Effect of transverse momentum conservation and flow on symmetric cumulants $sc_{2,3} \left \{ 4 \right \}$ and $sc_{2,3,4} \left \{ 6 \right \}$

Abstract: Symmetric cumulants can improve our understanding of the joint probability distribution function $ P\left ( v_{m},v_{n},v_{k}, \dots,\Psi {m},\Psi _{n},\Psi _{k},\dots \right )$, potentially offering new insights into the nature of the fluctuations of the quark-gluon plasma produced in relativistic heavy-ion collisions. In this work, the four-particle symmetric cumulants $sc{2,3} \left { 4 \right }$, six-particle symmetric cumulants $sc_{2,3,4} \left { 6 \right }$, and the normalized cumulants $nsc_{2,3} \left { 4 \right }$ and $nsc_{2,3,4} \left { 6 \right }$ originating from transverse momentum conservation, collective flow, and the interplay between the two effects are calculated. Our results are consistent with the ATLAS data using the subevent cumulant method and the simulations using the realistic Monte Carlo models of iEBE-VISHNU and HIJING, facilitating a more profound understanding of the origins of these symmetric cumulants in small systems.