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

^*Bu çalışma için yazışmadan sorumlu yazar

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

13 Atıf (Scopus)

Özet

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.

Orijinal dil	İngilizce
Sayfa (başlangıç-bitiş)	1096-1116
Sayfa sayısı	21
Dergi	Nuclear Instruments and Methods in Physics Research, Section A: Accelerators, Spectrometers, Detectors and Associated Equipment
Hacim	579
Basın numarası	3
DOI'lar	https://doi.org/10.1016/j.nima.2007.06.023
Yayın durumu	Yayınlandı - 11 Eyl 2007
Harici olarak yayınlandı	Evet

Finansman

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.

Finansörler	Finansör numarası
National Science Foundation
Russian Foundation for Basic Research	06-02-16445, 06-02-16156

Belgeye Erişim

10.1016/j.nima.2007.06.023

Diğer Dosyalar ve Linkler

Link to publication in Scopus

Alıntı Yap

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

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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",

year = "2007",

month = sep,

day = "11",

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

language = "English",

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",

}

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, hac. 579, no. 3, pp. 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, Hac. 579, No. 3, 11.09.2007, p. 1096-1116.

Araştırma sonucu: ???type-name??? › Makale › bilirkişi

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.

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

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

Özet

Finansman

Belgeye Erişim

Diğer Dosyalar ve Linkler

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