Electroweak Symmetry Breaking and Triple Gauge Coupling...
Transcript of Electroweak Symmetry Breaking and Triple Gauge Coupling...
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Electroweak Symmetry Breaking and Triple Gauge
Coupling Measurements
Electroweak Symmetry Breaking and Triple Gauge
Coupling MeasurementsNCTS, Theory Division
Qi-Shu Yanwith S. Dutta, K. Hagiwara, K. Yoshida
NCTS, Theory DivisionQi-Shu Yan
with S. Dutta, K. Hagiwara, K. Yoshida
NTHU, 14:00-15:00, 22, March, 2007
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NTHU, Seminar, Q.S. Yan - Constraints on the EWCL from the precision data 2
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Mass Origin and the Elctroweak Symmetry Breaking MechanismThree generationsToo many free parametersNo dark matter candidate…
Mass Origin and the Elctroweak Symmetry Breaking MechanismThree generationsToo many free parametersNo dark matter candidate…
The SM is an effective description of a fundamental theory!
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EWSB and S ParameterEWSB and S Parameter
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How conclusively precision data can rule out QCD-like
dynamics for EWSB sector?
How conclusively precision data can rule out QCD-like
dynamics for EWSB sector?
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Triple Gauge CouplingsTriple Gauge CouplingsExamining the non-Abelian
structure of the SMMeasuring the size of weak
bosonsRemoving bkgd for new physics…
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OutlineOutline
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S in QCD-like Theories S in QCD-like Theories
S parameter is postive!
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Precision of S in EvolutionPrecision of S in Evolution1990(2)
2004
1999
2006PDG
TT
SSˆ129
ˆ119
=
=
S parameter is negative!
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Theoretical Effort for Solution Theoretical Effort for Solution
Produce a negative S in TCsInclude extra vector bosonsDecrease TExtra DimensionsADS/CFT…
Produce a negative S in TCsInclude extra vector bosonsDecrease TExtra DimensionsADS/CFT…
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Shortages in Experimental Uncertainty Analysis
Shortages in Experimental Uncertainty Analysis
It is necessary to have an integrated and general analysis with two-, three-, and four-point functions data.
Model independent analysis is favored!
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What’s New in this Talk?What’s New in this Talk?
S can be either positive or negative!!
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2 Introduction to the EWCL2 Introduction to the EWCL
14 free parameters form the parameter space of the EWCL
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OperatorsOperatorsTwo
PointFunction Four
Point function
ThreePointFunction
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Bosonic VerticesBosonic Vertices
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EWCL in Effective Field Theory
EWCL in Effective Field Theory
We expect that S parameter should be a running parameter!
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Running Allowed by QFTRunning Allowed by QFT
We assume that perturbation method could be valid from Mz to UV Cutoff with only dimension 2 and 4 operators.
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3 RGEs3 RGEs
Dimensional regularization,Background field method,Feynman-’t Hooft gauge,Modified MS,Heat kernel method
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Check PointsCheck Points
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4 Precision Data and Bounds4 Precision Data and Bounds
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Precision Data of STUPrecision Data of STU
Inputs and formula to determine the two point chiral coefficients
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Precision Data of STUPrecision Data of STU
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Precision Data of TGCPrecision Data of TGC
Proof of Non-Abelian Structure of the SM
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Precision Data of TGCPrecision Data of TGC
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Bounds of QGCBounds of QGC
5 conditions (J=0 channel) to fix 5 free parameters
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Chiral Coefficients in EWCLChiral Coefficients in EWCL
TGC errors are two order larger than those oftwo-point chiral coefficients
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5 Uncertainty in S-T 5 Uncertainty in S-T TGCCase1
TGCCase
2
TGCCase3
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Uncertainty in TUncertainty in T
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SummarySummary
22.0)52.0(40.020.0)02.0(08.0
±++=±−−=
Λ
Λ
TS
When TGC & QGC uncertainty is taken into account
14.0)50.0(38.010.0)11.0(17.0
±++=±−−=
Λ
Λ
TS
When TGC & QGC uncertainty isn’t taken into account
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6 Conclusions6 Conclusions
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BackupBackup
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DiscussionsDiscussions
Should S parameter run?
Subtracted dispersion relation without custodial symmetry
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Power counting problemPower counting problem
If the derivative power counting rule doesn’t hold, our results are the most conservative perturbation calculation.
• High order operators can affect STU and TGC fitting and QGC bounds significantly. Effective description might break down.• High order operators can affect the RGEs running dramatically, especially near the UV region.