Distinguishing Spins in Decay Chains at the Large Hadron Collider
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If new particles are discovered at the LHC, it will be important to determine their spins in as model-independent a way as possible. We consider the case, commonly encountered in models of physics beyond the Standard Model, of a new scalar or fermion $D$ decaying sequentially into other new particles $C,B,A$ via the decay chain $D\to C q$, $C\to B l^{near}$, $B\to A l^{far}$, $l^{near}$ and $l^{far}$ being opposite-sign same-flavour charged leptons and $A$ being invisible. We compute the observable 2- and 3-particle invariant mass distributions for all possible spin assignments of the new particles, and discuss their distinguishability using a quantitative measure known as the Kullback-Leibler distance.
23 pages, 12 figures uses Feynarts; v2 has minor corrections and a new section 4.2 which includes the 3D analysis described in hep-ph/0606212; v3 has reference added and typos fixed - matches journal version; v4 corrects typo in equation B9
23 pages, 12 figures uses Feynarts; v2 has minor corrections and a new section 4.2 which includes the 3D analysis described in hep-ph/0606212; v3 has reference added and typos fixed - matches journal version; v4 corrects typo in equation B9