Example of Monte Carlo integrals where reference functions are useful

In the preceding paper, it has been shown that use of reference functions could decrease errors on integrals estimated by Monte Carlo. Here the statement is illustrated by a physics example. It concerns the measurement of the μ +μ - forward-backward production asymmetry in e +e - interactions, takin...

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Bibliographic Details
Published in:Computer physics communications 1992, Vol.67 (3), p.378-388
Main Authors: Eberhard, Philippe H., Schneider, Olivier P.
Format: Article
Language:English
Subjects:
Exact sciences and technology
Mathematical methods in physics
Numerical approximation and analysis
Physics
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Summary:In the preceding paper, it has been shown that use of reference functions could decrease errors on integrals estimated by Monte Carlo. Here the statement is illustrated by a physics example. It concerns the measurement of the μ +μ - forward-backward production asymmetry in e +e - interactions, taking radiative corrections and detector distortions into account. The parameters of the detector are chosen arbitrarily just for purpose of illustration. The result using reference functions is about 4 times as accurate as without using them. The reference functions also make the results less sensitive to some biases in the Monte Carlo generator.
ISSN:0010-4655
1879-2944
DOI:10.1016/0010-4655(92)90046-2