  The Bose polaron is a quasi-particle of an impurity dressed by surrounding
bosons. In few-body physics, it is known that two identical bosons and a third
distinguishable particle can form a sequence of Efimov bound states in the
vicinity of inter-species scattering resonance. On the other hand, in the Bose
polaron system with an impurity atom embedded in many bosons, no signature of
Efimov physics has been reported in the existing spectroscopy measurements up
to date. In this work, we propose that a large mass imbalance between a light
impurity and heavy bosons can help produce visible signatures of Efimov physics
in such a spectroscopy measurement. Using the diagrammatic approach in the
Virial expansion to include three-body effects from pair-wise interactions, we
determine the impurity self-energy and its spectral function. Taking
$^{6}$Li-$^{133}$Cs\ system as a concrete example, we find two visible Efimov
branches in the polaron spectrum, as well as their hybridizations with the
attractive polaron branch. We also discuss the general scenarios for observing
the signature of Efimov physics in polaron systems. This work paves the way for
experimentally exploring intriguing few-body correlations in a many-body system
in the near future.
