%0 Journal Article %T CP violation in correlated production and decay of unstable particles %A Kittel, O. %A Pilaftsis, A. %J Nuclear Physics B %D 2012 %V 856 %N 3 %I Elsevier Science Bv %@ 0550-3213 %G English %F Kittel+Pilaftsis2012 %O WOS:000300028200004 %O exported from refbase (https://references.ific.uv.es/refbase/show.php?record=892), last updated on Thu, 01 Nov 2012 19:54:28 +0000 %X We study resonant CP-violating Einstein-Podolsky-Rosen correlations that may take place in the production and decay of unstable scalar particles at high-energy colliders. We show that as a consequence of unitarity and CPT invariance of the S-matrix, in 2 -> 2 scatterings mediated by mixed scalar particles, at least three linearly independent decay matrices associated with the unstable scalar states are needed to obtain non-zero CP-odd observables that are also odd under C-conjugation. Instead, for the correlated production and decay of two unstable particle systems in 2 -> 4 processes, we find that only two independent decay matrices are sufficient to induce a net non-vanishing CP-violating phenomenon. As an application of this theorem, we present numerical estimates of CP asymmetries for the correlated production and decay of supersymmetric scalar top anti-top pairs at the LHC, and demonstrate that these could reach values of order one. As a byproduct of our analysis, we develop a novel spinorial trace technique, which enables us to efficiently evaluate lengthy expressions of squared amplitudes describing the resonant scalar transitions. %K EPR correlation %K Resonant CP violation %K Collider phenomenology %R 10.1016/j.nuclphysb.2011.11.022 %U http://arxiv.org/abs/1108.3314 %U https://doi.org/10.1016/j.nuclphysb.2011.11.022 %P 682-697