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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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