“…It is important to note that there are other cosmological sources of gravitational waves, such as inflation [108,115,[168][169][170], domain walls [171], first-order phase transitions [172][173][174][175][176][177][178], and preheating [179,180], which predict angular power spectra with a similar Cℓ ∼ ℓ −2 dependence as SIGWs. To distinguish SIGWs from these sources, cross-correlation studies between GWBs and various observables, such as CMB [108,112,153,154,[181][182][183][184][185][186], LSS [154,[187][188][189][190][191][192][193], and 21cm lines [194,195], have been proposed. Furthermore, it is worth mentioning that apart from the information JCAP06(2024)039 contained in the characteristic energy density Ωgw there is additional information embedded in the frequency dependence of C ℓ .…”