Production of charm jets tagged with $\mathrm{D^{0}}$ mesons in pp collisions at $\sqrt{s} = 13$ TeV with ALICE

The production of charm jets tagged with fully reconstructed $\mathrm{D^{0}}$ mesons measured at $\sqrt{s}~=~13$ TeV by the ALICE detector at the CERN LHC, is presented in this thesis. The $\mathrm{D^{0}}$ mesons are reconstructed through the hadronic decay channel $\mathrm{D^{0}}\rightarrow\mathrm{K}^{-}\pi^{+}$ and its charge conjugate. Jets are reconstructed from charged-particle tracks and the $\mathrm{D^{0}}$ candidate using the anti-$k_\mathrm{T}$ algorithm. Results are given for the jet resolution parameters $R=0.2$, $0.4$, and $0.6$ in the pseudorapidity range $\eta_{\mathrm{ch. jet}}<(0.9-R)$ and charged-particle jet transverse momentum $5 < p_{\mathrm{T,ch\,jet}}<50$ GeV/$c$. The $p_{\mathrm{T,ch\,jet}}$-differential cross-section and the parallel momentum fraction carried by the $\mathrm{D^{0}}$, $z_{||}^{\mathrm{ch}}$, is presented in this thesis. The measurement of in-jet fragmentation can provide valuable information for constraining gluon-to-hadron fragmentation functions, and this measurement provides a unique insight into intermediate transverse momentum. The measurement is compared to several Monte Carlo generators with both leading-order and next-to-leading-order accuracy. The models describe the main features of the $p_{\mathrm{T,ch\,jet}}$ spectra well and provide a good description of the $z_{||}^{\mathrm{ch}}$ distributions for $p_{\mathrm{T,ch\,jet}}>10$ GeV/$c$. A discrepancy in $z_{||}^{\mathrm{ch}}$ between data and models is observed for lower $p_{\mathrm{T,ch\,jet}}$.