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Weak Mixing Angle and EIC. Yingchuan Li. INT Workshop on Pertubative and Non-Pertubative Aspects of QCD at Collider Energies Sep. 17th 2010. 2. BNL LDRD Electroweak Physics with an Electron-Ion Collider Deshpande, Kumar, Marciano, Vogelsang. STUDY GOALS

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Weak Mixing Angle and EIC

Yingchuan Li

INT Workshop on Pertubative and Non-Pertubative Aspects of QCD at Collider Energies

Sep. 17th 2010

bnl ldrd electroweak physics with an electron ion collider deshpande kumar marciano vogelsang

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BNL LDRDElectroweak Physics with an Electron-Ion ColliderDeshpande, Kumar, Marciano, Vogelsang

STUDY GOALS

  • DIS & Nuclear Structure Functions (,Z,W) (Beyond HERA)
  • ARL,sin2W(Q2), Radiative Corrections, “New Physics”
  • Lepton Flavor Violation: eg epX
outline
Outline
  • Why is EW precision physics important?
  • The past, present, and future (EIC) of
  • Summary.
standard model

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Standard Model
  • SM of particle physics

Higgs mechanism

  • Strong sector: right and complete, hard to solve;
  • EW sector: still not sure about how EW symmetry breaking happens
scenarios of higgs mechanism
Scenarios of Higgs mechanism
  • Fundamental Higgs: hierarchy problem
  • SUSY;
  • Extra Dim;
  • Higgsless models;
  • Technicolor;
  • Composite Higgs as a PGB;
  • Georgi-Kaplan model;
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To ping down the EW symmetry breaking

  • Direct search at high energy collider
  • SM Higgs;
  • SUSY particles;
  • KK modes;
  • other exotics;

Major motivation for LHC!

See talk by Del Duca on Wed.

  • Indirect searchs via precision tests
  • Z-pole measurements;
  • Low energy tests of neutral current;

What can EIC do on this?

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EW sector with SM Higgs

  • Three para. (g,g’,v) determine properties of EW gauge bosons
  • Masses:
  • EM coupling:
  • Charged current:
  • Neutral current:

Higgs and top mass enters at loop level !

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EW precision tests: three best measured

  • Fine structure constant:

Electron anomalous magnetic moment

  • Fermi constant:

Muon life time

  • Z boson mass:

LEP

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The hunt for

  • Prediction within SM
  • Z-pole experiment measurements:

3 sigma difference!

Correct?

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The implications of

  • World average:

Consistent with LEP bound (MH>114 GeV)

Suggestive for SUSY

(MH<135 GeV)

Rule out most technicolor models

Satisfied and happy?

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The implications of

  • SLAC result:

+ mW=80.398(25) GeV

Ruled out by LEP bound (MH>114 GeV)

Consistent with LEP bound (MH>114 GeV)

Suggestive for SUSY

Suggestive for technicolor models

  • CERN result:

+ mW=80.398(25) GeV

Very different implication! We failed to nail weak mixing angle!

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Other evidence of

  • Low energy measurements probe 4-fermion interactions:
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Other evidence of : neutrino scattering

  • Neutrino-lepton elastic scattering:
  • probe
  • CHARM II:
  • Neutrino-nucleon DIS:
  • Paschos-Wolfenstein ratio
  • probe
  • NuTeV:

Rad. Corr.? Nuclear charge symmetry breaking?

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Other evidence of : Atomic PV

  • Weak charge:
  • SM:
  • 1990:
  • 1999:
  • 2008:
  • 2009:

Consistent with Z pole measurement!

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Other evidence of : Moller scattering

  • E158 at SLAC:
  • Pol. Electron (E=50 GeV) on fixed target:
  • Meaure to 12%, extract to 0.6%

Establish the running of mixing angle (together with APV) to 6 sigma.

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Future effort to nail

  • QWEAK exp. At JLAB: ep ep;
  • Polarized Moller at JLAB: ee ee;
  • Polarized eD (fixed target) DIS at JLAB (6 & 12 GeV);
  • Polarized ep & eD collider;

Goal: 0.1% accuracy

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Future effort: QWEAK & Moller

  • QWEAK at JLAB:
  • Electron (E=1.1 GeV) on fixed target:
  • Polarized electron beam:
  • Meaure to 4%, extract to 0.3%
  • Moller at JLAB:
  • Electron on fixed target after 12 GeV upgrade;
  • Measure to 2.5%, extract to 0.1%
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Future effort: eD DIS

  • eD (fixed target) DIS:
  • Advantage: extract
  • High luminosity:
  • eD(p) collision DIS:
  • Larger asymmetry at higher Q-square;
  • Lower luminosity ( );
  • Both electron and deuteron (proton) are polarized;
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E-Ion collider: double asymmetry

  • Polarized e:
  • Polarized p or D:
  • Both e & p (D) polarized:
  • Effective polarization:

Larger!

Smaller!

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Summary

  • Precision tests are very important in revealing the physics behind EW symmetry breaking among other things.
  • The most precise (0.1%) measurement at Z pole of still has 3 sigma difference.
  • Another future measurement of with 0.1% precision is demanded.
  • The EIC may add new twist to it!

Thank you !!!

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