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@PHDTHESIS{Brancaccio:974804,
      author       = {Brancaccio, Colomba},
      othercontributors = {Krämer, Michael and Czakon, Michal},
      title        = {{T}op-quark fragmentation into a {H}iggs boson in the
                      context of top-{H}iggs associated production},
      school       = {RWTH Aachen University},
      type         = {Dissertation},
      address      = {Aachen},
      publisher    = {RWTH Aachen University},
      reportid     = {RWTH-2023-11639},
      pages        = {1 Online-Ressource : Illustrationen},
      year         = {2023},
      note         = {Veröffentlicht auf dem Publikationsserver der RWTH Aachen
                      University 2024; Dissertation, RWTH Aachen University, 2023},
      abstract     = {This thesis analyzes the application of the fragmentation
                      formalism to the Higgs boson associated production with a
                      top quark pair. In this formalism, when the Higgs transverse
                      momentum $p_{\mathrm{T},H}$ is much bigger than the top and
                      the Higgs mass, the $t \bar{t} H$ cross section can be
                      factorized into the infrared-safe hard-scattering production
                      and the fragmentation function into a Higgs boson, which can
                      be computed in perturbation theory. The relevant
                      fragmentation functions for the Higgs-top associated
                      production at next-to-leading order are the top-to-Higgs and
                      the gluon-to-Higgs fragmentation functions. Using a
                      diagrammatic approach and employing multi-loop techniques,
                      these fragmentations are analytically computed up to
                      $\mathcal{O}(\alpha_s y_t^2)$ with complete mass dependence.
                      Moreover, the $e^- e^+ \to \gamma \to t \bar{t} H$
                      fixed-order $p_{\mathrm{T},H}$ spectrum is calculated at
                      next-to-leading order by performing the convolution of the
                      top-to-Higgs fragmentation function with the hard-scattering
                      production by using the $\mathtt{STRIPPER}$ library.
                      Comparing the approximation to the exact prediction, the
                      factorization formula accurately reproduces the true
                      $p_{\mathrm{T},H}$ spectrum up to the expected power
                      correction of the order $m^2/p_{\mathrm{T},H}^2$, where $m$
                      is the Higgs or the top mass according to the approximation
                      used. This test is theoretically valuable as it gives
                      insight into the fragmentation framework applied to Higgs
                      boson associated production and provides a check for the
                      top-to-Higgs fragmentation function. The first steps towards
                      potential phenomenological hadron collider applications have
                      been made by examining the process $ p p \to t \bar{t} H $
                      at leading order. The formalism developed in this thesis can
                      be employed in the future for resumming large logarithms of
                      the type $\ln(p_{\mathrm{T},H}/m)$, which may spoil the
                      convergence of the perturbative series at future colliders.
                      Additionally, it opens up new prospects for further
                      fragmentation formalism applications, for instance, to
                      processes like $t\bar{t}W$ or $t\bar{t}Z$.},
      cin          = {136110 / 130000},
      ddc          = {530},
      cid          = {$I:(DE-82)136110_20140620$ / $I:(DE-82)130000_20140620$},
      pnm          = {DFG project 396021762 - TRR 257: Phänomenologische
                      Elementarteilchenphysik nach der Higgs-Entdeckung
                      (396021762) / GRK 2497 - GRK 2497: Physik der schwersten
                      Teilchen am Large Hadron Collider (400140256)},
      pid          = {G:(GEPRIS)396021762 / G:(GEPRIS)400140256},
      typ          = {PUB:(DE-HGF)11},
      doi          = {10.18154/RWTH-2023-11639},
      url          = {https://publications.rwth-aachen.de/record/974804},
}