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Use of W-boson longitudinal-transverse interferencein top quark spin-correlation functions

Authors:	C A Nelson E G Barbagiovanni J J Berger E K Pueschel J R Wickman

Institution:	(1) Department of Physics, State University of New York at Binghamton, N.Y. 13902 Binghamton, USA

Abstract:	Most of this paper consists of the derivation of general beam-referenced stage-two spin-correlation functions for the analysis of top-antitop pair production at the Tevatron, at the Large Hadron Collider, and/or at an International Linear Collider. However, for the charged-lepton plus jets reaction $q \bar{q} \rightarrow t \bar{t} \rightarrow (W^ + b) (W^- \bar{b} ) \rightarrow (l^{ + } \nu b ) (W^- \bar{b} )$ , there is a simple three-angle spin-correlation function for the determination of the relative sign of or for the measurement of a possible non-trivial phase between the two dominant λ_b=-1/2 helicity amplitudes for the t → W⁺b decay mode. For the CP-conjugate case, there is an analogous function and tests for $\bar{t} \rightarrow W^{-} \bar{b}$ decay. These results make use of W-boson longitudinal-transverse interference. Received: 24 June 2005, Revised: 10 August 2005, Published online: 3 November 2005

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