  A strong coupling between an electronic cavity and a quantum dot has been
recently demonstrated [Phys. Rev. Lett. 115, 166603 (2015)] and described in a
comprehensive theoretical framework [Phys. Rev. B 96, 235431 (2017)]. Here, we
focus on the signatures that demonstrate the cavity's impact on inelastic
singlet-triplet transport through the dot. We find the same transport
signatures in the experiment as predicted by the model that describes the
coupled dot--cavity system. Interestingly, a lowest-order treatement of the
coupling to the electronic leads on top of an exact diagonalisation of the
dot-cavity system is sufficient to highlight the interplay between the cavity
and the higher-order inelastic singlet-triplet cotunneling.
