Measurements of long-range azimuthal anisotropies and associated Fourier coefficients for pp collisions at √s̅=5.02 and 13 TeV and p +Pb collisions at √s̅_̅(̅N̅N̅)̅=5.02 TeV with the ATLAS detector

ATLAS measurements of two-particle correlations are presented for √s = 5.02 and 13 TeV pp collisions and for √sNN = 5.02 TeV p+Pb collisions at the LHC. The correlation functions are measured as a function of relative azimuthal angle Δφ, and pseudorapidity separation Δη, using charged particles detected within the pseudorapidity interval |η| <2.5. Azimuthal modulation in the long-range component of the correlation function, with |Δη|>2, is studied using a template fitting procedure to remove a “back-to-back” contribution to the correlation function that primarily arises from hard-scattering processes. In addition to the elliptic, cos (2Δφ), modulation observed in a previous measurement, the pp correlation functions exhibit significant cos (3Δφ) and cos (4Δφ) modulation. The Fourier coefficients vn, n associated with the cos (nΔφ) modulation of the correlation functions for n=2–4 are measured as a function of charged-particle multiplicity and charged-particle transverse momentum. The Fourier coefficients are observed to be compatible with cos (nφ) modulation of per-event single-particle azimuthal angle distributions. The single-particle Fourier coefficients are measured as a function of charged-particle multiplicity, and charged-particle transverse momentum for n=2–4. The integrated luminosities used in this analysis are, 64 nb⁻¹ for the √s = 13 TeV pp data, 170 nb⁻¹ for the √s = 5.02 TeV pp data, and 28 nb⁻¹ for the √sNN = 5.02 TeV p+Pb data.