Benchmarking the Non-flow Contributions to the Elliptic Flow Parameter (v䃒) in Proton-Proton Collisions

This manuscript reports on the elliptic flow parameter, v䃒, in proton-proton (p-p) collisions using PYTHIA8 event generator simulations. The typical Event Plane (EP) method v䃒 (EP) besides the algorithm used for the real data analysis has been adopted to measure the v䃒 of particles composed of different quark flavors. The v䃒 of the aforementioned particles was measured at the center of mass energy S_₍₍ = 200 GeV and S_₍₍ = 13 TeV. The pseudorapidity gap techniques, theoretically defined as || = |_₏₀ₑₓ₈₂₋₄ - _₄₏|, between the particle of interest and the soft particles, p_ₓ 2 GeV/c, used for the event plane determinations, have been implemented in the current measurements. The v䃒^^{^, ^⁰}, v䃒^J/, , K, D, B, and the v䃒^₃₈ₑ show similar pattern dependence on the transverse momentum for the same ||, at both S_₍₍ = 200 GeV and S_₍₍ = 13 TeV. At each center-of-mass energy, the v䃒^₃₈ₑ v䃒^J/, , K, D, B v䃒^^{^, ^⁰} for similar ||. The measured v䃒 shows slightly higher values at smaller S_₍₍ for particles of similar ||, particularly at small ||. The measured v䃒 for all particles shows systematic decreases with increasing the || gaps as expected. Since PYTHIA8 does not include final state interactions, the reported v䃒 (EP) is mainly due to the non-flow contributions which should be subtracted from the signal in the real data analysis that uses the same event plane determination algorithm.