Systematic errors

A summary of systematic uncertainties is reported in table 1:

Table 1: Summary table of systematic uncertainties

Systematic	Error
L1 trigger (XFT) efficiency by particle species	$7.0\%$
L1 trigger (XFT) efficiency due to COT aging	$0.3\%$
Other time dependent efficiency	$2.4\%$
Polarization of decay	$7.0\%$
$\Delta \Gamma_s$ theory uncertainty	$3.5\%$
$B_s \rightarrow J/\psi \phi$ yield determination	$6.1\%$
Backgrounds	$3.2\%$
Muon efficiency	$5.8\%$
Sub-total	$14.0\%$
BR( $B_s \rightarrow J/\psi \phi$) and daughter BR	$36\%$
Total	$39\%$

We notice that systematic is dominated by normalization mode BR which come from an old CDF Run 1 measurement $BR( B_s \rightarrow J/\psi \phi ) = (9.3 \pm 3.3)\cdot 10^{-4}$ (PDG 2002).