Mathematical methods for B-0(B)over-bar(0) oscillation analyses

被引：120

作者：

Moser, HG

Roussarie, A

机构：

[1] CE SACLAY, SERV PHYS PARTICULES, DAPNIA, F-91191 GIF SUR YVETTE, FRANCE

[2] CEA SACLAY, DAPNIA, SERV PHYS PARTICULES, F-91191 GIF SUR YVETTE, FRANCE

来源：

NUCLEAR INSTRUMENTS & METHODS IN PHYSICS RESEARCH SECTION A-ACCELERATORS SPECTROMETERS DETECTORS AND ASSOCIATED EQUIPMENT | 1997年 / 384卷 / 2-3期

关键词：

D O I：

10.1016/S0168-9002(96)00887-X

中图分类号：

TH7 [仪器、仪表];

学科分类号：

0804 ; 080401 ; 081102 ;

摘要：

The measurement of the (BsBs-0)-B-0 mixing frequency Delta m(s) requires the search for a periodic pattern in the time distribution of the data. Using Fourier analysis the consequences of vertex and boost resolution, mis-tag and statistical fluctuations are treated analytically and a general expression to estimate the significance of a (BB-0)-B-0 mixing analysis is derived. With the help of Fourier analysis the behaviour of a classical maximum likelihood analysis in time-space is studied, too. It can be shown that a naive maximum likelihood fit fails in general to give correct confidence levels. This is especially important if limits are calculated. Alternative methods, based on the likelihood, which give correct limits are discussed. A new method, the amplitude fit, is introduced which combines the advantages of a Fourier analysis with the power and simplicity of a maximum likelihood fit.

引用

页码：491 / 505

页数：15

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