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We develop an effective field theory (EFT) framework to perform an analyticcalculation for energy correlator observables computed on groomed heavy-quarkjets. A soft-drop grooming algorithm is applied to a jet initiated by a massivequark to minimize soft contamination effects such as pile-up and multi-partoninteractions. We specifically consider the two-particle energy correlator as aninitial application of this EFT framework to compute heavy quark jetsubstructure. We find that there are different regimes for the event shapes,depending on the size of the measured correlator observable, that require theuse of different EFT formulations, in which the quark mass and groomingparameters may be relevant or not. We use the EFT to resum large logarithms inthe energy correlator observable in terms of the momentum of a reconstructedheavy hadron to NLL$'$ accuracy and subsequently match it to a full QCD$\mathcal{O}(\alpha_s)$ cross section, which we also compute. We compare ourpredictions to simulations in PYTHIA for $e^+e^-$ collisions. We find a goodagreement with partonic simulations, as well as hadronic ones with anappropriate shape function used to describe nonperturbative effects and theheavy quark hadron decay turned off. We also predict the scaling behavior forthe leading nonperturbative power correction due to hadronization.Consequently, we can give a prediction for the energy correlator distributionat the level of the reconstructed heavy hadron. This work provides a generalframework for the analysis of heavy quark jet substructure observables.

Predictions for energy correlators probing substructure of groomed heavy quark jets