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

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In the muon (g - 2) experiment at Brookhaven National Laboratory, the spin precession frequency omega(a) is obtained from a standard chi(2) minimization fit applied to the time distribution of decay electrons. The unusually high accuracy (similar to 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 omega(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. (c) 2007 Elsevier B.V. All rights reserved.
Publisher
ELSEVIER SCIENCE BV
Issue Date
2007-09
Language
English
Article Type
Article
Keywords

ANOMALOUS MAGNETIC-MOMENT; POSITIVE MUON

Citation

NUCLEAR INSTRUMENTS METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT, v.579, no.3, pp.1096 - 1116

ISSN
0168-9002
DOI
10.1016/j.nima.2007.06.023
URI
http://hdl.handle.net/10203/255655
Appears in Collection
PH-Journal Papers(저널논문)
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