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T-odd effects in QCD

The T-odd spin effects are not necessary related to the CPviolation. The simplest example is provided by the Single Spin Asymmetries (SSA). They are generated by the term in the cross-section proportional to the polarization of one of the spin-1/2 particles. If parity is conserved, such term should contain Levi-Civita tensor which changes sign when the direction of time axis is changed, that’s why the effect is called T-odd. Sometimes such a transformation is called “naive” T-reflection. At the same time, the “full” time reflection T contains also the interchange of the initial and final states, so if this later operation is non-trivial (which is guaranteed by the existence of the non-trivial phases in the S-matrix elements), the T-odd effects may emerge in the Tinvariant theory. If, for some reason, phases cannot emerge, the real T(CP) violation is required, and the role of phases is taken by the complex couplings. The appearance of phases is, in turn, related through the generalized optical theorem to the existence of the cuts in some kinematical variables. The analysis of such cuts in the different ingredients of QCD factorization can be the main tool of the unraveling of T-odd effect in QCD.