Violation in Mixing

5.5 Maximum likelihood analysis 141
Table 5-8. Systematics errors ( ) for Ã Ë � yield
Ñ�Ë (Signal) Mean Ñ�Ë (Signal)
Ñ�Ë (Bkg)
�Ñ�Ë (Signal)
¡� (Signal) Mean ¡� (Signal)
�¡� (Signal)
Æ Ë
Ã Ë �
Ë Æ
ÃË� ��
�� �
�
��
���
�
��
�
�� �
�
�
��
¡� (Bkg) ¦ ��
Fisher Fisher (Signal) ¦ � ���
Fisher (Bkg) ¦��� ���
� � : Frac Sat Peak
�
��
� : Resolution ¦ ��
Total
� : Offset ¦ �
� : charge dependent PDFs - -
systematic uncertainties in the unbinned likelihood analysis come primarily from the imperfect knowledge
of the correct parameterizations for each of the PDFs. Each parameter in each PDF was varied within ¦ �
and different samples of data were used to obtain alternative parameterizations.
The global fit was repeated changing every time one PDF parameter or using another parameterization for a
single PDF and the difference of the fit results from the central values of the nominal fit are taken to be the
estimated systematic uncertainty.
These studies are summarized below:
¯ Ñ�Ë � The mean value of Ñ�Ë for signal decays was varied by ¦ ��Å�Î� and the width of
¦ � Å�Î� . The � parameter of the Argus function used to model the background shape, was
allowed to vary within ¦ �. This uncertainty is estimated from the different values of � obtained by
fitting on-resonance side-bands, off-resonance and continuum Monte Carlo data.
¯ ¡� � The mean for the ¡� distribution for signal events are varied from Å�Î to Å�Î. The �
��
is varied of �� Å�Î, consistently with � � analysis (see Ref. [57]). Alternative parameterizations
of background ¡� distribution obtained fitting off-resonance and continuum Monte Carlo data are
used.
MEASUREMENT OF BRANCHING FRACTIONS FOR � ¦ � Ã � ¦ DECAYS
�
��
���
���