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Yingchuan Li
Weak Mixing Angle at Electron-Ion Collider
DIS 2011, Newport News, VA
Collaboration with William Marciano
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Outline2
• Conclusion
• Prospects of measuring weak mixing angle at EIC
• Introduction
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3
EW symmetry breaking: still a big puzzle !
• So many models:
Higgsless: Technicolor
Composite Higgs: Georgi-Kaplan model, Little Higgs, Gauge-Higgs Unification
Hungary for Experimental Data!
Fundamental Higgs: SUSY, Extra Dim., RS…
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44
To ping down the EW symmetry breaking
• Indirect searchs via precision electroweak
• Direct search at high energy collider KK modes; SM Higgs;
Vital role in the establishment of the next model;
SUSY particles; other exotics;
What can EIC do on this?
Play important role in the establishment of SM;
Major motivation for LHC!
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55555
The hunt for
Correct?
• Prediction within SM
)16(23125.0)(sin :Average World
)29(23193.0)(sin :CERN
)26(23070.0)(sin :SLAC
2
2
2
msZW
msZW
msZW
M
M
M
• Z-pole measurements:
W2sin
)](1[24)(sin
22
HZmsZW MrMG
M
3 sigma difference!
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666666
The implications of
• World average:
W2sin
)10(13.0 GeV; 85 3928
SM H
)16(23125.0)(sin 2 msZW M
Rule out most technicolor
models
Consistent with LEP
bound (MH>114
GeV)
Suggestive for SUSY
(MH<135 GeV)
Satisfied and happy?
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The implications of
• CERN result:
W2sin
45.0 GeV; 450 300190
SM H
)29(23193.0)(sin2 msZW M
Suggestive for technicolor
models
Consistent with LEP
bound (MH>114
GeV)
• SLAC result:12.0 GeV; 30 33
18 SM H
)26(23070.0)(sin2 msZW M
Suggestive for SUSY
Ruled out by LEP bound (MH>114
GeV)
+ mW=80.398(25) GeV
+ mW=80.398(25) GeV
Very different implication! We failed to nail weak mixing angle!
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8888888888
Past and currently planed experiments:
Where does EIC stand?
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9999999999
Weak mixing at EIC
• The ugly:
Large uncertainty with the polarized PDFs;
High energy:
higher asymmetry, wide coverage of Q.
• The good: Both beam polarized;
Low luminosity ( ) compared to fixed target experiments ;
• The bad:-1-235,34,33 sec cm 10
Large uncertainty (5%) with the hadron beam polarization;
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10101010101010101010
Weak mixing at EIC
• How to control the systematic error?
• What is the statistical error with reasonable luminosity?
• What are the good asymmetries?
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1111
Single-spin asy. with polarized electron
•Simplified for ed-DIS:
PDF drops out for isosinglet
•For ep-DIS:
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1212
Single-spin asy. with polarized hadron
•For ed-DIS:
•For ep-DIS:
Large uncertainty with hadron polarization and polarized PDF
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Effective polarization: the trick learned from Moller scattering
•Take advantage of effective polarization:
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1414
Double-spin asymmetry
•Simplified for e-d at kinematic region with y->1:
•Double-spin asymmetry:
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1515
Good asymmetries
•e-d collider:
•e-p collider:
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171717
Monte Carlo simulation: asymmetries
•single-spin asymmetry in ed-DIS:
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191919
Monte Carlo simulation: Figure of merit
•Figure of merit for ed-DIS:
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212121
Monte Carlo simulation: statistical error
•Statistical error for ed-DIS:
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22222222222222222222
Past, currently planed, and EIC experiments:• Weak mixing probed at wide range of Q at EIC:
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232323
Summary
• Precision tests are very important probe of BSM complementary to LHC.
Thank you !!!Thank you !!!
W2sin• EIC has good chance to measure over a wide
range of Q with statistical error similar to Z-pole experiments.
• It is highly desirable to have another experiment on weak mixing angle given the 3 sigma difference in two Z-pole experiments.