Determination of the Strange-Quark Density of the Proton from ATLAS Measurements of the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi><mml:mo>→</mml:mo><mml:mi>ℓ</mml:mi><mml:mi>ν</mml:mi></mml:math>and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>Z</mml:mi><mml:mo>→</mml:mo><mml:mi>ℓ</mml:mi><mml:mi>ℓ</mml:mi></mml:math>Cross Sections

A QCD analysis is reported of ATLAS data on inclusive ${W}^{\ifmmode\pm\else\textpm\fi{}}$ and $Z$ boson production in $pp$ collisions at the LHC, jointly with $ep$ deep-inelastic scattering data from HERA. The ATLAS data exhibit sensitivity to the light quark sea composition and magnitude at Bjorken $x\ensuremath{\sim}0.01$. Specifically, the data support the hypothesis of a symmetric composition of the light quark sea at low $x$. The ratio of the strange-to-down sea quark distributions is determined to be ${1.00}_{\ensuremath{-}0.28}^{+0.25}$ at absolute four-momentum transfer squared ${Q}^{2}=1.9\text{ }\text{ }{\mathrm{GeV}}^{2}$ and $x=0.023$.

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