Statistical and systematical errors

The estimated statistical, systematic and total errors for the proposed $\mu ^{-}$ and $\mu ^{+}$ lifetime measurements are summarized in table 11. The error in $\Lambda _{s}=\lambda _{\mu^-}-\lambda _{\mu^+}$ is then $\approx \sqrt{2}$ $\delta \lambda \approx 14$ ppm of $\lambda _{\mu^+}$ or 1% of $\Lambda _{s}$ .

Table 11: Summary of statistical and systematical errors for 2 complementary analysis methods

	correction(error) to $\lambda$ (ppm)
global PU free data			local PU free data
$\mu ^{-}$	$\mu ^{+}$	comment	$\mu ^{-}$	$\mu ^{+}$	comment
statistics	(10)	(10)	10 $^{10}$ events	(7)	(7)	2x10 $^{10}$ events
wall stops	(2)	-		(2)	-
impurities	2(3)	-	c $_{Z}$ =10 $^{-8}$ assumed	2(3)	-	c $_{Z}$ =10 $^{-8}$ assumed
flat accidentals	(2)	(2)	level 10 $^{-4}$	(3)	(3)	level 5x10 $^{-4}$
$\mu$ SR	-	(2)		-	(2)
diffusion	1(1)	-	no vertex cut	100(5)	-	5 cm radial cut
$\mu$ effect on electronics	-	-		-	-
two event correlation	-	-		(2)	(2)	accidental structure
total systematic error	4.2	2.8		7.1	4.1
$\delta \lambda$ total error	10.9	10.4		10.	8.1