Abstract
In the MSSM with complex parameters, loop corrections to χ˜i±→χ˜j0W± lead to a CP violating asymmetry ACP=(Γ(χ˜i+→χ˜j0W+)−Γ(χ˜i−→χ˜j0W−))/(Γ(χ˜i+→χ˜j0W+)+Γ(χ˜i−→χ˜j0W−)). We calculate this asymmetry at full one-loop level. We perform a detailed numerical analysis for χ˜1±→χ˜10W± and χ˜2±→χ˜10W± analyzing the dependence on the parameters and phases involved. Asymmetries of several percent are obtained. We also discuss the feasibility of measuring these asymmetries at LHC.
Highlights
It is well known that supersymmetric models contain new sources of CP violation if the parameters are complex
For the decay χ±1 → χ01W ±, the total one-loop asymmetry ACP is shown in Fig. 2a and the tree-level branching ratio (BR) in Fig. 2b, for M2 = 500 GeV, |A| = 400 GeV, φA = −π/4, φM1 = 3π/4, and three values of MQas a function of |μ|. |ACP| increases for increasing values of |μ| because the tree-level decay width of χ±1 → χ01W ± goes to zero, as χ01 becomes almost a pure bino which does not couple to W ±
With mg ∼ mq = 750 GeV, we expect roughly 2.4 × 105 events containing χ±1, assuming a luminosity of 105 pb−1 and a branching ratio of a gluino decaying into a χ±1 of 40%
Summary
It is well known that supersymmetric models contain new sources of CP violation if the parameters are complex. As a loop-level quantity the asymmetry ACP depends on the phases of all complex parameters involved.
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