Spin Correlations in Decay Chains Involving W Bosons

Abstract

We study the extent to which spin assignments of new particles produced at the LHC can be deduced in the decay of a scalar or fermion C into a new stable (or quasi-stable) particle A through the chain C \to B^\pm q, B^\pm \to A W^\pm, W^\pm \to \ell^\pm ν_\ell where \ell=e,μ. All possible spin assignments of the particles A and B are considered in order to remain as model-independent as possible. Explicit invariant mass distributions of the quark and lepton are given for each set of spins, valid for all masses. We also construct the asymmetry between the chains with a W- and those with a W+. The Kullback-Leibler distance between the distributions is then calculated to give a quantitative measure of our ability to distinguish the different spin assignments.

17 pages, 9 figures; v2 corrects overall factor of numbers in section 4 resulting in quantitative improvement, qualitative results unchanged. Minor changes to clarify text and ref added;v3, ref fixed; v4, major error in FSV results corrected, appendix about higher dimensional couplings added, minor rewordings, agrees with published version

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