Implications for Cosmic Domain Walls from LIGO-Virgo First Three Observing Runs

Abstract

We put constraints on the normalized energy density in gravitaional waves from cosmic domain walls (DWs) by searching for the stochastic gravitational-wave background (SGWB) in the data of Advanced LIGO and Virgo's first three observing runs. By adopting a phenomenological broken power-law model, we obtain the upper limit of normalized energy density of SGWB generated by DWs in the peak frequency band $10\sim 200$ Hz, and get the most stringent limitation at the peak frequency $f_{\ast }=35$ Hz, namely ${\Omega }_{\text{DW}}(f_{\ast }=35\text{Hz})<1.4\times 10^{-8}$ at $95\%$ confidence level (CL). Subsequently, we work out the constraints on the parameter space in the appealing realization of DW structure -- the heavy axion model which can avoid the so-called quality problem.

arXiv comment7 pages, 2 tables and 4 figures

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