6533b82ffe1ef96bd12946cc
RESEARCH PRODUCT
CP Violation in Correlated Production and Decay of Unstable Particles
Olaf KittelOlaf KittelOlaf KittelApostolos PilaftsisApostolos PilaftsisApostolos Pilaftsissubject
Particle systemPhysicsNuclear and High Energy PhysicsParticle physicsUnitarityBranching fractionCPT symmetryScalar (mathematics)FOS: Physical sciencesObservableHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)CP violationHigh Energy Physics::ExperimentMinimal Supersymmetric Standard ModelParticle Physics - Phenomenologydescription
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.
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2011-08-16 |