Study of multiplicity dependence of heavy flavor production in p-p collisions using rope hadronization mechanism

The multiplicity dependence of the production of the charm mesons in p$-$p collisions at $\sqrt{s}=7$ TeV and 13 TeV as measured by ALICE experiment has been investigated using Pythia 8 event generator by studying the effect of various processes at partonic level such as the effect of different modes of color reconnections and rope hadronization. The relative yields ($\mathrm{Y}\mathrm{i}\mathrm{e}\mathrm{l}\mathrm{d}\mathrm{/}⟨\mathrm{Y}\mathrm{i}\mathrm{e}\mathrm{l}\mathrm{d}⟩$) of D-mesons and $J\mathrm{/}\psi$ as a function of relative charged particle multiplicity for various transverse momentum ($p\text{textsubscript}T$) ranges as measured by the ALICE experiment are in reasonable agreement with the estimations of Pythia 8 model within the framework of microscopic processes. The relative yields of B mesons for various $p\text{textsubscript}T$ intervals ($1<p_T<20$ GeV/$c$) have also been predicted in p$-$p collisions at $\sqrt{s}=7$ TeV and $\sqrt{s}=13$ TeV.