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Taking into account noise from intrinsic ellipticities of source galaxies, in this paper, we study the peak statistics in weak-lensing convergence maps around clusters of galaxies and beyond. We emphasize how the noise peak statistics is affected by the density distribution of nearby clusters, and also how cluster-peak signals are changed by the existence of noise. These are the important aspects to be understood thoroughly in weak-lensing analyses for individual clusters as well as in cosmological applications of weak-lensing cluster statistics. We adopt Gaussian smoothing with the smoothing scale G=0. 5 arcmin in our analyses. It is found that the noise peak distribution near a cluster of galaxies depends sensitively on the density profile of the cluster. For a cored isothermal cluster with the core radius Rc, the inner region with R Rc appears noisy containing on average 2. 4 peaks with 5 for Rc= 1. 7 arcmin and the true peak height of the cluster =5. 6, where denotes the convergence signal to noise ratio. For a NFW cluster of the same mass and the same central, the average number of peaks with 5 within R Rc is 1. 6. Thus a high peak corresponding to the main cluster can be identified more cleanly in the NFW case. In the outer region with Rc<R 5Rc, the number of high noise peaks is considerably enhanced in comparison with that of the pure noise case without the nearby cluster. (abridged)
Fan et al. (Thu,) studied this question.