statistics used, secondly by the assumed systematic uncertainties; its primary goal is to evaluate potential experimental challenges, while the actual constrains on parity violation are of secondary importance. The Standard Model itself should provide no appreciable signal on account of its approximate $CP$-symmetry. While sensitivity might exist to LLIQFT extensions of the Standard Model having larger sources of $CP$-violation, these are probably constrained by data from rare decays. The primary sensitivity, thus, is to extensions which are outside the LLIQFT class altogether.

The paper is structured as follows: Section \[Sec:Intro\] (this introduction) has explained why genuine tests of parity violation in LHC data are important, and discusses the limitations which the LHC imposes on which sources of parity violation are observable; Section \[Sec:ParityViolation\] discusses the properties of the specific parity-odd event-variable, $\alpha$, used in this paper; Section \[Sec:CMS\] summarises the CMS detector, its relevant reconstruction objects, and the data-sets used in this analysis; Section \[Sec:Calibration\] discusses the calibration of the relevant physics objects used (in particular jets) used in this analysis; Section \[sec:Analysis\] details the actual analysis strategy, signal selection and background estimation; Section \[sec:ResultsAndDatasetAsymmetry\] both defines the test statistic $A_\alpha$ which is used to provide the a measure of 