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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},
}