Addendum to "Distinguishing Spins in Decay Chains at the Large Hadron Collider"

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We extend our earlier study of spin correlations in the decay chain D→ C q, C→ B lnear, B→ A lfar, where A,B,C,D are new particles with known masses but undetermined spins, lnear and lfar are opposite-sign same-flavour charged leptons and A is invisible. Instead of looking at the observable 2- and 3-particle invariant mass distributions separately, we compare the full three-dimensional phase space distributions for all possible spin assignments of the new particles, and show that this enhances their distinguishability using a quantitative measure known as the Kullback-Leibler distance.