Transverse spherocity and multiplicity dependence of $R_{2}$ and $P_{2}$ correlation functions in pp collisions

Abstract

Transverse spherocity($S_{0}$) has evolved as a powerful tool to separate soft and hard contributions in an event in small collision systems. We used two-particle differential-number correlation functions, $R_{2}$, and transverse momentum correlation functions, $P_{2}$, of charged particles produced in pp collisions at $\sqrt{\textit{s}}$ = 7 TeV with the PYTHIA model to understand this phenomena. The $\Delta\varphi$-dependance of these correlation functions in different multiplicity and $S_{0}$ classes are studied. In addition, mean-$\textit{p}_{\rm T}$ of charged particles for low-$S_{0}$, high-$S_{0}$ and $S_{0}$-integrated are discussed. Finally, it was observed that $S_{0}$ should be a good observable as compared to multiplicity to disentangle jetty and isotropic events in a small collision system.