Multiparticle azimuthal cumulants from transverse momentum conservation and collective flow

Abstract

We calculate the $n$th order of $2k$-particle azimuthal cumulants $c_n\{2k\}$ based on transverse momentum conservation (TMC) and collective flow $v_n$(n=2,3). We demonstrate that the TMC effect only leads to a nonzero $c_n\{2k\}$ with the sign of $(-1{)}^{nk}$ and the magnitude inversely proportional to $(N-2k{)}^{nk}$. The interplay between TMC and collective flow can change the signs of $c_2\{4\}$, $c_3\{2\}$ and $c_3\{4\}$ at some values of multiplicity $N$, which could provide a good probe to study the onset of collectivity and search for the substructure of proton in small colliding systems.

11 pages, 3 figures, final published version

References in corpus (13)

• The order of the quantum chromodynamics transition predicted by the standard model of particle physics
• The ridge in proton-proton collisions at the LHC
• Evidence for collective multi-particle correlations in pPb collisions
• Canonical partition function and finite density phase transition in lattice QCD
• Multi-particle azimuthal correlations in p-Pb and Pb-Pb collisions at the CERN Large Hadron Collider
• Elliptic and triangular flow in p+Pb and peripheral Pb+Pb collisions from parton scatterings
• Azimuthal correlations from transverse momentum conservation and possible local parity violation
• Long-range azimuthal correlations in proton-proton and proton-nucleus collisions from the incoherent scattering of partons
• Global Conservation Laws and Femtoscopy of Small Systems
• Conservation Laws and the Multiplicity Evolution of Spectra at the Relativistic Heavy Ion Collider
• High order cumulants of the azimuthal anisotropy in the dilute-dense limit: Connected graphs
• Elliptic flow coefficients from transverse momentum conservation
• Parton collisional effect on the conversion of geometry eccentricities into momentum anisotropies in relativistic heavy-ion collisions

Cited by in corpus (3)

• Effect of global momentum conservation on longitudinal flow decorrelation
• Symmetric cumulant $s{c}_{2,4}\left\{4\right\}$ and asymmetric cumulant $a{c}_2\left\{3\right\}$ from transverse momentum conservation and flow
• Effect of transverse momentum conservation and flow on symmetric cumulants $s{c}_{2,3}\left\{4\right\}$ and $s{c}_{2,3,4}\left\{6\right\}$