Phenomenological studies of top-pair production at NLO

Phenomenological studies of top-pair production at NLO Phenomenological studies of top-pair production at NLO

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Structure of NLO Calculations σ NLO = = m m dσ B + dσ B + m+1 m+1 dσ R − m+1 dσ A + dσ R − dσ D + m m+1 dσ A + m dσ V dσ V + dσ I + dσ KP HELAC-DIPOLES - complete, public and automatic Catani-Seymour dipoles Extended for arbitrary polarizations Monte Carlo over polarization states of external particles Monte Carlo over color Phase space restriction on the dipoles phase space Less dipole subtraction terms per event Increased numerical stability Reduced missed binning problem Czakon, Papadopoulos, Worek '09 8

One-loop amplitude and rational part Reduction of tensor integrals OPP coefficients and rational part HELAC-1LOOP CUTTOOLS pp → t¯tjj HELAC-NLO HELAC- DIPOLES ONELOOP Catani-Seymour dipole subtraction for massless and massive cases Scalar integrals 9

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 />

HELAC-DIPOLES - complete, public and autom<strong>at</strong>ic C<strong>at</strong>ani-Seymour dipoles<br />

Extended for arbitrary polariz<strong>at</strong>ions<br />

Monte Carlo over polariz<strong>at</strong>ion st<strong>at</strong>es <strong>of</strong> external particles<br />

Monte Carlo over color<br />

Phase space restriction on the dipoles phase space<br />

Less dipole subtraction terms per event<br />

Increased numerical stability<br />

Reduced missed binning problem<br />

Czakon, Papadopoulos, Worek '09<br />

8

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