In-situ Jet Calibration and Electro-Weak Induced Production of W$\gamma$ in Association With Two Jets at ATLAS

Differential cross-section measurements of the electroweak production of $W\gamma$ in association with two jets are made using proton-proton collision data with an integrated luminosity of $140\text{fb}^{-1}$ and a centre-of-mass energy of $\sqrt{s}=13\hspace{2pt}\text{TeV}$, recorded by the ATLAS detector. Six different observables are used to present the differential cross-sections, where these observables are chosen due to their anticipated sensitivity to anomalous quartic gauge couplings and CP-violating interactions. The differential cross-section measurements are presented at particle-level after applying corrections to account for detector inefficiencies. These corrections are applied to differential signal yields which are obtained through a minimum log-likelihood fit of the data to simulations and data-driven background estimates. The measured differential cross-sections are compared to predictions from simulation, and are found to be compatible within statistical and systematic uncertainties. Correction factors to the jet energy scale calibration for large-radius jets are presented. These residual insitu corrections account for detector mismodelling in applying the simulation derived jet energy scale to data. The calibration is performed using \zjets events in both the electron and muon decay channels, and are found to be most relevant in the kinematic range of $200\hspace{2pt}\text{GeV}\leq p_{\text{T}}^{\text{jet}}\leq500\hspace{2pt}\text{GeV}$, where $p_{\text{T}}^{\text{jet}}$ represents the jet transverse momentum. The total uncertainty on the insitu calibration factor is found to range from $0.5-1.5\%$ depending on the decay channel and $p_{\text{T}}^{\text{jet}}$ bin.