At a hadron collider as the LHC or the Tevatron the production of a photon in association with a leptonically decaying vector boson represents an important class of processes. These processes stand out due to a very clean signal of a photon and two leptons. Furthermore they provide direct access to the photon–vector-boson couplings and thus an easy opportunity to test the gauge sector of the Standard Model. Within the scope of this work we present a full calculation of the next-to-leading-order corrections which include the O (αs) corrections of the strong interaction as well as the electroweak corrections of O (α) including all photon-induced contributions. For the creation of matrix elements we use methods based on Feynman diagrams. The IR singularities are treated with the dipole subtraction technique. In order to separate photons from jets, a quark-to-photon fragmentation function ´a la Glover / Morgan or Frixione’s cone isolation is employed. Moreover, two different scenarios for charged leptons in the fi state were considered. The fi scenario for dressed leptons assumes that a charged lepton and a photon will be recombined if they are collinear. In the second scenario for bare muons it is assumed that leptons and photon can be separated in a detector also if they are collinear. For our calculation we implemented all corrections into a fl Monte Carlo program. Be- sides the computation of the total cross section this program is also able to generate diff tial distributions of several experimentally motivated observables. Apart from the expected large electroweak corrections in the high transverse-momentum regions and sizeable corrections in the resonance regions of the transverse or the invariant masses we found photon-induced corrections up to several 10% for high transverse momenta. Within run I at the LHC for 7/8 TeV the experimental accuracy for Vγ production was roughly 10%. Due to the higher luminosity at run II this accuracy will be reduced to the level of a few percent so that corrections of the same order within the theoretical predictions might become relevant. In this work we present results for the total cross section at the LHC for 7, 8 and 14 TeV and the corresponding distributions for 14 TeV.

The measurement of the mass of the $W$ boson is currently one of the most promising precision analyses of the Standard Model, that could ultimately reveal a hint for new physics. The mass of the $W$ boson is determined by comparing the $W$ boson, which cannot be reconstructed directly, to the $Z$ boson, where the full decay signature is available. With the help of Monte Carlo simulations one can extrapolate from the $Z$ boson to the $W$ boson. Technically speaking, the measurement of the $W$ boson mass is performed by comparing data taken by the ATLAS experiment to a set of calibrated Monte Carlo simulations, which reflect different mass hypotheses.\ A dedicated calibration of the reconstructed objects in the simulations is crucial for a high precision of the measured value. The comparison of simulated $Z$ boson events to reconstructed $Z$ boson candidates in data allows to derive event weights and scale factors for the calibration. This thesis presents a new approach to reweight the hadronic recoil in the simulations. The focus of the calibration is on the average hadronic activity visible in the mean of the scalar sum of the hadronic recoil $\Sigma E_T$ as a function of pileup. In contrast to the standard method, which directly reweights the scalar sum, the dependency to the transverse boson momentum is less strongly affected here. The $\Sigma E_T$ distribution is modeled first by means of its pileup dependency. Then, the remaining differences in the resolution of the vector sum of the hadronic recoil are scaled. This is done separately for the parallel and the pterpendicular component of the hadronic recoil with respect to the reconstructed boson. This calibration was developed for the dataset taken by the ATLAS experiment at a center of mass energy of $8\,\textrm{TeV}$ in 2012. In addition, the same reweighting procedure is applied to the recent dataset with a low pileup contribution, the \textit{lowMu} runs at $5\,\textrm{TeV}$ and at $13\,\textrm{TeV}$, taken by ATLAS in November 2017. The dedicated aspects of the reweighting procedure are presented in this thesis. It can be shown that this reweighting approach improves the agreement between data and the simulations effectively for all datasets. The uncertainties of this reweighting approach as well as the statistical errors are evaluated for a $W$ mass measurement by a template fit to pseudodata for the \textit{lowMu} dataset. A first estimate of these uncertainties is given here. For the pfoEM algorithm a statistical uncertainty of $17\,\text{MeV}$ for the $5\,\textrm{TeV}$ dataset and of $18\,\text{MeV}$ for the $13\,\textrm{TeV}$ are found for the $W \rightarrow \mu \nu$ analysis. The systematic uncertainty introduced by the resolution scaling has the largest effect, a value of $15\,\text{MeV}$ is estimated for the $13\,\textrm{TeV}$ dataset in the muon channel.

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.