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We calculate supersymmetric Wilson loops on the ellipsoid for a large classof $\mathcal{N}=2$ SCFT using the localization formula of Hama and Hosomichi.From them we extract the radiation emitted by an accelerating heavy probe quarkas well as the entanglement entropy following the recent works ofLewkowycz-Maldacena and Fiol-Gerchkovitz-Komargodski. Comparing our resultswith the $\mathcal{N}=4$ SYM ones, we obtain interpolating functions $f(g^2)$such that a given $\mathcal{N}=2$ SCFT observable is obtained by replacing inthe corresponding $\mathcal{N}=4$ SYM result the coupling constant by $f(g^2)$.These "exact effective couplings" encode the finite, relative renormalizationbetween the $\mathcal{N}=2$ and the $\mathcal{N}=4$ gluon propagator, theyinterpolate between the weak and the strong coupling. We discuss the range oftheir applicability.

Exact Bremsstrahlung and Effective Couplings