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We present the transverse momentum spectrum for a heavy hadron at thresholdin a groomed jet initiated by a heavy quark. The cross section is doublydifferential in the energy fraction of an identified heavy hadron in the jetand its transverse momentum measured with respect to the groomed (recoil free)jet axis. The grooming is implemented using a soft-drop grooming algorithm andhelps us in mitigating the effects of Non-Global logarithms and pile up. Forthe particular case of a $B$ meson, we identify two distinct regimes of thetransverse momentum spectrum and develop an EFT within the formalisms of SoftCollineat Effective Theory (SCET) and Heavy Quark Effective Theory (HQET) foreach of these regions. We show how each region can be matched smoothly into theother to provide a prediction for the perturbative transverse momentumspectrum. The EFT also predicts the scaling behavior of the leadingnon-perturbative power corrections and implements a simple shape function toaccount for hadronization. We work in the threshold region where the heavyhadron carries most of the energy of the jet since in this regime, we have avery good discriminating power between heavy quark and gluon initiated jets. Weobserve that the shape of the spectrum is independent of the energy of the jetover a large range of transverse momentum. We propose that this spectrum can beused as a probe of evolution for heavy quark TMD fragmentation function. At thesame time, it can be treated as a jet substructure observable for probingQuark-Gluon Plasma (QGP).

Transverse Momentum Spectra at Threshold for Groomed Heavy Quark Jets