Window function dependence of the novel mass function of primordial black holes
Window function dependence of the novel mass function of primordial black holes
复制标题
原初黑洞新质量函数的窗函数依赖性
DOI：
10.1088/1475-7516/2020/12/038
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发表时间：
2020
期刊：
影响因子：
--
通讯作者：
Jun'ichi
中科院分区：
文献类型：
--
作者：
Tokeshi;Koki and Inomata;Keisuke and Yokoyama;Jun'ichi
The mass function of primordial black holes (PBHs) has been discussed by many authors so far and, recently, the novel formulation of the PBH mass function has been proposed to avoid uncertainty of the mass in the conventional mass function. However, the novel formulation still has the ambiguity originating from the choice of the window function. In this paper, we discuss the window function dependence of the novel mass function, focusing on the exponential factor in the mass function. In particular, we consider the top-hat power spectrum of the curvature perturbation as a fiducial example. As a result, we find that while the window function dependence of the exponential factor in the novel mass function is the same as the one in the conventional mass function around the top-hat scale, the dependence is different on other scales, which leads to the narrower mass function in the novel formulation for some window functions.
The mass function of primordial black holes (PBHs) has been discussed by many authors so far and, recently, the novel formulation of the PBH mass function has been proposed to avoid uncertainty of the mass in the conventional mass function. However, the novel formulation still has the ambiguity originating from the choice of the window function. In this paper, we discuss the window function dependence of the novel mass function, focusing on the exponential factor in the mass function. In particular, we consider the top-hat power spectrum of the curvature perturbation as a fiducial example. As a result, we find that while the window function dependence of the exponential factor in the novel mass function is the same as the one in the conventional mass function around the top-hat scale, the dependence is different on other scales, which leads to the narrower mass function in the novel formulation for some window functions.
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DOI：
--
发表时间：
2020
期刊：
影响因子：
--
作者：
Rafid Mahbub
通讯作者：
Rafid Mahbub
影响因子：
6.4
作者：
S. Young;I. Musco;C. Byrnes
通讯作者：
S. Young;I. Musco;C. Byrnes
影响因子：
5
作者：
C. Germani;R. Sheth
通讯作者：
C. Germani;R. Sheth
原初黑洞和原初核合成：低质量空穴注入强子的影响
DOI：
--
发表时间：
1999
期刊：
影响因子：
--
作者：
K. Kohri;J. Yokoyama
通讯作者：
J. Yokoyama
DOI：
--
发表时间：
1998
期刊：
arXiv: Astrophysics
影响因子：
--
作者：
J. Niemeyer
通讯作者：
J. Niemeyer