Matching of the Shape Function

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  • 26 July 1999
Abstract
We compute the leading one-loop corrections to the shape function f(k_+) with a hard cut-off regularization. The matching constant onto full QCD is infrared safe, i.e. the leading infrared singularity represented by the term log 2k_+ cancels in the difference of integrals. We compare the hard cut-off result with the results in dimensional regularization, the latter containing an additional factor of two in the coefficient of the log^2k_+ term, and consequently requiring an oversubtraction.

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