Power Corrections and Renormalons in $e^{+}{e}^{-}$ Fragmentation Functions

Abstract

We estimate the power corrections (infrared renormalon contributions) to the coefficient functions for the transverse, longitudinal and asymmetric fragmentation functions in $e^{+}{e}^{-}$ annihilation, using a method based on the analysis of one-loop Feynman graphs containing a massive gluon. The leading corrections have the expected $1/Q^2$ behaviour, but the gluonic coefficients of the longitudinal and transverse contributions separately have strong singularities at small $x$, which cancel in their sum. This leads to $1/Q$ corrections to the longitudinal and transverse parts of the annihilation cross section, which cancel in the total cross section.

16 pages, LaTeX, 4 figures, uses epsfig.sty

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• Infrared Renormalons in Collider Processes
• Power-suppressed effects in heavy quark fragmentation functions