HFEvsMult_AnalysisNote.tex

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\begin{document}
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\begin{titlepage}
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\PHnumber{ALICE-2020-xxx} 
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\title{ Inclusive and multiplicity dependent production of electrons from heavy-flavour hadron decays in pp and \pPb collisions}
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\ShortTitle{electrons from heavy-flavour hadron decays in pp and \pPb collisions.}
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\author{ALICE Collaboration$^{*}$}
\ShortAuthor{ALICE Analysis Note 2017} % appears on left page headers, do not change
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\begin{abstract}

Heavy-flavour production at midrapidity is studied using electrons from heavy-flavour hadron decays in pp collisions at $\sqrt{s}=13$ TeV to precisely test perturbative QCD calculations, and to study effects from cold nuclear matter (CNM) in \pPb collisions at $\sqrt{s_{\rm{NN}}} = 8.16$ TeV. Furthermore, their production in-terms of self-normalized yield as a function of normalized charged-particle multiplicity, estimated at midrapidity, in pp and \pPb collisions is studied to investigate the role of multiple-parton interactions (MPI) and the interplay between hard and soft mechanism in particle production. The production cross section of electrons from heavy-flavour hadron decays measured in the transverse momentum (\pt) range from $0.2$ $< p_{\rm T} <$ $35$ GeV$/c$ in pp collisions at $\sqrt{s}=13$ TeV is compared with pQCD calculation. The nuclear modification factor of electrons from heavy-flavour hadron decays measured as a function of \pt in \pPb collisions at $\sqrt{s_{\rm{NN}}} = 8.16$ TeV in the range 0.5 $< p_{\rm T} <$ 26 GeV/$c$, is consistent with unity within the statistical and systematic uncertainties. The self-normalized yield in pp and \pPb collisions grows faster than linear with the normalized multiplicity. In pp collisions a strong \pt dependence is observed, where the yield of higher \pt electrons increases faster as a function of multiplicity compared to the one of lower \pt electron. The measurement in \pPb collisions shows a weaker \pt dependence within uncertainties. The self-normalized yield in pp collisions is compared with PYTHIA 8.2 Monte-Carlo simulations and with measurements of inclusive charged particles, D-mesons and J/$\psi$. In \pPb collisions, the self-normalized yield as a function of normalized charged-particle multiplicity is compared with D-mesons measurements. 

%Heavy-flavour production studies in pp collisions, besides providing the necessary baseline for measurements in \PbPb collisions, constitute a precision test of perturbative QCD calculations. In complex systems such as \pPb collisions, it gives insights into the cold nuclear matter (CNM) effects. Furthermore, their production as a function of charged-particle multiplicity in pp and \pPb collisions provides insights into the role of multiple-parton interactions (MPI) and the interplay between hard and soft mechanism in particle production. In \pPb collisions, the production is also influenced by the concurrent multiple binary nucleon-nucleon collisions. 
%In this paper, we will present the measurement of the yield of electrons from heavy-flavour hadron decays at midrapidity as a function of the transverse momentum and charged-particle multiplicity estimated at midrapidity (self-normalized yield) in pp collisions at \sqrts = 13 TeV and in \pPb collisions at \sqrtsNN = 8.16 \TeV.
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{\it Keywords:} Heavy-flavour electrons, nuclear modification factor, self-normalized yield, multiplicity, pp collisions, \pPb collisions

\end{abstract}
\end{titlepage}
\input{introduction.tex}
\input{datasampleandselection.tex}
\input{multiplicityanalysis.tex}
\input{heavyflavour.tex}
\input{corrections.tex}
\input{systematics.tex}
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\input{results.tex}
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\input{Conclusion.tex}

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\input{Acknowledgement.tex}

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