qed tests

Theanomalousmagneticmoment Secondorder:a= 21 800 •Higherordercontibutions: QED Hadronic WeakTheanomalousmagneticmoment Theanomalousmagneticmoment W.Marciano,J.Phys.G29(2003)225 Theanomalousmagneticmoment •ContributionstoA3(72graphs): •891diagramscontributetoA4... Theanomalousmagneticmoment aµ(theo)=aµ(QED)+aµ(had)+aµ(weak)(+aµ(newphysics)?) aµ(QED)=11658470.6(0.3)×10-10 aµ(had)= 694.9(8.)×10-10(basedone+e-) aµ(had)= 709.6(7.)×10-10(basedonτ) aµ(weak)= 15.4(0.3)×10-10 aµ(SM)=11659181(8)×10-10(basedone+e-) aµ(SM)=11659196(7)×10-10(basedonτ) Morerecentvalue:aµ=11659179.5(5.9)×10-10 deRaphael,Miller,Roberts,ReportsonProgressinPhysics S.EidelmanICHEPconference,July2006 ThePrincipleofthemuong-2measurement Non-relativisticcase FlavouratLHCera,7November,2005Spinvector •BMomentumvector ThePrincipleofthemuong-2measurement SpinPrecessioninRing(TopView) Momentumvector Spinvector BNLMuonStorageRing BNLMuonStorageRing B=1.45T,P(µ)=3GeV/c-HighProtonIntensityfromAGS Detectorsandvacuumchamber EnergySpectrumofDetectedPositrons YannisSemertzidis,BNLMomentum vector Spinvector Momentum vector Spinvector SoftwareEnergyThreshold Muong-2measurement 4Billione+withE>2GeV Muong-2measurement •BNLmeasurement:aµ=0.00116592080(63)-0.54ppm Phys.Rev.D73,072003-1(2006) •Theory: aµ=0.00116591795(59)-0.51ppm deRaphael,Miller,RobertsReportsonProgressinPhysics S.EidelmanICHEPconference,July2006 •exp-theory=0.00000000285(86) 2.44±0.74ppm-3.3sigma! •TestofCPT:compareaµ-andaµ+: ➣Rµ+=0.0037072047(26) ➣Rµ-=0.0037072083(26) ➣dR=Rµ--Rµ+=(3.6±3.7)·10-10 (λ=3.18334539(10)-muon-to-protonmagneticmomentratio)a=R −R Muong-2measurement G.B.etal.,Phys.Rev.Lett.92:161802,2004,hep-ex/0401008 APenningtrap APenningtrap DrawingofaschematicPenningTrapforthestorageofchargedparticles bytheuseofaconstantelectricfield(blue),generatedbya quadrupole(a:endcaps)and(b:ringelectrode)andasuperposed constantandhomogeneousmagneticfield(red),generatedbya toroidialmagnet(c).Aparticle,indicatedinred(herepositive)isstored inbetweencapsofthesamepolarity.Theparticleistrappedinsidea vacuumchamber OneelectroninaPenningtrap Geonium:boundelectron,toexternaldevice •Magnetronmotion:~12kHz •Axialoscillation:~200MHz •Cyclotronmotion:~153GHz CylindricalPenningTrap G.GabrielseandF.C.MacKintosh; Int.J.MassSpec.IonProc.57,1(1984) OneElectroninaMagneticField B~6Tn=0n=1n=2n=3n=4 0.1µm2|ψ|2 0.1µm|ψ|2 Needlow temperature T<<7.2Khωc=7.3K ElectroninCyclotronGroundState 0.23 0.11 0.03 9x10-39Measurementdoneatlowtemperature:~0.07K S.PeilandG.Gabrielse,Phys.Rev.Lett.83,1287(1999). Averagenumberofblackbody photonsinthecavity Geoniumenergylevels BasicIdeaoftheFully-QuantumMeasurement SpecialRelativityShifttheEnergyLevels Inreality... BinFreeSpacePerfectElectrostatic QuadrupoleTrapImperfectTrap •tiltedB •harmonic distortionstoV 2s cg n n='c cnn<cn 'z cnn= m znn=zn mnceB mn= 2s cg n n= 2s cg n n= Brown-Gabrielseinvariancetheorem: Themeasurement •Measurelowestcyclotronandspinstates/transitions: Themagneticbottle •Magneticbottlefield: ➣CouplestheaxialfrequencyomegaZtothe cyclotronandspinoscillations. ➣SmallmeasurableshiftinomegaZindicates achangeincyclotronorspinenergylevels B Onequantum cyclotronexcitation Spin-flipB=B2[z2 −2 z−z] H=1 2mz2 z2 −B2z2 Axialresonnance TheOne-ParticleSelf-ExcitedOscillator Measureaxialoscillationthrough One-ParticleSelf-Excited Oscillator •DigitalSignalProcessor: ➣Realtimefouriertransformsto measureoscillation ➣Feedbacktoendcapstodrive SEO(adjustgainsooscillation unchanged) "Single-ParticleSelf-excitedOscillator" B.D'Urso,R.VanHandel,B.Odom,G.Gabrielse,Phys.Rev.Lett.94,113002(2005). electron(g-2)measurement •Preparen=0,m=1/2->measureanomalytransition •Preparen=0,m=1/2->measurecyclotrontransition cyclotron anomaly n=0n=1n=2n=3 n=0n=1n=2 ms=-1/2ms=1/2 Measurementofthemagneticmoment g/2=1.00115965218085(76) B.Odom,D.Hanneke,B.D’Urso,G.Gabrielse,Phys.Rev.Lett.97,030801(2006). ➣Firstimprovedmeasurementsince1987 ➣Nearlysixtimessmalleruncertainty ➣1.7standarddeviationshift ➣Likelymoreaccuracycoming ➣1000timessmalleruncertaintythanmuong DeterminationoftheFineStructureConstant theoreticaluncertainties experimentaluncertaintyae=C1 C2 2 C3 3 C4 4 a =1 40e2 ℏc QEDcaluculationWeak/strongcontribution DeterminationoftheFineStructureConstant α=137.035999710(96) ࣩG.Gabrielse,D.Hanneke,T.Kinoshita,M.Nio,B.Odom,Phys.Rev.Lett.97,030802 (2006). α=137.035999710(96) α=137.0360000(11) α=137.03599884(91) α=137.03599880(52) CPTconservation •Fromapreviousmeasurement: ➣VanDyck,Schwinberg,Dehemelt,Phys.Rev.Lett.59,26(1987) •TestofCPTconservation: ge−.−ge. gaverage=0.5±2.1⋅10−12 TheQuantumHallEffect •TheclassicalHallEffect •TheQuantumHallEffectina2D-ElectronGasinaMOSFET: TheQuantumHallEffect •Landallevels Clicktoaddtitle