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Transverse momentum ($p_T$) and rapidity ($y$) spectra of $Z$ bosons andquarkonium states (some charmonium $c\bar c$ mesons such as $J/\psi$ and$\psi(2S)$, and some bottomonium $b\bar b$ mesons such as $\Upsilon(1S)$,$\Upsilon(2S)$, and $\Upsilon(3S)$) produced in proton-proton ($pp$) andlead-lead (Pb-Pb) collisions at the large hadron collider (LHC) are uniformlydescribed by a hybrid model of two-component Erlang distribution for $p_T$spectrum and two-component Gaussian distribution for $y$ spectrum. The formerdistribution results from a multisource thermal model, and the latter oneresults from the revised Landau hydrodynamic model. The modelling results arein agreement with the experimental data measured in $pp$ collisions atcenter-of-mass energies $\sqrt{s}=2.76$ and 7 TeV, and in Pb-Pb collisions atcenter-of-mass energy per nucleon pair $\sqrt{s_{NN}}=2.76$ TeV. Based on theparameter values extracted from $p_T$ and $y$ spectra, the event patterns(particle scatter plots) in two-dimensional $p_T$-$y$ space and inthree-dimensional velocity space are obtained.

Event patterns extracted from transverse momentum and rapidity spectra of Z bosons and quarkonium states produced in pp and Pb-Pb collisions at LHC