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          |  |  VIRTUAL CORRECTIONS TO THE NLO SPLITTING FUNCTIONS FOR MONTE CARLO: THE NON-SINGLET CASE
 
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 | Organization: | Polish Academy of Sciences | 
 | Department: | The Henryk Niewodniczanski Institute of Nuclear Physics | 
 | Organization: | Polish Academy of Sciences | 
 | Department: | The Henryk Niewodniczanski Institute of Nuclear Physics | 
 | Organization: | Southern Methodist University | 
 | Organization: | Polish Academy of Sciences | 
 | Department: | The Henryk Niewodniczanski Institute of Nuclear Physics | 
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          |  |  Construction of a QCD cascade at the NLO level requires recalculation of the splitting functions in a different manner. We describe the calculation of some of the virtual contributions to the non-singlet splitting function. In order to be compatible with the earlier calculated real contributions, the principal value prescription for regularizing the infrared singularities must be used in a new way. We illustrate this new scheme on simple examples. For the calculations, we wrote a Mathematica package called Axiloop. We describe its current status.
 
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