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The J / ψ  →  μ + μ - candidates originate from prompt and non-prompt production sources, backgrounds with real and fake muon combinations, and real muon pairs producing an invariant mass in the continuum under the J / ψ peak. These various components can be separated into categories using the pseudo-proper time distribution of the J / ψ candidates in combination with the Jψ invariant mass distribution, where the pseudo-proper time, τ , is defined by:

with L x y defined as L x y = L · p T J / ψ / p T J / ψ , L the vector from the primary vertex to the J / ψ decay vertex, m J / ψ the world-average mass of the J / ψ meson [ 55 ], p T J / ψ the transverse momentum of the J / ψ and p T J / ψ = | p T J / ψ | its magnitude. The invariant mass and pseudo-proper time of the selected J / ψ candidates produced in association with a Z boson are shown in Fig.  1 b.

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The J / ψ  →  μ + μ - candidates originate from prompt and non-prompt production sources, backgrounds with real and fake muon combinations, and real muon pairs producing an invariant mass in the continuum under the J / ψ peak. These various components can be separated into categories using the pseudo-proper time distribution of the J / ψ candidates in combination with the Jψ invariant mass distribution, where the pseudo-proper time, τ , is defined by:

with L x y defined as L x y = L · p T J / ψ / p T J / ψ , L the vector from the primary vertex to the J / ψ decay vertex, m J / ψ the world-average mass of the J / ψ meson [ 55 ], p T J / ψ the transverse momentum of the J / ψ and p T J / ψ = | p T J / ψ | its magnitude. The invariant mass and pseudo-proper time of the selected J / ψ candidates produced in association with a Z boson are shown in Fig.  1 b.

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