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( ) SUSY GUT and FCNC

with T. Yamashita, M. Bando with S. Kim, A. Matsuzaki, K. Sakurai, T.Yoshikawa. ( ) SUSY GUT and FCNC. 1. SUSY GUT and Yukawa structures 2. Unification for Matter sector Why are larger neutrino mixings? Horizontal symmetry to solve SUSY flavor problem

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( ) SUSY GUT and FCNC

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  1. with T. Yamashita, M. Bando with S. Kim, A. Matsuzaki, K. Sakurai, T.Yoshikawa ( ) SUSY GUT and FCNC 1. SUSY GUT and Yukawa structures 2. Unification for Matter sector Why are larger neutrino mixings? Horizontal symmetry to solve SUSY flavor problem 3. Prediction of GUT on FCNC 4. Summary NobuhiroMaekawa(NagoyaUniv.) TexPoint fonts used in EMF. Read the TexPoint manual before you delete this box.: AA

  2. Grand Unified Theories ２　Ｕｎｉｆｉｃａｔｉｏｎｓ • Gauge Interactions • Matter

  3. ＳUSY GUT • Ｓｏｌｖｅ　Gauge Ｈｉｅｒａｒｃｈｙ　Ｐｒｏｂｌｅｍ • Ｉｍｐｒｏｖｅ　Ｇａｕｇｅ　Ｃｏｕｐｌｉｎｇ　Ｕｎｉｆｉｃａｔｉｏｎ　 and Proton Stability (Dimension 6) SUSY GUT Non SUSY

  4. Masses & Mixings and GUT u, c, t Strongest CKM small mixings Neutrinos Weakest e, μ，τMiddle d, s, b Middle MNS large mixings These can be naturally realized in SU(5) GUT!!

  5. SU(5) SUSY GUT have stronger hierarchy than Stronger hierarchy leads to smaller mixings Quark mixings(CKM) Lepton mixing(MNS)

  6. Mass hierarchy and mixings • Stronger hierarchy leads to smaller mixings Stronger hierarchy Smaller mixings

  7. SU(5) SUSY GUT have stronger hierarchy than Stronger hierarchy leads to smaller mixings Quark mixings(CKM) Lepton mixing(MNS) Good agreement with masses & mixings

  8. Large mixings and FCNC • Even if universal sfermion masses at cutoff, radiative correction induces non-universality. • Large mixings for • SO(10) GUT relation Large Large FCNC are expected. Borzumati-Masiero 85 Hisano-Moroi-Tobe-Yamaguchi-Yanagida Barbieri-Hall-Strumia 95 Moroi 00 (SU(5)) Chang-Masiero-Murayama 02 (SO(10))

  9. Ｌｅｐｔｏｎ　Ｆｌａｖｏｒ　Ｖｉｏｌａｔｉｏｎ SO(10) Masiero,Vempati,Vives 02

  10. Constraints to Hisano-Shimizu 03 • EDM of Hg (neutron) • Bs mixing CDF 06

  11. 1st Summary & Questions • SU(5) GUT is in good agreement with the hierarchies of quark & lepton masses and mixings. has stronger hierarchy than • Suppressed FCNC & EDM SO(10) GUT relation looks bad. • More unification of quark and lepton ? • Why larger mixings in lepton sector ? • Origin of various Yukawa hierarchies ?

  12. E6 GUT can answer these questions !

  13. E6 GUT answers these questions • More unification of quark and lepton ? Yes E6 SO(10) • Why larger mixings in lepton sector ? • Origin of various Yukawa hierarchies ? Various Yukawa hierarchies can be induced from one Yukawa hierarchy in E6 GUT.

  14. Guisey-Ramond-Sikivie, Aichiman-Stech, Shafi, Barbieri-Nanopoulos, Bando-Kugo,… Ｕｎｉｆｉｃａｔｉｏｎ Three of six become superheavy after the breaking Once we fix , three light modes of six are determined. We assume all Yukawa matrices

  15. Milder hierarchy for Bando-N.M. 01 N.M, T. Yamashita 02 • fields from become superheavy. • Light modes have smaller Yukawa couplings and milder hierarchy than Superheavy unless • Larger mixings in lepton sector than In quark sector. • Small • Small neutrino Dirac masses Suppressed radiative LFV

  16. How to obtain various Yukawas?

  17. 2nd Ｓｕｍｍａｒｙ • unification explains why the lepton sector has larger mixings than the quark sector. • Suppressed radiative LFV • A basic Yukawa hierarchy The other Yukawa hierarchies Hierarchy of is stronger than that of Three come from the first 2 generation of

  18. N.M. 02,04 N.M, T. Yamashita 04 +horizontal symmetry • Unification of generations by (or ) realizes the universality of sfermion masses. • A prediction for sfermion mass spectrum • This shift makes this model consisitent with the present experiments • The 3rd generation FCNC can be large. Testable in future. Universal mass Universal mass Different

  19. Large neutrino mixings and FCNC • The universal sfermion masses only for the 1st 2 generation do not suppress FCNC sufficiently if 　　　　　　　　　． Universality for all three generations is required!

  20. 5: 10: How does FCNC processes take place in this model? flavor violating No source of flavor violation For example, for the right-handed charged slepton sector, Since 10 contains Q, the form of unitary matrix V is CKM-like. We can parametrize it with Cabibbo angle λ.

  21. 5: 10: Predictions of E6 GUT+horizontal symmetry Kim-N.M.-Matsuzaki-Sakurai-Yoshikawa must be around the weak scale, because of the stability of the weak scale, while can be taken larger.

  22. Propagator suppression from 1 or 2 generation becomes stronger, but mass difference increase. As a result, both transition rate remain finite, and don’t decouple! Non decoupling feature of this model (in lepton flavor violation) • By picking up the 3-2 element, the size of τ→μ transition rate is order . • For μ→eγ, there are two passes to change the flavor μ→e. Both they are order . If we raise overall SUSY scale m …

  23. Detectable unless <400GeV Can we discover the LFVat the future experiments? (exclude) (exclude) MEG experiment (super-)KEKB τ→μγ Detectable, when tanβ is large and <250GeV μ→eγ

  24. Right-handed Left-handed This model says thatfinal state lepton tends to be right-handed. • Final state lepton has different chirality from initial one. • Intermediate state must be right-handed to pick up the . How can we see this feature experimentally? spin spin It is possible to check this feature experimentally by measuring the angular distribution of final state lepton.

  25. Predictions (Quark sector) • The maginitudes are the same order as of the RGE effects in the universal mass case. • New CP phases!! The CP violation in B meson system may be detectable.

  26. CP violation in B meson

  27. Estimation of R decoupling: Maximal at non decoupling: Maximal at

  28. dependence

  29. Results Ambiguities of O(1) coefficients of V.

  30. Summary table of E6 predictions

  31. Discussions • Strictly speaking, when e.g. This can be consistent with the experiments, and the predictions can be changed. If we take , this model dependent parts can be neglected. No weak scale unstability!! • The other modes of B mesons (work in progress.)

  32. Ｓｕｍｍａｒｙ • In GUT, one basic hierarchy for Yukawa couplings results in various hierarchical structures for quarks and leptons including larger neutrino mixings. • Horizontal symmetry can easily reproduce the basic hierarchy, and suppress FCNC naturally in GUT. (not in SO(10) GUT) • The simpler unification of quarks and leptons explains the more questions. larger neutrino mixings SUSY flavor problem

  33. Summary Universal mass • Peculiar sfermion spectrum can be tested. • without unstability of weak scale. FCNC of 3rd generation becomes larger. • LFV ( ) and CP violation in B ( etc) may be detectable in future. • Poralization of final lepton can test the GUT scenario. Universal mass Different

  34. My guiding principle in building models • Consistency with the experiments • Natural explanations of observed values. • Natural solutions of various problems. • Predictability (Testability) is cared only after finding models because it is required by the human-side convenience. (prejudice)

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