I'm currently reading the paper *["Random matrices: The distribution of the smallest singular values" by '"Terence Tao and Van Vu"](https://link.springer.com/article/10.1007/s00039-010-0057-8)* and have run into some terminology which I don't quite (rigorously) understand. 


In Theorem 1.3, the authors state that $\mathbb{E}[|\xi|^{C\_0}]<\infty$ for some *sufficiently large absolute constant* $C\_0>0$. What does "sufficiently large absolute constant" mean? I googled it but I couldn't find a definition. 



Terminology: "sufficiently large absolute constant"
"Absolute constant" means that it does not depend on anything. For example, $3, 10^{12},\pi$ and Feigenbaum number are absolute constants. They are real numbers. "Sufficiently large" means that
the authors did not care or could not compute or estimate it. 


