A$_{C}$ = (N($\Delta \vert $y$\vert >$0) $−$ N($\Delta \vert $y$\vert <$0) ) $/$ (N($\Delta \vert $y$\vert >$0) + N($\Delta \vert $y$\vert <$0) ) where $\Delta \vert $y$\vert $ = $\vert $y$_{{{\mathit t}}}\vert $ $−$ $\vert $y$_{{{\overline{\mathit t}}}}\vert $ is the difference between the absolute values of the top and antitop rapidities and N is the number of events with $\Delta \vert $y$\vert $ positive or negative.

VALUE (%) DOCUMENT ID TECN  COMMENT • • We do not use the following data for averages, fits, limits, etc. • • $0.5$ $\pm0.7$ $\pm0.6$ 1 AABOUD 2018 AM LHC ATLAS+CMS combination (lepton + jets) $2.1$ $\pm2.5$ $\pm1.7$ 2 AAD 2015 AJ ATLS ${{\mathit \ell}}{{\mathit \ell}}$ +$\not E_T$ +${}\geq{}$2j $0.6$ $\pm1.0$ 3 AAD 2014 I ATLS ${{\mathit \ell}}$ +$\not E_T$ +${}\geq{}$4j (${}\geq{}$1b) $-1.0$ $\pm1.7$ $\pm0.8$ 4 CHATRCHYAN 2014 D CMS ${{\mathit \ell}}{{\mathit \ell}}$ +$\not E_T$ +${}\geq{}$2j (${}\geq{}$1b) $-1.9$ $\pm2.8$ $\pm2.4$ 5 AAD 2012 BK ATLS ${{\mathit \ell}}$ +$\not E_T$ +${}\geq{}$4j (${}\geq{}$1b) $0.4$ $\pm1.0$ $\pm1.1$ 6 CHATRCHYAN 2012 BB CMS ${{\mathit \ell}}$ +$\not E_T$ +${}\geq{}$4j (${}\geq{}$1b) $-1.3$ $\pm2.8$ ${}^{+2.9}_{-3.1}$ 7 CHATRCHYAN 2012 BS CMS ${{\mathit \ell}}$ +$\not E_T$ +${}\geq{}$4j (${}\geq{}$1b) 1  ATLAS and CMS combination based on the data of AAD 2014I and CHATRCHYAN 2012BB. It takes into account the correlations of the measurements and systematic errors. The result is in agreement with the SM prediction (NLO QCD + NLO EW). 2  AAD 2015AJ based on 4.6 fb${}^{-1}$ of data. After kinematic reconstruction the top quark momenta are corrected for detector resolution and acceptance effects by unfolding, using parton level information of the MC generators. The lepton charge asymmetry is measured as A${}^{{{\mathit \ell}}}_{C}$ = $0.024$ $\pm0.015$ $\pm0.009$. All the measurements are consistent with the SM predictions. 3  Based on 4.7 fb${}^{-1}$ of data. The result is consistent with the SM prediction of A$_{C}$ = $0.0123$ $\pm0.0005$. The asymmetry is $0.011$ $\pm0.018$ if restricted to those events where $\beta _{Z}$( ${{\mathit t}}{{\overline{\mathit t}}}$ ) $>$ 0.6, which is also consistent with the SM prediction of $0.020$ ${}^{+0.006}_{-0.007}$. 4  Based on 5.0 fb${}^{-1}$ of data. The lepton charge asymmetry is measured as A${}^{{{\mathit \ell}}}_{C}$ = $0.009$ $\pm0.0010$ $\pm0.006$. A${}^{{{\mathit \ell}}}_{C}$ dependences on ${\mathit m}_{ {{\mathit t}} {{\overline{\mathit t}}} }$, $\vert $y( ${{\mathit t}}{{\overline{\mathit t}}}$ )$\vert $, and ${{\mathit p}_{{T}}}$( ${{\mathit t}}{{\overline{\mathit t}}}$ ) are given in Fig. 5. All measurements are consistent with the SM predictions. 5  Based on 1.04 fb${}^{-1}$ of data. The result is consistent with A$_{C}$ = $0.006$ $\pm0.002$ (MC at NLO). No significant dependence of A$_{C}$ on ${\mathit m}_{\mathrm { {{\mathit t}} {{\overline{\mathit t}}} }}$ is observed. 6  Based on 5.0 fb${}^{-1}$ of data at 7 TeV. 7  Based on 1.09 fb${}^{-1}$ of data. The result is consistent with the SM predictions.

References:

AABOUD 2018AM JHEP 1804 033 Combination of inclusive and differential $ \mathrm{t}\overline{\mathrm{t}} $ charge asymmetry measurements using ATLAS and CMS data at $ \sqrt{s}=7 $ and 8 TeV AAD 2015AJ JHEP 1505 061 Measurement of the Charge Asymmetry in Dileptonic Decays of Top Quark Pairs in ${{\mathit p}}{{\mathit p}}$ Collisions at $\sqrt {s }$ = 7 TeV using the ATLAS Detector AAD 2014I JHEP 1402 107 Measurement of the top Quark Pair Production Charge Asymmetry in Proton-Proton Collisions at $\sqrt {s }$ = 7 TeV using the ATLAS Detector CHATRCHYAN 2014D JHEP 1404 191 Measurements of the ${{\mathit t}}{{\overline{\mathit t}}}$ Charge Asymmetry using the Dilepton Decay Channel in ${{\mathit p}}{{\mathit p}}$ Collisions at $\sqrt {s }$ = 7 TeV AAD 2012BK EPJ C72 2039 Measurement of the Charge Asymmetry in Top Quark Pair Production in ${{\mathit p}}{{\mathit p}}$ Collisions at $\sqrt {s }$ = 7 TeV using the ATLAS Detector CHATRCHYAN 2012BS PL B709 28 Measurement of the Charge Asymmetry in top-Quark Pair Production in Proton$−$Proton Collisions at $\sqrt {s }$ = 7 TeV CHATRCHYAN 2012BB PL B717 129 Inclusive and Differential Measurements of the ${\mathit {\mathit t}}{\mathit {\overline{\mathit t}}}$ Charge Asymmetry in Proton$−$Proton Collisions at $\sqrt {s }$ = 7 TeV