Table 2: The threshold impact parameters $\langle u_{\rm T} \rangle _{\phi}$ and $\langle u_{\rm T}^{~2} \rangle _{\phi}$ averaged over the whole M 31 galaxy are given for different values of the superpixel dimension $N \times N$ , sky background $m_{\rm sky}$ , fraction $f_{\rm see}$ of the superpixel covered by the PSF and superpixel flux stability $\sigma _{\rm T}$ .
$N \times N$ $m_{\rm sky}$ $f_{\rm see}$ $\sigma _{\rm T}$ $\langle u_{\rm T} \rangle _{\phi}$ $\langle u_{\rm T}^{~2} \rangle _{\phi}$

(mag arcsec^-2)

$3 \times 3$ 20.9 0.87 $2.5\times 10^{-3}$ N $_{\rm bl}$ $1.10\times 10^{-1}$ $3.17\times 10^{-2}$

$5 \times 5$ 20.9 0.87 $2.5\times 10^{-3}$ N $_{\rm bl}$ $7.11\times 10^{-2}$ $1.59\times 10^{-2}$

$7\times7$ 20.9 0.87 $2.5\times 10^{-3}$ N $_{\rm bl}$ $5.10\times 10^{-2}$ $9.56\times 10^{-3}$

$7\times7$ 20.9 0.40 $2.5\times 10^{-3}$ N $_{\rm bl}$ $2.57\times 10^{-2}$ $3.13\times 10^{-3}$

$7\times7$ 19.5 0.40 $2.5\times 10^{-3}$ N $_{\rm bl}$ $1.44\times 10^{-2}$ $1.17\times 10^{-3}$

$7\times7$ 19.5 0.40 $1.0\times 10^{-2}$ N $_{\rm bl}$ $3.82\times 10^{-3}$ $1.23\times 10^{-4}$

**Table 2:** The threshold impact parameters $\langle u_{\rm T} \rangle _{\phi}$ and $\langle u_{\rm T}^{~2} \rangle _{\phi}$ averaged over the whole M 31 galaxy are given for different values of the superpixel dimension $N \times N$ , sky background $m_{\rm sky}$ , fraction $f_{\rm see}$ of the superpixel covered by the PSF and superpixel flux stability $\sigma _{\rm T}$ .
$N \times N$	$m_{\rm sky}$	$f_{\rm see}$	$\sigma _{\rm T}$	$\langle u_{\rm T} \rangle _{\phi}$	$\langle u_{\rm T}^{~2} \rangle _{\phi}$
	(mag arcsec^-2)
$3 \times 3$	20.9	0.87	$2.5\times 10^{-3}$ N $_{\rm bl}$	$1.10\times 10^{-1}$	$3.17\times 10^{-2}$
$5 \times 5$	20.9	0.87	$2.5\times 10^{-3}$ N $_{\rm bl}$	$7.11\times 10^{-2}$	$1.59\times 10^{-2}$
$7\times7$	20.9	0.87	$2.5\times 10^{-3}$ N $_{\rm bl}$	$5.10\times 10^{-2}$	$9.56\times 10^{-3}$
$7\times7$	20.9	0.40	$2.5\times 10^{-3}$ N $_{\rm bl}$	$2.57\times 10^{-2}$	$3.13\times 10^{-3}$
$7\times7$	19.5	0.40	$2.5\times 10^{-3}$ N $_{\rm bl}$	$1.44\times 10^{-2}$	$1.17\times 10^{-3}$
$7\times7$	19.5	0.40	$1.0\times 10^{-2}$ N $_{\rm bl}$	$3.82\times 10^{-3}$	$1.23\times 10^{-4}$

Source LaTeX | All tables | In the text

	1 Introduction
	2 Source and lens models
	3 Pixel lensing basics
	4 Pixel lensing optical depth and event rate
	5 Pixel lensing event duration
	6 Results
	7 Conclusions
	References