based on the S3 symmetry.

(3) Tribimaximal mixing Here, I would like to emphasize that the investigation of the mass relations without the investigation of the mixing is meaningless because we have known the existence of the neutrino mixing and CKM mixing. The present neutrino data have strongly suggested that the neutrino mixing is approximately described by the so-called tribimaximal mixing (1.17) [Harrison, Perkins, Scott, PLB (1999)]

If the neutrino mass eigenstates are with in contrast to , We define the doublet and singlet of S3    (1.18) If the neutrino mass eigenstates are with in contrast to , then we can obtain the tribimaximal mixing (1.17): (1.19)

2 Seesaw Model In the present model, it is essential that the mass matrix is expressed by a bilinear form . (2.1) Although we can adopt a Frogatt-Nielsen type model, for convenience, in the present talk, we adopt a seesaw-type mass matrix model with 3 scalars . (2.2)

in the structure of in the structure of My Old Model My Revised model is not diagonal Neutrino mixing originates Neutrino mixing originates in the structure of in the structure of

Note that although we assume the VEV relation (1.4) it is not trivial whether the neutrino masses satisfy the Brannen's first relation or not i.e. whether the parameters satisfy the relation (1.10) or not because the present is not diagonal.

3 Mass matrix form under S3 The general form of the S3 invariant Yukawa interaction is given by (3.1)

For the charged lepton sector, we have already assumed the form (3.2)                                   (3.2)         where and . The form (3.2) corresponds to the case (3.3) in the general form (3.1). 

The present neutrino oscillation date favor to the tribimaximal mixing, so that the neutrino mass eigenstates are approximately in the states with . For convenience, we investigate a case in the limit of . (3.4) The mass matrix (3.4) is diagonalized by a rotation (3.5) as . (3.6)

Then we obtain the mass eigenvalues (3.7) where we have used the relation (3.8) Note that the mass spectrum is independent of the parameters and , and only depends on the parameters and . On the other hand, as seen in Eq.(3.5), the mixing angle is independent of the parameters and only depends on the parameter .

We have still 3 free parameters , and even if we assume . We put the following normalization condition [Condition A] [Condition B] The case satisfies the Brannen's first relation (1.8) but, there is no reasonable ground The general study under the S3 symmetry will be found in YK, a preprint US-06-05.

4 An S3-invariant neutrino interaction with a concise structure In this talk, I would like to propose an S3-invariant neutrino interaction with a concise form (4.1) where . Here, we have assumed the universality of the coupling constants of the terms. YK, preprint US-06-03, hep-ph/0605074

(4.2) Here, we have used a relation (4.3) independently of the value . Then, we obtain (4.2) Here, we have used a relation (4.3) from the S3 Higgs potential model. The results satisfy the Brannen's first relation independently of the value . Comparing the definition of (1.7), we obtain (4.4)

The value is somewhat larger than the value from the Brannen's second relation . The present case predicts (4.5) The predicted value is somewhat larger than (4.6) However, the case cannot, at present, be ruled out within three sigma.

If , cannot be diagonal on the basis . The mixing angle of the further rotation between are given by (4.7) It is well known that the symmetry is promising for neutrino mass matrix description. [Fukuyama-Nishiura (1997), Ma-Raidal (2001), Lam (2001), Balaji-Grimus-Schwetz (2001), Grimus-Laboura (2001)] We assume the symmetry for , i.e. , which leads to (4.8)

Therefore, the present model gives the exact tribimaximal mixing: (4.9) Note that if we require the symmetry for the fields , the symmetry will affect the charged lepton sector, too. Here, we have assumed the symmetry only for , not for , so that the symmetry does not affect the charged lepton mass matrix.

Why we could explain the neutrino mixing in spite of ? Charged lepton sector Neutrino sector is not diagonal on the basis on the basis is diagonal on the basis We have required the universality of the coupling constants on the basis on the basis

5 Conclusion (1) The first relation by Brannen can be understood from a universal seesaw mass matrix model with the S3 symmetry, however, only for a special case. (2) We have failed to derive the Brannen's second relation under the S3 symmetry.

(3) We have proposed an S3 invariant neutrino Yukawa interaction with a concise structure which predicts the neutrino masses and tribimaximal mixing under a 2-3 symmetry

Many open questions still remains We need further consideration Thank you