Abstract:
This paper presents the combinations of single-top-quark production cross-section measurements by the ATLAS and CMS Collaborations, using data from LHC proton-proton collisions at \(\sqrt{s}\) = 7 and 8 TeV corresponding to integrated luminosities of 1.17 to 5.1 fb⁻¹ at \(\sqrt{s}\) = 7 TeV and 12.2 to 20.3 fb⁻¹ at \(\sqrt{s}\)=8TeV. These combinations are performed per centre-of-mass energy and for each production mode: \(t\)-channel, \(tW\), and \(s\)-channel. The combined \(t\)-channel cross-sections are 67.5 ± 5.7 pb and 87.7 ± 5.8 pb at \(\sqrt{s}\) = 7 and 8 TeV respectively. The combined \(tW\) cross-sections are 16.3 ± 4.1 pb and 23.1 ± 3.6 pb at \(\sqrt{s}\) = 7 and 8 TeV respectively. For the \(s\)-channel cross-section, the combination yields 4.9 ± 1.4 pb at \(\sqrt{s}\)=8TeV. The square of the magnitude of the CKM matrix element \(V_{tb}\) multiplied by a form factor f LV is determined for each production mode and centre-of-mass energy, using the ratio of the measured cross-section to its theoretical prediction. It is assumed that the top-quark-related CKM matrix elements obey the relation \(|V_{td}|,|V_{ts}| ≪ |V_{tb}|\). All the \(|f_{LV}V_{tb}|^2\) determinations, extracted from individual ratios at \(\sqrt{s}\) = 7 and 8 TeV, are combined, resulting in \(|f_{LV}V_{tb}|\) = 1.02 ± 0.04 (meas.) ± 0.02 (theo.). All combined measurements are consistent with their corresponding Standard Model predictions.