theoretical and experimental considerations of past and future muon g-2 measurements
DESCRIPTION
Fundamental Interactions Trento/Italy, 21-25 June 2004. Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements. Yannis K. Semertzidis Brookhaven National Laboratory. ‡. Muon g-2 Collaboration. †. #. †. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/1.jpg)
Yannis K. SemertzidisBrookhaven National Laboratory
Fundamental InteractionsTrento/Italy, 21-25 June 2004
Bdtsd
Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements
![Page 2: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/2.jpg)
†
†
‡
#
Muon g-2 Collaboration
†Spokesperson ‡Project Manager # Resident Spokesperson
![Page 3: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/3.jpg)
Prof. Vernon W. Hughes (1921 2003)
![Page 4: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/4.jpg)
g - 2 for the muon
Largest contribution : 800
12
a
Other standard model contributions :
QED hadronic weak
![Page 5: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/5.jpg)
Theory of aµ
• aµ(theo) = aµ(QED)+aµ(had)+aµ(weak)
+ aµ(new physics)
• aµ(had) = aµ(had1) + aµ(had, HO) + aµ(had, LBL)
? -100.6 + 8.6 3.5 in units of 10-10
![Page 6: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/6.jpg)
Cannot be calculated from pQCD alonebecause it involves low energy scales.
Hadronic contribution (had1)
However, by dispersion theory,this a(had1) can be related to
)(e)(
e
hadronseeR
measured in e+e- collisions.or τ decay.
24 2
2
)()(3
)1,(
m
sRsKsdsm
hada
![Page 7: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/7.jpg)
Cannot be calculated from pQCD alonebecause it involves low energy scales.
Hadronic contribution (had1)
However, by dispersion theory,this a(had1) can be related to
)(e)(
e
hadronseeR
measured in e+e- collisionsor τ decay (assuming CVC).
24 2
2
)()(3
)1,(
m
sRsKsdsm
hada
![Page 8: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/8.jpg)
Evaluation of R
M. Davier et al., hep-ph/0208177.v3
![Page 9: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/9.jpg)
Evaluation of R
M. Davier et al., hep-ph/0208177.v3
![Page 10: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/10.jpg)
Difference between e+e- and
M. Davier et al., hep-ph/0208177.v3
![Page 11: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/11.jpg)
…Difference between e+e- and
M. Davier et al., Eur. Phys. J. C31, 503 (2003)
![Page 12: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/12.jpg)
• aμ(had1,e+e-)=(696.3±7.)×10-10
• aμ(had1,τ) =(711.0±6.)×10-10
e+e- based τ basedCorrect Correct τ-data interpr. wrongCorrect WrongWrong* CorrectWrong* Wrong T. Blum, hep-lat/0212018*Other (e+e-) collaborations are looking into it see, e.g., the
KLOE Collaboration, hep-ex/0210013
• aμ(exp)- aμ(SM, e+e-)=33.7(11)×10-10
• aμ(exp) -aμ(SM, τ) = 9.4(11)×10-10
M. Davier, hep-ph/0312065
Why?
![Page 13: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/13.jpg)
• aμ(had1,e+e-)=(696.3±7.)×10-10
• aμ(had1,τ) =(711.0±6.)×10-10
e+e- based τ basedCorrect Correct τ-data interpr. Wrong**Correct WrongWrong* CorrectWrong* Wrong *Other (e+e-) collaborations are looking into it, e.g., the
KLOE Collaboration confirmed their result.
• aμ(exp)- aμ(SM, e+e-)10
M. Davier, hep-ph/0312065
**e+e-0 +-, whereas τ-- -0, S.G., F.J., hep-ph/0310181
Issue not completely resolved yet…
![Page 14: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/14.jpg)
Theory of aµ
• aµ(theo) = aµ(QED)+aµ(had)+aµ(weak)
+ aµ(new physics)
• aµ(QED) = 11 658 470.6 (0.3) ×10-10
• aµ(had) = 694.9 (8.) ×10-10 (based on e+e-)
• aµ(had) = 709.6 (7.) ×10-10 (based on )
• aµ(weak) = 15.4 (0.3) ×10-10
• aµ(SM) = 11 659 181(8)×10-10 (based on e+e-)
• aµ(SM) = 11 659 196(7)×10-10 (based on )
![Page 15: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/15.jpg)
Theory and Experiment vs. Year
![Page 16: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/16.jpg)
Experimental Principle:
• Polarize:
• Interact:
• Analyze:
Parity Violating Decay
Precess in a Uniform B-Field
Parity Violating Decay ee
![Page 17: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/17.jpg)
Beamline:Polarized Muon Beam Production
![Page 18: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/18.jpg)
• The Muon Storage Ring: B ≈ 1.45T, Pμ≈3.09 GeV/c
• Inner Ring of Detectors
•High Proton Intensity from AGS
•Muon Injection
![Page 19: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/19.jpg)
Spin Precession in g-2 Ring(Top View)
Bmeaa
Momentumvector
Spin vector
![Page 20: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/20.jpg)
Spin Precession in g-2 Ring(Top View)
Bmeaa
Momentumvector
Spin vector
![Page 21: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/21.jpg)
4 Billion e+ with E>2GeV
aa
t
tAeNdtdN
cos1/ 0
![Page 22: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/22.jpg)
5-parameter Function Not Quite Adequate. Fourier Spectrum of the Residuals:
nff Ccbo 11
fg-2 ≈229 KHz fcbo≈466 KHz
Data of 2000,n = 0.137
![Page 23: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/23.jpg)
Amplitudes of AN, AA, A , Consistent with Values from MC Simulations (10-2, 10-3, 10-3 respectively)
Modulation of N0, A, with fcbo:
tttAetNdtdN aa
t
cos1/ 0
a
tfeAt cbo
t
aacbo 2cos)(
Ncbo
t
N tfeANtN cbo 2cos1)( 00
Acbo
t
A tfeAAtA cbo 2cos1)(
![Page 24: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/24.jpg)
2001 Run with Negative Muons
• In 2001 we have collected 3.7 Billion electrons with E>1.8GeV from a run with negative muons (μ-). Run at n=0.122 and n=0.142.
![Page 25: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/25.jpg)
Vertical vs. Horizontal Tune
![Page 26: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/26.jpg)
Systematic/Statistical Uncertainties for the ωa Analysis.
Systematic Uncertainties
Size [ppm]
Coherent Betatron Oscillations (CBO)Pileup (Overlapping Signals) Gain ChangesLost MuonsOthersTotal Systematics
0.07 0.080.120.090.110.210.66
0.21 0.130.120.100.080.310.62
2001 2000
Statistical Uncertainty
Total Uncertainty: 0.7 0.7
![Page 27: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/27.jpg)
Magnetic Field measurement
The B field azimuthal variation at the center of the storage region. <B>1.45 T
The B field averagedover azimuth.
![Page 28: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/28.jpg)
Magnetic Field MeasurementSystematic Uncertainties for the ωp Analysis.
Source of ErrorsSize [ppm]
Absolute Calibration of Standard ProbeCalibration of Trolley ProbeTrolley Measurements of B-fieldInterpolation with Fixed ProbesUncertainty from Muon DistributionOthersTotal
0.050.150.10 0.10 0.030.100.24
0.050.090.05 0.07 0.030.100.17
2001 2000
![Page 29: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/29.jpg)
Computation of aμ:
• Analyses of ωa and ωp are Separate and Independent (“Blind Analysis”). When Ready, only then, Offsets are Removed and aμ is Computed.
pap
paa
Bme
a
///
![Page 30: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/30.jpg)
Computation of aμ:
R
R
Bm
eapap
paa
///
Data of 2001:aμ(exp)=11 659 214(8)(3)×10-10 (0.7 ppm)
(26) 3 208 707 0.003 / paR
(10) 39 345 3.183 / p W.L. et al., PRL 82, 711 (1999)
![Page 31: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/31.jpg)
Average of aμ:
Exp. World Average:aμ(exp)=11 659 208(6)×10-10 (0.5 ppm)
aμ(exp)- aμ(SM) = 27 (10)×10-10, 2.7σ, based on e+e- data
aμ(exp)- aμ(SM) = 12 (9) ×10-10, 1.4σ, based on -data
CPT? 910)4.35.3( RRR
![Page 32: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/32.jpg)
G.B. et al., hep-ex/0401008, PRL in Press
![Page 33: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/33.jpg)
Recent KLOE Results
![Page 34: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/34.jpg)
• aµ(had, LBL) = +8.6(3.5)10-10 Large N QCD+Chiral
• aµ(had, LBL) = +13.6(2.5)10-10 Melnikov + Vainshtein
• aµ(had, LBL) = +11.1(1.7)10-10 Dubnicka et al
• aµ(had, LBL) = +9.2(3.0)10-10 T+Ynd.
• aµ(had, LBL) = +11.0(2.0)10-10 W. Marciano, prelim.
• Use +12.0(3.5)10-10 WM
• aµ(QED) = 11 658 472.07(0.04)(0.1)10-10 Recent Kinoshita Update
Recent Developments in Theory
![Page 35: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/35.jpg)
• aµ(had,1) = 696.3(6.2)(3.6)×10-10 DEHZ
• aµ(had,1) = 696.2(5.7)(2.4)×10-10 HMNT
• aµ(had,1) = 694.8 (8.6) ×10-10 GJ
• aµ(had,1) = 692.4(5.9)(2.4)×10-10 HMNT inclusive
• aµ(had,1) = 693.5(5.0)(1.0)×10-10 TY
• Use = 694.4 (6.2)(3.6)×10-10 WM
• aµ(SM) = 11 659 184.1 (7.2)VP (3.5)LBL (0.3)EW,QED ×10-10
• aµ(Exp) = 11 659 208.0 (5.8)×10-10
aµ= aµ(Exp) - aµ(SM) = 23.9 (9.9)×10-10 or 2.4 deviation
Recent Developments in had1
![Page 36: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/36.jpg)
Beyond standard model, e.g. SUSY
tanGeV1001013sgn2
susy
10susy
ma
W. Marciano, J. Phys. G29 (2003) 225
![Page 37: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/37.jpg)
Current Status and Future Prospects
![Page 38: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/38.jpg)
SUSY Dark Matter
Following Ellis,Olive, Santoso,Spanos. Plot by K. Olive
![Page 39: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/39.jpg)
SUSY Dark Matter
Following Ellis,Olive, Santoso,Spanos. Plot by K. Olive
![Page 40: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/40.jpg)
SUSY Dark Matter
Following Ellis,Olive, Santoso,Spanos. Plot by K. Olive
Upper Limits onSUSY Mass Scalesare set by Muon g-2
![Page 41: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/41.jpg)
Planning a New Run ~2006. Goal ~0.2ppm
• Use Backward Muons (i.e. P @ 5.3GeV/c, P @ 3.1GeV/c). Provides great -Rejection.
• Increase Beamline acceptance (4)
• Open up the two Inflector ends (1.7)
• Studying two methods of data taking: a) Charge Integration, b) Record Individual pulses
![Page 42: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/42.jpg)
Improvements…
• Backward Muons: no Light Flash at Injection; Improves Gate-on Times and Gain Effects.
• RF-Scraping to Reduce Muon Losses and the CBO Amplitude.
• Charge Integration: Immune to Pileup and Gain Changes. New method, needs study…
![Page 43: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/43.jpg)
• Experimental measurement of the anomalous magnetic moment of negative muons to 0.7 ppm.
• Combined with the positive muon result: 0.5ppm
• More data from the theory front are/will be analyzed: Novosibirsk, KLOE, BaBar, Belle.
• The g-2 collaboration is working towards reducing the experimental error by a factor of ~2.
Prospects and Summary
![Page 44: Theoretical and Experimental Considerations of Past and Future Muon g-2 Measurements](https://reader035.vdocuments.mx/reader035/viewer/2022062811/56815fd9550346895dcede25/html5/thumbnails/44.jpg)
SUSY: EDM, MDM and Transition Moments are in Same Matrix