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The electric dipole transitions $\chi_{bJ}(1P)\to \gamma\Upsilon(1S)$ with$J=0,1,2$ and $h_{b}(1P)\to \gamma\eta_{b}(1S)$ are computed using theweak-coupling version of a low-energy effective field theory named potentialnon-relativistic QCD (pNRQCD). In order to improve convergence and thus givefirm predictions for the studied reactions, the full static potential isincorporated into the leading order Hamiltonian; moreover, we must handleproperly renormalon effects and re-summation of large logarithms. The precisionwe reach is $k_{\gamma}^{3}/(mv)^{2} \times \mathcal{O}(v^{2})$, where$k_{\gamma}$ is the photon energy, $m$ is the mass of the heavy quark and $v$its velocity. Our analysis separates those relativistic contributions thataccount for the electromagnetic interaction terms in the pNRQCD Lagrangianwhich are $v^{2}$ suppressed and those that account for wave functioncorrections of relative order $v^{2}$. Among the last ones, corrections from$1/m$ and $1/m^2$ potentials are computed, but not those coming from higherFock states since they demand non-perturbative input and are$\Lambda_{\text{QCD}}^{2}/(mv)^{2}$ or $\Lambda_{\text{QCD}}^{3}/(m^{3}v^{4})$suppressed, at least, in the strict weak coupling regime. These proceedings arebased on the forthcoming publication \cite{steinbeisser}

Determination of electric dipole transitions in heavy quarkonia using potential non-relativistic QCD