Combinations of single-top-quark production cross-section measurements and |fLVVtb| determinations at $$ \sqrt{s} $$ = 7 and 8 TeV with the ATLAS and CMS experiments

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<jats:title>A<jats:sc>bstract</jats:sc> </jats:title> <jats:p>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 <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ \sqrt{s} $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> </mml:math> </jats:alternatives> </jats:inline-formula> = 7 and 8 TeV corresponding to integrated luminosities of 1.17 to 5.1 fb<jats:sup>−1</jats:sup> at <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ \sqrt{s} $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> </mml:math> </jats:alternatives> </jats:inline-formula> = 7 TeV and 12.2 to 20.3 fb<jats:sup>−1</jats:sup> at <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ \sqrt{s} $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> </mml:math> </jats:alternatives> </jats:inline-formula> = 8 TeV. These combinations are performed per centre-of-mass energy and for each production mode: <jats:italic>t</jats:italic>-channel, <jats:italic>tW</jats:italic>, and <jats:italic>s</jats:italic>-channel. The combined <jats:italic>t</jats:italic>-channel cross-sections are 67.5 ± 5.7 pb and 87.7 ± 5.8 pb at <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ \sqrt{s} $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> </mml:math> </jats:alternatives> </jats:inline-formula> = 7 and 8 TeV respectively. The combined <jats:italic>tW</jats:italic> cross-sections are 16.3 ± 4.1 pb and 23.1 ± 3.6 pb at <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ \sqrt{s} $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> </mml:math> </jats:alternatives> </jats:inline-formula> = 7 and 8 TeV respectively. For the <jats:italic>s</jats:italic>-channel cross-section, the combination yields 4.9 ± 1.4 pb at <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ \sqrt{s} $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> </mml:math> </jats:alternatives> </jats:inline-formula> = 8 TeV. The square of the magnitude of the CKM matrix element <jats:italic>V</jats:italic> <jats:sub> <jats:italic>tb</jats:italic> </jats:sub> multiplied by a form factor <jats:italic>f</jats:italic> <jats:sub>LV</jats:sub> 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 |<jats:italic>V</jats:italic> <jats:sub> <jats:italic>td</jats:italic> </jats:sub>|, |<jats:italic>V</jats:italic> <jats:sub> <jats:italic>ts</jats:italic> </jats:sub>| ≪ |<jats:italic>V</jats:italic> <jats:sub> <jats:italic>tb</jats:italic> </jats:sub>|. All the |<jats:italic>f</jats:italic> <jats:sub>LV</jats:sub> <jats:italic>V</jats:italic> <jats:sub> <jats:italic>tb</jats:italic> </jats:sub>|<jats:sup>2</jats:sup> determinations, extracted from individual ratios at <jats:inline-formula> <jats:alternatives> <jats:tex-math>$$ \sqrt{s} $$</jats:tex-math> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"> <mml:msqrt> <mml:mi>s</mml:mi> </mml:msqrt> </mml:math> </jats:alternatives> </jats:inline-formula> = 7 and 8 TeV, are combined, resulting in |<jats:italic>f</jats:italic> <jats:sub>LV</jats:sub> <jats:italic>V</jats: ...

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