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Low Energy Tests of the Standard Model. * PAST. * PRESENT. * FUTURE. Emlyn Hughes Spin 2004 Trieste October 14, 2004. Electroweak Mixing Angle. e = g sin q w. Characterizes the mixing between the weak and EM interaction in the electroweak theory. 2. M w. 2. sin 2 q w = 1 -. M z.
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Low Energy Tests of the Standard Model * PAST * PRESENT * FUTURE Emlyn Hughes Spin 2004 Trieste October 14, 2004
Electroweak Mixing Angle e = g sinqw Characterizes the mixing between the weak and EM interaction in the electroweak theory 2 Mw 2 sin2qw = 1 - Mz
3 Types of Measurements * Electron scattering (parity violation) * Atomic parity violation * Neutrino physics (NC/CC cross section)
Parity Violation in Polarized Electron Scattering e- e- e- e- g Z unpolarized quarks or electrons or protons Parity conserving Parity violating
Parity Violation in the Electroweak Theory R L s - s APV = R L s + s g2 2 + q2 AW mZ 2AW AEM PV 2 ~ 2 ~ ~ A AEM 2 2 + e2 AW AEM q2 PV q2 A ~ 2 2 mZ
End Station A End Station A
SLAC Parity Experiments Detector e- Target High Energy (unpolarized) R L s - s APV = Parity-violating asymmetry R L s + s
Results on Parity Violation E80 ALR < 5 x 10-3at Q2 ~ 1.4, 2.7 GeV2 E95 ALR < 3.2 x 10-3at Q2 ~ 4 GeV2 Not sensitive to electroweak mixing in the Standard Model
First Measurements of Electroweak Mixing
SLAC E122 Detector e 16 – 22 GeV Liquid Deuterium GaAs source High current 30 cm target Dedicated run
120 Hz Reversed every few runs
SLAC E122 waveplate reversal Parity-violating asymmetry
SLAC E122 Energy Scan Parity-violating asymmetry
SLAC E122 Result (1978) sin2qw = 0.224 + 0.020 First definitive measurement of mixing between the weak and electromagnetic interaction
Atomic Parity Violation e- e- g or Z p 2 2 mea LR q2 -14 A ~ 2 ~ 2 10 ~ 2 2 mZ mZ
Experiment Z3 Law Heavy Atoms Theory PV Signal sin2qw Bismuth Z = 83
Atomic Parity Violation Bismuth
Atomic Parity Violation Bismuth
Atomic Parity Violation Bismuth
Atomic Parity Violation Bismuth E122
Neutrino Physics Bubble Chamber Gargamelle
HPWF Neutrino Detector (Harvard, Pennsylvania, Wisconsin, Fermilab)
(1977) (1977) (1975) (1977) 1978
TODAY... LEP and SLC e+e- collider Dsin2qw = 0.00016 (PDG2004) from Z pole measurements
Status in 1999 sin2qw ~5% Q (GeV)
SLAC Experiment E158 Detector e 50 GeV Liquid Hydrogen e-e- scattering s - s APV = s + s Without electroweak radiative corrections, 2 m E GF 16 sin q 1 ( ) - sin2qw APV = 2 4 2p (3 + cos q)2 In practice: APV ~ 1.5 x 10-7
E158 Collaboration • SLAC • Smith College • Syracuse • UMass • Virginia • UC Berkeley • Caltech • Jefferson Lab • Princeton • Saclay 7 Ph.D. Students 60 physicists Sept 97: EPAC approval 1998-99: Design and Beam Tests 2000: Funding and construction 2001: Engineering run 2002: Physics Runs 1 (Spring), 2 (Fall) 2003: Physics Run 3 (Summer)
Scattering Processes e- e- e- e- g Z e- e- e- e- Parity-conserving Parity-violating e- e- g g Background p p
Challenges I. Statistics II. Beam monitoring & resolution jitter vs. statistics III. Beam systematics false asymmetries IV. Backgrounds
target Detector cart Concrete shielding Spectrometer magnets Setup in End Station A
STATISTICS # electrons per pulse 107 Rep rate (120 Hz) 109 Seconds/day 1014 100 days 1016 DA ~ 10-8
toroid 30 ppm energy 1 MeV BPM 2 microns Agreement (MeV) BPM24 X (MeV) Resolution 1.05 MeV BPM12 X (MeV) Beam Monitoring Correlations
III. Beam Asymmetries Polarized source
SLOW REVERSALS * Halfwaveplate @ source ~few hours * 48 vs. 45 GeV energy ~ few days
APV vs. time ppb