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Phenomenological studies of top-pair production at NLO

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Structure <strong>of</strong> <strong>NLO</strong><br />

Calcul<strong>at</strong>ions<br />

<br />

σ <strong>NLO</strong> =<br />

<br />

=<br />

m<br />

m<br />

<br />

dσ B +<br />

<br />

dσ B +<br />

m+1<br />

m+1<br />

<br />

dσ R −<br />

m+1<br />

<br />

dσ A +<br />

<br />

dσ R − dσ D <br />

+<br />

m<br />

m+1<br />

<br />

dσ A +<br />

m<br />

dσ V<br />

<br />

dσ V + dσ I + dσ KP<br />

C<strong>at</strong>ani-Seymour subtraction scheme<br />

At <strong>NLO</strong>: dσ R with m+1 partons and dσ V with m partons in the final<br />

Separ<strong>at</strong>ely divergent although their sum is finite<br />

dσ A is a proper approxim<strong>at</strong>ion <strong>of</strong> dσ R<br />

i. same singular behavior point-by-point<br />

ii. integrable over extra parton degrees <strong>of</strong> freedom<br />

Individual contributions finite. MC integr<strong>at</strong>ion can be performed !

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