Refine
Has Fulltext
- yes (1)
Is part of the Bibliography
- yes (1)
Year of publication
- 2024 (1)
Document Type
- Doctoral Thesis (1)
Language
- English (1)
Keywords
Institute
The present thesis is concerned with the automated computation of integrated and differential
cross sections of diboson production in proton–proton and electron–positron collisions at very
high energies, including a resummation of electroweak Sudakov logarithms to all orders in the
fine-structure constant using soft–collinear effective theory.
The search for new physics at future colliders such as the FCC–hh or the CLIC requires
precise predictions for scattering cross sections from the theoretical high-energy physics com-
munity. Electroweak Sudakov logarithms, which currently limit the accuracy of predictions in
the high-energy tails of differential distributions for LHC-like energies, are known to destroy the
convergence behaviour of the fixed-order perturbative series, once sufficiently high energies are
considered.
To resum these large corrections, soft–collinear effective theory has been applied to simple
processes, which permits analytic calculations. Within this work, we present an automated
computation within a Monte Carlo integration framework, thus facilitating the computation of
fully differential cross section to complicated processes. This requires the use of the Catani–
Seymour subtraction algorithm to treat the occurring infrared divergences. The machinery is
applied to all diboson processes with intermediate weak gauge bosons, including the photon-
induced W+ W− -production channel.
To this end we carefully study the validity of the necessary assumptions such as the double-
pole approximation and estimate the order of magnitude of neglected effects. Especially the
non-doubly-resonant contributions turn out to be sizeable in several interesting phase-space
regions.
For lepton collisions at 3 TeV we obtain the integrated cross sections of W-pair and Z-pair
production to be shifted by more than 20% with respect to the Born value, owing to the resum-
mation of the leading-logarithmic corrections These effects are partly cancelled by subleading
effects. For proton–proton collisions at √
s = 100 TeV we observe sizeable resummation effects
in the high-energy tails, while the integrated cross sections are dominated by interactions, for
which soft–collinear effective theory is not applicable.