Anomalous U(1) GUT. Introduction Anomalous U(1) GUT Horizontal symmetry Summary and Discussion. Toshifumi YAMASHITA (Kyoto University). 2004/12/7 @UC Irvine. SUSY?. Introduction. Higgs?. hierarchal Yukawa?. SUSY-GUT. fascinating extension of SM gauge coupling unification (GCU). - PowerPoint PPT Presentation
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Anomalous U(1) GUT
Toshifumi YAMASHITA
(Kyoto University)
2004/12/72004/12/7@UC Irvine@UC Irvine
IntroductionIntroductionAnomalous U(1) GUTAnomalous U(1) GUTHorizontal symmetryHorizontal symmetrySummary and Summary and DiscussionDiscussion
SUSY-GUT fascinating extension of SM
gauge coupling unification (GCU)
Introduction
Higgs? hierarchal Yukawa?
Proton decay?
SUSY?
•unifications of forces and of matter•charge quantization•stabilization of the weak scale
Introduction
The Hierarchy problem is solved. Gauge Coupling Unification
But ・・・ DT Splitting problem Proton decay (vs GCU) Fermion Yukawa SUSY flavor problem
U(1)A
Flavor Symm.
SUSY-GUT
Almost all the problem can be solved!!
: order of magnitude
• no fine-tuning• number of parameters
•all the possible interactions•order 1 coefficients
“generic interaction”
Anomalous U(1) GUT
Assumptions
a few ( # of fields) order of magnitude
( # in SM) : precise analysis
• : GUT singlet operator, : charge• : VEV of the Froggatte-Nielsen field•in a mass unit, the cutoff scale
vacuum structure
Anomalous U(1) GUT
Assumptions
mass term for and : factorization
<Z> may break GUT symmetry
•FN mechanism
•SUSY-zero mechanism
•“Natural Gauge Coupling UnificationDT SplittingDW VEV
“Generic interaction”
hierarchal Fermion Yukawa
proton decay
Anomalous U(1) GUT M.Bando N.Maekawa and T.Y.
Overview
Anomalous U(1) GUT
Example of E6 model PTP 107, 1201 (2002)N.Maekawa and T.Y.
Example of E6 model PTP 107, 1201 (2002)N.Maekawa and T.Y.
Horizontal Symmetry
How to break SUSY?
S.Martin Hep-ph/9709356
(1,2)-components of sfermion mass, , should be suppressed.
“SUSY flavor
problem”
PL B561, 273(2003)N.Maekawa
•degenerate•alignment•decoupling
given from in flavor basis by
non-Abelian horizontal symmetry
is in mass basis
If 1st and 2nd generations belong to a single multiplet, they can be degenerate.
Solutions to SUSY flavor problem
Horizontal Symmetry
degenerate
3rd should also be degenerate.
E-twisting
Even if , becomes large.
horizontal symmetry breaking
Horizontal Symmetry
Because fermion Yukawa is not symmetric.
The degeneracy is lifted by
Large mixing Large (1,2) element
SU(2)E
model
SU(2)E :
Horizontal Symmetry
PLB561, 273(2003)N.Maekawa
SU(2)H :
constraints
Horizontal Symmetry
RG factor :
(in MSSM)
model
Horizontal symmetry in Higgs sector
Horizontal Symmetry JHEP 0407 (2004) 009N.Maekawa and T.Y.
Inspired by the decomposition :
Summary and Discussion
“Anomalous U(1) GUT”
Non-abelian horizontal symmetry
A road toward realistic E8 Unification (?)
•DT Splitting through DW VEV•Realistic Fermion Yukawa•“Natural Gauge Coupling Unification”
•SUSY flavor problem can be solved.•Horizontal symmetry in Higgs sector.
•Low energy theory of string theory•Anomaly Green-Schwartz mechanism•Froggatte-Nielsen mechanism
Introduction
Anomalous U(1) Symmetry
Introduction
Anomalous U(1) Symmetry
Ex)
•Low energy theory of string theory•Anomaly Green-Schwartz mechanism•Froggatte-Nielsen mechanism
all come from and .
Anomalous U(1) GUT
sector in E6 model
massless :
large mixing
E-twisting
mild hierarchy in sector !!
mass
M.Bando and T.Kugo
Anomalous U(1) GUT
SUSY-zero mechanism
: analytic does not appear in .
Only positively charged operators can appear.
In the effective theory below ,
Anomalous U(1) GUT
SUSY-zero mechanism
Only positively charged operators can appear.
In the effective theory below ,
Ex) Adjoints of SO(10) :
Dimopoulos-Wilczek VEV DTS
Anomalous U(1) GUT
Gauge Coupling UnificationPRL 90, 121801 (2003)N.Maekawa and T.Y.
•We can calculate the Flows.
•When we recalculate the Flows by MSSM from the low energy values, three couplings meet at the cut-off scale if .•When , Proton Decay via Dim.5 operators are suppressed.