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By O. Kittel
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Extra resources for CP Violation in Production and Decay of Supersymmetric Particles [thesis]
The statistical significance of Aℓ , given by Sℓ = |Aℓ | 2L · σ, is shown in Fig. 3b for L = 500 fb−1 . 9π, by using polarized beams. 3 5 -7 4 3 -6 -5 2 -4 -3 1 -2 Fig. 3a Pe − Fig. 9π, ˜+ ˜ℓ in the Pe− –Pe+ √ 1χ 2; χ 1 → ℓ ν |µ| = 400 GeV, M2 = 200 GeV, tan β = 5, mν˜ℓ = 185 GeV, s = 800 GeV and L = 500 fb−1 . 1 We have studied CP violation in chargino production with longitudinally polarized beams, e+ e− → χ˜+ ˜− i χ j , and subsequent two-body decay of one chargino into + T the sneutrino χ ˜+ → ℓ ν ˜ .
Note that if we would replace the triple product Tf by Tf′ = pe− · (pχ0i × pZ ), and would calculate the corresponding asymmetry, where the Z boson polarization is summed, all spin correlations and thus this asymmetry would vanish identically because of the Majorana properties of the neutralinos. 31) of χ˜0i we use the same spin-density matrix formalism as in [27, 39]. 46). 49). 36) summed over a, c, d. Here the Z production matrix ρP (Z) is decomposed into contributions of scalar (first term), vector (second term) and tensor parts (third term).
Since these observables have in addition contributions from the decay, they do not necessarily vanish for e+ e− → χ˜± ˜∓ 1χ 1 production. In this mode CP violation could be established, even if the production of the heavier pair χ˜± ˜∓ 1χ 2 is not yet accessible. 11) with longitudinally polarized beams and the subsequent two-body decay + ˜0n . 12). The asymmetry AT I is sensitive to the CP violating phase ϕµ . 12), we consider the subsequent hadronic decay of the W boson W + → c + s¯. 15) The correlations between the χ ˜+ i polarization and the W boson polarization lead to CP sensitive elements of the W boson density matrix.