Universal location of Yang-Lee edge singularity in classic O(N) universality classes

Employing the functional renormalization group approach at next-to-leading order of the derivative expansion, we refine our earlier findings for the location of the Yang-Lee edge singularity in classic O(N) universality classes. For the universality classes of interest to QCD, in three dimensions, we found $\mathrm{\mid }{z}_c\mathrm{\mid }\mathrm{/}{R}_{\chi }^{1\mathrm{/}\gamma }=1.612(9),1.597(3)$ for $N=2$, $4$ correspondingly. We also established $\mathrm{\mid }{z}_c\mathrm{\mid }=2.04(8),1.69(3)$ for $N=2$, $4$ albeit with greater systematic error.