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We report work on the matching of the next-to-leading logarithmicapproximation (NLLA) onto the fixed next-to-next-to-leading order (NNLO)calculation for event shape variables in electron-positron annihilation. Thecorrection of the combined NLLA+NNLO computation in the three-jet region,relevant for precision phenomenology, is small compared with pure NNLO orNLLA+NLO.

Matching of Resummed NLLA with Fixed NNLO for Event Shapes