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The ALICE collaboration at the LHC reports measurement of the inclusiveproduction cross section of electrons from semi-leptonic decays of beautyhadrons with rapidity $|y|<0.8$ and transverse momentum $1<p_{\mathrm{T}}<10$GeV/$c$, in pp collisions at $\sqrt{s} = $ 2.76 TeV. Electrons not originatingfrom semi-electronic decay of beauty hadrons are suppressed using the impactparameter of the corresponding tracks. The production cross section of beautydecay electrons is compared to the result obtained with an alternative methodwhich uses the distribution of the azimuthal angle between heavy-flavour decayelectrons and charged hadrons. Perturbative QCD calculations agree with themeasured cross section within the experimental and theoretical uncertainties.The integrated visible cross section, $\sigma_{\mathrm{b} \rightarrow\mathrm{e}} =3.47\pm0.40(\mathrm{stat})^{+1.12}_{-1.33}(\mathrm{sys})\pm0.07(\mathrm{norm})\mu$b, was extrapolated to full phase space using Fixed Order plusNext-to-Leading Log (FONLL) predictions to obtain the total b$\bar{\mathrm{b}}$production cross section, $\sigma_{\mathrm{b\bar{b}}} =130\pm15.1(\mathrm{stat})^{+42.1}_{-49.8}(\mathrm{sys})^{+3.4}_{-3.1}(\mathrm{extr})\pm2.5(\mathrm{norm})\pm4.4(\mathrm{BR})\mu$b.

Beauty production in pp collisions at $\sqrt{s}$ = 2.76 TeV measured via semi-electronic decays