Statistical equations and methods applied to the precision muon (g - 2) experiment at BNL

G. W. Bennett; B. Bousquet; H. N. Brown; G. Bunce; R. M. Carey; P. Cushman; G. T. Danby; P. T. Debevec; M. Deile; H. Deng; W. Deninger; S. K. Dhawan; V. P. Druzhinin; L. Duong; E. Efstathiadis; F. J.M. Farley; G. V. Fedotovich; S. Giron; F. Gray; D. Grigoriev; M. Grosse-Perdekamp; A. Grossmann; M. Hare; D. W. Hertzog; X. Huang; V. W. Hughes; M. Iwasaki; K. Jungmann; D. Kawall; M. Kawamura; B. I. Khazin; J. Kindem; F. Krienen; I. Kronkvist; A. Lam; R. Larsen; Y. Y. Lee; I. B. Logashenko; R. McNabb; W. Meng; J. Mi; J. P. Miller; W. M. Morse; D. Nikas; C. J.G. Onderwater; Yu F. Orlov; C. Ozben; J. Paley; Q. Peng; C. Polly; J. Pretz; R. Prigl; G. zu Putlitz; T. Qian; S. I. Redin; O. Rind; B. L. Roberts; N. M. Ryskulov; S. Sedykh; Y. K. Semertzidis; P. Shagin; Yu M. Shatunov; E. P. Sichtermann; E. P. Solodov; M. Sossong; A. Steinmetz; L. Sulak; C. Timmermans; A. Trofimov; D. Urner; P. von Walter; D. Warburton; D. Winn; A. Yamamoto; D. Zimmerman

doi:10.1016/j.nima.2007.06.023

Statistical equations and methods applied to the precision muon (g - 2) experiment at BNL

G. W. Bennett, B. Bousquet, H. N. Brown, G. Bunce, R. M. Carey, P. Cushman, G. T. Danby, P. T. Debevec, M. Deile, H. Deng, W. Deninger, S. K. Dhawan, V. P. Druzhinin, L. Duong, E. Efstathiadis, F. J.M. Farley, G. V. Fedotovich, S. Giron, F. Gray, D. GrigorievM. Grosse-Perdekamp, A. Grossmann, M. Hare, D. W. Hertzog, X. Huang, V. W. Hughes, M. Iwasaki, K. Jungmann, D. Kawall, M. Kawamura, B. I. Khazin, J. Kindem, F. Krienen, I. Kronkvist, A. Lam, R. Larsen, Y. Y. Lee, I. B. Logashenko, R. McNabb, W. Meng, J. Mi, J. P. Miller, W. M. Morse, D. Nikas, C. J.G. Onderwater, Yu F. Orlov, C. Ozben, J. Paley, Q. Peng, C. Polly, J. Pretz, R. Prigl, G. zu Putlitz, T. Qian, S. I. Redin, O. Rind, B. L. Roberts, N. M. Ryskulov, S. Sedykh, Y. K. Semertzidis, P. Shagin, Yu M. Shatunov, E. P. Sichtermann, E. P. Solodov, M. Sossong, A. Steinmetz, L. Sulak, C. Timmermans, A. Trofimov, D. Urner, P. von Walter, D. Warburton, D. Winn, A. Yamamoto, D. Zimmerman

Research output: Contribution to journal › Article › peer-review

Abstract

In the muon (g - 2) experiment at Brookhaven National Laboratory, the spin precession frequency ω_a is obtained from a standard χ² minimization fit applied to the time distribution of decay electrons. The unusually high accuracy (∼ 0.5 ppm) of the experiment puts stringent requirements on the quality of the fit and the level of understanding of the statistical properties of the fitted parameters. We discuss the properties of the fits and their implications on the derived value for ω_a, including estimates of the effect of an imperfect fit function, methods of including additional external information to reduce the error, the effects of splitting the data into many smaller subsets of data, applying different weighting methods to the data using energy information, and various tests of data suitability.

Original language	English (US)
Pages (from-to)	1096-1116
Number of pages	21
Journal	Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Volume	579
Issue number	3
DOIs	https://doi.org/10.1016/j.nima.2007.06.023
State	Published - Sep 11 2007
Externally published	Yes

Keywords

Bias of fit parameters
Correlations
Set-subset variance
Statistical errors
Systematic errors
χ minimization fit

ASJC Scopus subject areas

Nuclear and High Energy Physics
Instrumentation

Online availability

10.1016/j.nima.2007.06.023

Library availability

Discover UIUC Full Text

Cite this

Bennett, G. W., Bousquet, B., Brown, H. N., Bunce, G., Carey, R. M., Cushman, P., Danby, G. T., Debevec, P. T., Deile, M., Deng, H., Deninger, W., Dhawan, S. K., Druzhinin, V. P., Duong, L., Efstathiadis, E., Farley, F. J. M., Fedotovich, G. V., Giron, S., Gray, F., ... Zimmerman, D. (2007). Statistical equations and methods applied to the precision muon (g - 2) experiment at BNL. Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, 579(3), 1096-1116. https://doi.org/10.1016/j.nima.2007.06.023

Statistical equations and methods applied to the precision muon (g - 2) experiment at BNL. / Bennett, G. W.; Bousquet, B.; Brown, H. N. et al.
In: Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, Vol. 579, No. 3, 11.09.2007, p. 1096-1116.

Research output: Contribution to journal › Article › peer-review

Bennett, GW, Bousquet, B, Brown, HN, Bunce, G, Carey, RM, Cushman, P, Danby, GT, Debevec, PT, Deile, M, Deng, H, Deninger, W, Dhawan, SK, Druzhinin, VP, Duong, L, Efstathiadis, E, Farley, FJM, Fedotovich, GV, Giron, S, Gray, F, Grigoriev, D, Grosse-Perdekamp, M, Grossmann, A, Hare, M, Hertzog, DW, Huang, X, Hughes, VW, Iwasaki, M, Jungmann, K, Kawall, D, Kawamura, M, Khazin, BI, Kindem, J, Krienen, F, Kronkvist, I, Lam, A, Larsen, R, Lee, YY, Logashenko, IB, McNabb, R, Meng, W, Mi, J, Miller, JP, Morse, WM, Nikas, D, Onderwater, CJG, Orlov, YF, Ozben, C, Paley, J, Peng, Q, Polly, C, Pretz, J, Prigl, R, zu Putlitz, G, Qian, T, Redin, SI, Rind, O, Roberts, BL, Ryskulov, NM, Sedykh, S, Semertzidis, YK, Shagin, P, Shatunov, YM, Sichtermann, EP, Solodov, EP, Sossong, M, Steinmetz, A, Sulak, L, Timmermans, C, Trofimov, A, Urner, D, von Walter, P, Warburton, D, Winn, D, Yamamoto, A & Zimmerman, D 2007, 'Statistical equations and methods applied to the precision muon (g - 2) experiment at BNL', Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment, vol. 579, no. 3, pp. 1096-1116. https://doi.org/10.1016/j.nima.2007.06.023

@article{3c69c5858a214dda959bc952b890663a,

title = "Statistical equations and methods applied to the precision muon (g - 2) experiment at BNL",

abstract = "In the muon (g - 2) experiment at Brookhaven National Laboratory, the spin precession frequency ωa is obtained from a standard χ2 minimization fit applied to the time distribution of decay electrons. The unusually high accuracy (∼ 0.5 ppm) of the experiment puts stringent requirements on the quality of the fit and the level of understanding of the statistical properties of the fitted parameters. We discuss the properties of the fits and their implications on the derived value for ωa, including estimates of the effect of an imperfect fit function, methods of including additional external information to reduce the error, the effects of splitting the data into many smaller subsets of data, applying different weighting methods to the data using energy information, and various tests of data suitability.",

keywords = "Bias of fit parameters, Correlations, Set-subset variance, Statistical errors, Systematic errors, χ minimization fit",

author = "Bennett, {G. W.} and B. Bousquet and Brown, {H. N.} and G. Bunce and Carey, {R. M.} and P. Cushman and Danby, {G. T.} and Debevec, {P. T.} and M. Deile and H. Deng and W. Deninger and Dhawan, {S. K.} and Druzhinin, {V. P.} and L. Duong and E. Efstathiadis and Farley, {F. J.M.} and Fedotovich, {G. V.} and S. Giron and F. Gray and D. Grigoriev and M. Grosse-Perdekamp and A. Grossmann and M. Hare and Hertzog, {D. W.} and X. Huang and Hughes, {V. W.} and M. Iwasaki and K. Jungmann and D. Kawall and M. Kawamura and Khazin, {B. I.} and J. Kindem and F. Krienen and I. Kronkvist and A. Lam and R. Larsen and Lee, {Y. Y.} and Logashenko, {I. B.} and R. McNabb and W. Meng and J. Mi and Miller, {J. P.} and Morse, {W. M.} and D. Nikas and Onderwater, {C. J.G.} and Orlov, {Yu F.} and C. Ozben and J. Paley and Q. Peng and C. Polly and J. Pretz and R. Prigl and {zu Putlitz}, G. and T. Qian and Redin, {S. I.} and O. Rind and Roberts, {B. L.} and Ryskulov, {N. M.} and S. Sedykh and Semertzidis, {Y. K.} and P. Shagin and Shatunov, {Yu M.} and Sichtermann, {E. P.} and Solodov, {E. P.} and M. Sossong and A. Steinmetz and L. Sulak and C. Timmermans and A. Trofimov and D. Urner and {von Walter}, P. and D. Warburton and D. Winn and A. Yamamoto and D. Zimmerman",

note = "Funding Information: This work is partially supported by the Russian Foundation for Basic Research, Grants 06-02-16156, 06-02-16445 and the U.S. National Science Foundation. ",

year = "2007",

month = sep,

day = "11",

doi = "10.1016/j.nima.2007.06.023",

language = "English (US)",

volume = "579",

pages = "1096--1116",

journal = "Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment",

issn = "0168-9002",

publisher = "Elsevier B.V.",

number = "3",

}

TY - JOUR

T1 - Statistical equations and methods applied to the precision muon (g - 2) experiment at BNL

AU - Bennett, G. W.

AU - Bousquet, B.

AU - Brown, H. N.

AU - Bunce, G.

AU - Carey, R. M.

AU - Cushman, P.

AU - Danby, G. T.

AU - Debevec, P. T.

AU - Deile, M.

AU - Deng, H.

AU - Deninger, W.

AU - Dhawan, S. K.

AU - Druzhinin, V. P.

AU - Duong, L.

AU - Efstathiadis, E.

AU - Farley, F. J.M.

AU - Fedotovich, G. V.

AU - Giron, S.

AU - Gray, F.

AU - Grigoriev, D.

AU - Grosse-Perdekamp, M.

AU - Grossmann, A.

AU - Hare, M.

AU - Hertzog, D. W.

AU - Huang, X.

AU - Hughes, V. W.

AU - Iwasaki, M.

AU - Jungmann, K.

AU - Kawall, D.

AU - Kawamura, M.

AU - Khazin, B. I.

AU - Kindem, J.

AU - Krienen, F.

AU - Kronkvist, I.

AU - Lam, A.

AU - Larsen, R.

AU - Lee, Y. Y.

AU - Logashenko, I. B.

AU - McNabb, R.

AU - Meng, W.

AU - Mi, J.

AU - Miller, J. P.

AU - Morse, W. M.

AU - Nikas, D.

AU - Onderwater, C. J.G.

AU - Orlov, Yu F.

AU - Ozben, C.

AU - Paley, J.

AU - Peng, Q.

AU - Polly, C.

AU - Pretz, J.

AU - Prigl, R.

AU - zu Putlitz, G.

AU - Qian, T.

AU - Redin, S. I.

AU - Rind, O.

AU - Roberts, B. L.

AU - Ryskulov, N. M.

AU - Sedykh, S.

AU - Semertzidis, Y. K.

AU - Shagin, P.

AU - Shatunov, Yu M.

AU - Sichtermann, E. P.

AU - Solodov, E. P.

AU - Sossong, M.

AU - Steinmetz, A.

AU - Sulak, L.

AU - Timmermans, C.

AU - Trofimov, A.

AU - Urner, D.

AU - von Walter, P.

AU - Warburton, D.

AU - Winn, D.

AU - Yamamoto, A.

AU - Zimmerman, D.

N1 - Funding Information: This work is partially supported by the Russian Foundation for Basic Research, Grants 06-02-16156, 06-02-16445 and the U.S. National Science Foundation.

PY - 2007/9/11

Y1 - 2007/9/11

N2 - In the muon (g - 2) experiment at Brookhaven National Laboratory, the spin precession frequency ωa is obtained from a standard χ2 minimization fit applied to the time distribution of decay electrons. The unusually high accuracy (∼ 0.5 ppm) of the experiment puts stringent requirements on the quality of the fit and the level of understanding of the statistical properties of the fitted parameters. We discuss the properties of the fits and their implications on the derived value for ωa, including estimates of the effect of an imperfect fit function, methods of including additional external information to reduce the error, the effects of splitting the data into many smaller subsets of data, applying different weighting methods to the data using energy information, and various tests of data suitability.

AB - In the muon (g - 2) experiment at Brookhaven National Laboratory, the spin precession frequency ωa is obtained from a standard χ2 minimization fit applied to the time distribution of decay electrons. The unusually high accuracy (∼ 0.5 ppm) of the experiment puts stringent requirements on the quality of the fit and the level of understanding of the statistical properties of the fitted parameters. We discuss the properties of the fits and their implications on the derived value for ωa, including estimates of the effect of an imperfect fit function, methods of including additional external information to reduce the error, the effects of splitting the data into many smaller subsets of data, applying different weighting methods to the data using energy information, and various tests of data suitability.

KW - Bias of fit parameters

KW - Correlations

KW - Set-subset variance

KW - Statistical errors

KW - Systematic errors

KW - χ minimization fit

UR - http://www.scopus.com/inward/record.url?scp=34547837357&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=34547837357&partnerID=8YFLogxK

U2 - 10.1016/j.nima.2007.06.023

DO - 10.1016/j.nima.2007.06.023

M3 - Article

AN - SCOPUS:34547837357

SN - 0168-9002

VL - 579

SP - 1096

EP - 1116

JO - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

JF - Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment

IS - 3

ER -

Statistical equations and methods applied to the precision muon (g - 2) experiment at BNL

Abstract

Keywords

ASJC Scopus subject areas

Online availability

Library availability

Related links

Fingerprint

Cite this