@Article{Kittel+Pilaftsis2012, author="Kittel, O. and Pilaftsis, A.", title="CP violation in correlated production and decay of unstable particles", journal="Nuclear Physics B", year="2012", publisher="Elsevier Science Bv", volume="856", number="3", pages="682--697", optkeywords="EPR correlation; Resonant CP violation; Collider phenomenology", abstract="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.", optnote="WOS:000300028200004", optnote="exported from refbase (https://references.ific.uv.es/refbase/show.php?record=892), last updated on Thu, 01 Nov 2012 19:54:28 +0000", issn="0550-3213", doi="10.1016/j.nuclphysb.2011.11.022", opturl="http://arxiv.org/abs/1108.3314", opturl="https://doi.org/10.1016/j.nuclphysb.2011.11.022", archivePrefix="arXiv", eprint="1108.3314", language="English" }