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We investigate the properties of S-and P-wave bottomonium states in thevicinity of the deconfinement transition temperature. The light degrees offreedom are represented by dynamical lattice QCD configurations of the HotQCDcollaboration with $N_f = 2 + 1$ flavors. Bottomonium correlators are obtainedfrom bottom quark propagators, computed in nonrelativistic quantumchromodynamics (NRQCD) under the background of these gauge fieldconfigurations. The spectral functions for the $^3S_1$ ($\Upsilon$) and $^3P_1$($\chi_{b1}$) channel are extracted from the Euclidean time correlators using anovel Bayesian approach in the temperature region $140 {\rm MeV} \le T \le 249{\rm MeV}$ and the results are contrasted to those from the standard maximumentropy method. We find that the new Bayesian approach is far superior to themaximum entropy method. It enables us to study reliably the presence or absenceof the lowest state signal in the spectral function of a certain channel, evenunder the limitations present in the finite temperature setup. We find that$\chi_{b1}$ survives up to $T=249 {\rm MeV}$, the highest temperatureconsidered in our study and put stringent constraints on the size of the mediummodification of $\Upsilon$ and $\chi_{b1}$ states.

Lattice NRQCD study of S- and P-wave bottomonium states in a thermal medium with $N_f=2+1$ light flavors