Probing flavor structure in Probing flavor structure in unified theory with scalar unified theory with scalar spectroscopy spectroscopy June 21, 2007, Supersymmetry in 2010’s Supersymmetry in 2010’s @Conference Hall, Hokkaido University @Conference Hall, Hokkaido University Kentaro Kojima (Kyushu univ.) Kentaro Kojima (Kyushu univ.) K. Inoue (Kyushu univ.), K. K, and K. Yoshioka (Kyoto univ.) [ar K. Inoue (Kyushu univ.), K. K, and K. Yoshioka (Kyoto univ.) [ar Xiv:hep-ph/0703253] Xiv:hep-ph/0703253] “ Probing flavor structure in unified theory with scalar spectros Probing flavor structure in unified theory with scalar spectros copy” copy” Based on Based on
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Probing flavor structure in unified theory with scalar spectroscopy
Probing flavor structure in unified theory with scalar spectroscopy. June 21, 2007, Supersymmetry in 2010’s @Conference Hall, Hokkaido University Kentaro Kojima (Kyushu univ.). Based on. K. Inoue (Kyushu univ.), K. K, and K. Yoshioka (Kyoto univ.) [arXiv:hep-ph/0703253] - PowerPoint PPT Presentation
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Probing flavor structure in unified Probing flavor structure in unified theory with scalar spectroscopytheory with scalar spectroscopy
June 21, 2007,
Supersymmetry in 2010’sSupersymmetry in 2010’s@Conference Hall, Hokkaido University@Conference Hall, Hokkaido University
Kentaro Kojima (Kyushu univ.)Kentaro Kojima (Kyushu univ.)
K. Inoue (Kyushu univ.), K. K, and K. Yoshioka (Kyoto univ.) [arXiv:hep-ph/0703253]K. Inoue (Kyushu univ.), K. K, and K. Yoshioka (Kyoto univ.) [arXiv:hep-ph/0703253]
““Probing flavor structure in unified theory with scalar spectroscopy”Probing flavor structure in unified theory with scalar spectroscopy”
Based on Based on
2Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
IntroductionIntroduction
Terascale direct searches in near future experiments: Terascale direct searches in near future experiments: LHC, ILC,LHC, ILC, ……
Discovery of SuperparticlesDiscovery of Superparticles
• SUSY breakingSUSY breaking• Grand Unified TheoryGrand Unified Theory• Origin of flavorOrigin of flavor• ・・・・・・
e.g. GUT relation for gaugino masses e.g. GUT relation for gaugino masses
generation dependent matter embedding into GUT multiplets generation dependent matter embedding into GUT multiplets
Generation redundancy Generation redundancy for anti-decoupletsfor anti-decouplets
6Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
Generation redundancy and induced scalar non-Generation redundancy and induced scalar non-degeneracydegeneracy
generation twist angeneration twist angles for gles for φφii
have same charge, but have different chargedifferent chargeand
Above the GUT scale, Above the GUT scale, generation dependent scalar non-generation dependent scalar non-
degeneracydegeneracy is induced is induced through through GU/G SM gauge interaction gauge interaction
generation generation dependent!!dependent!!
b.c. at a high-scaleb.c. at a high-scale RG induced effectsRG induced effects D-term of brokenD-term of brokengauge sym.gauge sym.
7Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
• D-term D-term correctionscorrections
[Drees, ’86; Kawamura, Murayama, Yamaguchi, ‘94]
multiple D-term correction is spanned by Cartan generators of
• RG effects above the GUT scaleRG effects above the GUT scale[Kawamura, Murayama, Yamaguchi, ‘94, Polonsky, Pomarol, ‘95]
(no intermediate scales)
characterized by quadratic Casimir invariantcharacterized by quadratic Casimir invariant
induced scalar non-degeneracy is directly connected to induced scalar non-degeneracy is directly connected to GGUU//GG SMSM charges, whic charges, which is parametrized by θh is parametrized by θ ii
Twist angles can be probed with the observed non-degeneracyTwist angles can be probed with the observed non-degeneracy
8Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
ContentsContents
• IntroductionIntroduction
• Matter embedding into grand unified modelsMatter embedding into grand unified models
• Probing unified flavor structure with scalar Probing unified flavor structure with scalar spectroscopyspectroscopy
• Summary and DiscussionsSummary and Discussions
9Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
Relations between observables and twist anglesRelations between observables and twist angles
three 27-plets as the fundamental matter multipletsthree 27-plets as the fundamental matter multiplets
(SU(5) decomposition)(SU(5) decomposition)
RHS: observablesRHS: observablesindependent of high-energy mass parametersindependent of high-energy mass parameters
• Dominant U(1)Dominant U(1)XX D-term case D-term case
(MSSM gauge dependent RG effects)
• General case (including D-term corrections and RG effects)General case (including D-term corrections and RG effects) Yukawa Yukawa dependent dependent MSSM RG MSSM RG effectseffects
•negligible for small tanβnegligible for small tanβ•numerically calculable numerically calculable
10Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
Probing into unified flavor structure with scalar spectroscopy Probing into unified flavor structure with scalar spectroscopy
• D-term dominated caseD-term dominated case • General caseGeneral case
constraints from FCNC processes rather constraints from FCNC processes rather depend on the forms of Yukawa matricesdepend on the forms of Yukawa matrices
generation twisting is consistent with generation twisting is consistent with FCNCFCNC
14Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
generation twisting andgeneration twisting and large 2large 2ndnd and 3 and 3rdrd generation mixing generation mixing in charged lepton sector enhance τ→μγ process as reachin charged lepton sector enhance τ→μγ process as reach
able in near future experimentsable in near future experiments
In general, generation twisting enhances FCNC processes and In general, generation twisting enhances FCNC processes and flavor violation searches may give us implication of generation flavor violation searches may give us implication of generation
twistingtwisting
15Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
16Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
appendixappendix
17Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
18Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
Relation between observations and twist anglesRelation between observations and twist anglese.g. GU=E6: three 27-plets as the fundamental matter multipletsthree 27-plets as the fundamental matter multiplets
(SU(5) decomposition)
Dominant U(1)Dominant U(1)XX D-term case D-term case
Dominant U(1)Dominant U(1)ZZ D-term case D-term case
General case (including D-term corrections and RG effects)General case (including D-term corrections and RG effects)
Yukawa dependent MSSM RG effects
•negligible for small tanβ•numerically calculable
gauge gauge dependent dependent MSSM RG MSSM RG effects are effects are canceled outcanceled out
19Supersymmetry in 2010’s, K. KojimaSupersymmetry in 2010’s, K. Kojima
Lepton flavor violating processLepton flavor violating process
Large 2-3 entry of Ye RGE between RGE between induces large 2-3 mixing induces large 2-3 mixing in slepton mass matricesin slepton mass matrices