Measurements of the electron and muon inclusive cross-sections in proton-proton collisions at sqrt{s} = 7 TeV with the ATLAS detector

We present the measurements of the differential cross-sections for inclusive electron and muon production in proton-proton collisions at a centre-of-mass energy of $sqrt{s} = $~7~TeV, using $sim$1.4 pb$^{-1}$ of data collected by the ATLAS detector at the Large Hadron Collider. The muon cross-section is measured as a function of $p_mathrm{T}$ in the range $ 4 < p_mathrm{T} < 100$ GeV and within pseudorapidity $|eta| < 2.5$. In addition the electron and muon cross-sections are measured in the range $ 7 < p_mathrm{T} < 26$ GeV and within $|eta| <2.0$, excluding $1.37<|eta|<1.52$. After subtraction of the $W$/$Z$/$gamma^{ast}$ contribution, the differential cross-sections are found to be in good agreement with theoretical predictions for heavy-flavour (HF) production obtained from Fixed Order NLO calculations with NLL high-p$_mathrm{T}$ resummation, and to be sensitive to the effects of NLL resummation.