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# Astrophysics > High Energy Astrophysical Phenomena

# Title: Gravitational waves from Population III binary black holes are consistent with LIGO/Virgo O3a data for the chirp mass larger than $\sim 20M_{\odot}$

(Submitted on 1 Mar 2021 (v1), last revised 8 Sep 2021 (this version, v2))

Abstract: The probability number distribution function of binary black hole mergers observed by LIGO/Virgo O3a has double peaks as a function of chirp mass $M_c$, total mass $M_t$, primary black hole mass $M_1$ and secondary one $M_2$, respectively. The larger chirp mass peak is at $M_c \cong 30 M_{\odot}$. The distribution of $M_2$ vs. $M_1$ follows the relation of $M_2\cong 0.7M_1$. For initial mass functions of Population III stars in the form of $f(M) \propto M^{-\alpha}$, population synthesis numerical simulations with $0\leq \alpha \leq 1.5$ are consistent with O3a data for $M_c \gtrsim 20M_{\odot}$. The distribution of $M_2$ vs. $M_1$ for simulation data also agrees with $M_2\cong 0.7M_1$ relation of O3a data.

## Submission history

From: Tomoya Kinugawa [view email]**[v1]**Mon, 1 Mar 2021 06:40:46 GMT (340kb,D)

**[v2]**Wed, 8 Sep 2021 07:03:52 GMT (388kb,D)

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