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Evolution of Chirality-odd Twist-3 Fragmentation Functions · Around

2017

Evolution of Chirality-odd Twist-3 Fragmentation Functions

Ma, J. P., Zhang, G. P.

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We derive the complete set of evolutions of chirality-odd twist-3 fragmentation functions at one-loop level.

There are totally nine real twist-3 fragmentation functions, among which seven are independent.
The renormalization-scale dependence of the nine functions has an important implication for studies of single transverse-spin asymmetries.
We find that the evolutions of the three complex fragmentation functions defined by quark-gluon-quark operator are mixed with themselves.

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