of $\alpha$, normalized by the overall cross section, i.e.

$$A_\alpha = \frac{\sum_{i, \alpha>0} d\sigma_i/\sigma^{fid} - \sum_{i, \alpha>0} d\sigma_i/\sigma^{fid}}{\sum_{i, \alpha>0} d\sigma_i/\sigma^{fid} + \sum_{i, \alpha>0} d\sigma_i/\sigma^{fid}} = \frac{\sum_{i, \alpha>0} d\sigma_i/\sigma^{fid} - \sum_{i, \alpha>0} d\sigma_i/\sigma^{fid}}{\sigma}$$

The asymmetry $A_\alpha$ can be approximated by a pure data driven quantity $A^{data}_\alpha$, that reduces to a pure counting exercise: $$A^{data}_\alpha = \frac{N_{\alpha<0} - N_{\alpha>0}}{N_{\alpha<0} + N_{\alpha>0}},$$ where $N$ is the number of events in a particular region of $\alpha$. In the following we assume that $A^{data}_\alpha$ is, to a good approximation, equal to $A_\alpha$, since detector related resolution and efficiency effects are expected to be symmetric in $\alpha$, i.e. affect events with positive and negative values of $\alpha$ in the same way and hence cancel in the ratio. This was tested and confirmed using MC simulations. The resulting asymmetries $A_\alpha$ for the full inclusive selection, as well as for the three invariant mass regions of the leading and sub-leading jet, are shown in Table \[tab:AlphaResults\]. The separation in different invariant di-jet masses allows to probe energy dependencies of parity violating effects. All asymmetries are compatible with the Standard Model expectation of zero, within the statistical uncertainties.

[l |c |c |c ]{} Selection & Number of Events ($\alpha<0$) 