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

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

1996-08-21

arxiv.org/abs/hep-ph/9608394v1

Nucl.Phys. B484 (1997) 247-264

Physics

High Energy Physics

High Energy Physics - Phenomenology

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

Scientific paper

10.1016/S0550-3213(96)00622-0

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.

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