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@PHDTHESIS{Heymes:538435,
author = {Heymes, David},
othercontributors = {Czakon, Michal and Bernreuther, Werner},
title = {{A} general subtraction scheme for next to next to leading
order computations in perturbative quantum chromodynamics},
school = {Aachen, Techn. Hochsch.},
type = {Dissertation},
address = {Aachen},
publisher = {Publikationsserver der RWTH Aachen University},
reportid = {RWTH-2015-05304},
pages = {III, 156 S. : graph. Darst.},
year = {2015},
note = {Aachen, Techn. Hochsch., Diss., 2015},
abstract = {Accurate and robust theoretical predictions are essential
in order to perform a reliable interpretation of
measurements at the Large Hadron Collider with respect to
the Standard Model of Particle Physics. A major theoretical
tool to provide precise predictions for scattering cross
sections of strongly interacting particles is perturbative
Quantum Chromodynamics (QCD). Starting at next-to-leading
order in the perturbative series the calculation suffers
from infrared singularities in different parts of the
calculation.There are two origins of these singularities.
Either massless virtual particles in loop contributions go
on-shell or additional masslessparticles in the final state
become soft or collinear. Using an appropriate
regularization method singularities cancel in the sum of
different contributions. At next-to-leading order
subtraction methods are established, that allow to calculate
the physical cross section in dimensional regularization
using Monte Carlo methods. Singularities cancel analytically
before the integration is performed. At
next-to-next-to-leading order in the perturbative series the
infrared singular structure is more involved and different
schemes have been proposed to provide physical predictions
for individual processes. In this thesis, the general
formulation of the sector improved residue subtraction
scheme is presented, a framework to compute
next-to-next-to-leading order corrections in perturbative
QCD. This approach, named STRIPPER (SecToR Improved Phase
sPacE for Real radiation), relies on the numerical
cancellation of regularized infrared singularities and
provide a process independent framework to calculate
physical cross sections. In a second step, the explicit
implementation of the subtraction scheme in a Monte Carlo
event generator is outlined. The main idea of the
implementation is to separate the process independent
subtraction scheme from the process dependent evaluation of
matrix elements. While tree-level matrix elements are
already available, one-and two-loop matrix elements can be
included easily. Finally, first partial tests of the
software for top-pair productionin hadron collisions are
presented.},
cin = {136520 / 136620 / 130000},
ddc = {530},
cid = {$I:(DE-82)136520_20140620$ / $I:(DE-82)136620_20140620$ /
$I:(DE-82)130000_20140620$},
typ = {PUB:(DE-HGF)11},
urn = {urn:nbn:de:hbz:82-rwth-2015-053042},
url = {https://publications.rwth-aachen.de/record/538435},
}
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