From Moments to Functions in Quantum Chromodynamics

نویسندگان

  • Johannes Blümlein
  • Manuel Kauers
  • Sebastian Klein
  • Carsten Schneider
چکیده

Single-scale quantities, like the QCD anomalous dimensions and Wilson coefficients, obey difference equations. Therefore their analytic form can be determined from a finite number of moments. We demonstrate this in an explicit calculation by establishing and solving large scale recursions by means of computer algebra for the anomalous dimensions and Wilson coefficients in unpolarized deeply inelastic scattering from their Mellin moments to 3-loop order.

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عنوان ژورنال:
  • CoRR

دوره abs/0902.4095  شماره 

صفحات  -

تاریخ انتشار 2009