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A combination of measurements of the inclusive top-quark pair productioncross-section performed by ATLAS and CMS in proton-proton collisions atcentre-of-mass energies of 7 and 8 TeV at the LHC is presented. Thecross-sections are obtained using top-quark pair decays with an opposite-chargeelectron-muon pair in the final state and with data corresponding to anintegrated luminosity of about 5 fb$^{-1}$ at $\sqrt{s}=7$ TeV and about 20fb$^{-1}$ at $\sqrt{s}=8$ TeV for each experiment. The combined cross-sectionsare determined to be $178.5 \pm 4.7$ pb at $\sqrt{s}=7$ TeV and$243.3^{+6.0}_{-5.9}$ pb at $\sqrt{s}=8$ TeV with a correlation of 0.41, usinga reference top-quark mass value of 172.5 GeV. The ratio of the combinedcross-sections is determined to be $R_{8/7}= 1.363\pm 0.032$. The combinedmeasured cross-sections and their ratio agree well with theory calculationsusing several parton distribution function (PDF) sets. The values of thetop-quark pole mass (with the strong coupling fixed at 0.118) and the strongcoupling (with the top-quark pole mass fixed at 172.5 GeV) are extracted fromthe combined results by fitting a next-to-next-to-leading-order plusnext-to-next-to-leading-log QCD prediction to the measurements. Using a versionof the NNPDF3.1 PDF set containing no top-quark measurements, the resultsobtained are $m_t^\text{pole} = 173.4^{+1.8}_{-2.0}$ GeV and$\alpha_\text{s}(m_Z)= 0.1170^{+ 0.0021}_{-0.0018}$.

Combination of inclusive top-quark pair production cross-section measurements using ATLAS and CMS data at $\sqrt{s}= 7$ and 8 TeV