One of the key goals of the precision collider physics program
is to improve the determination of the top quark mass. This requires
looking at observables that are both sensitive to the top mass and can
be brought under firm theoretical control. Satisfying both of these
criteria at the LHC is challenging due to contributions from soft
physics, hadronization and the underlying event. In this talk, I will
present a novel proposal to measure the top quark mass using statistical
correlators of energy flow operators. In particular, I will discuss a
first theoretical analysis of the three-point correlator measured on the
top decay products, which exhibits top-mass sensitivity due to the hard
kinematics while naturally suppressing effects from soft physics due to
the energy weighting.