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The Collins effect describes the modulation of the hadron production by atransversely polarized quark with the sine of the polar angle, $\varphi$,between the produced hadron's transverse momentum and the quark spin. We employa quark-jet model to describe multiple hadron emissions by such a quark, takingthe Collins effect into account. The resulting hadron distributions exhibitmodulation up to fourth order in $\sin(\varphi)$ when only two hadron emissionsare allowed, rising with any further increase in the number of emitted hadrons.These new effects are a direct consequence of the quark-jet mechanism for quarkhadronization, which do not depend on the details of the model used forelementary hadron emission. The size and the sign of the higher order terms aredirectly connected with the probabilities of quark spin flip in the elementaryemission process, with opposing sign favored and unfavored Collins functionsonly being generated if quark spin flip is preferential. Experimental studiesof these effects should therefore provide a critical test of the quarkhadronization mechanism, which in turn will lead to a deeper understanding ofthe transverse spin structure of hadrons.

Higher Order Collins Modulations in Transversely Polarized Quark Fragmentation