Irinel Caprini and Matthias Neubert JHEP03(1999)007 doi:10.1088/1126-6708/1999/03/007
Irinel Caprini1 and Matthias Neubert2
Show affiliationsWe derive a compact expression for the Borel sum of a QCD amplitude in terms of the inverse Mellin transform of the corresponding Borel function. The result allows us to investigate the momentum-plane analyticity properties of the Borel-summed Green functions in perturbative QCD. An interesting connection between the asymptotic behaviour of the Borel transform and the Landau singularities in the momentum plane is established. We consider for illustration the polarization function of massless quarks and the resummation of one-loop renormalon chains in the large-β0 limit, but our conclusions have a more general validity.
12.38.Cy Summation of perturbation theory
Issue 03 ( 1 March 1999)
Received 9 February 1999, accepted for publication 11 March 1999
Published 13 May 1999
Irinel Caprini and Matthias Neubert JHEP03(1999)007
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