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The global spin alignment of vector mesons is a powerful probe to study thevorticity field of the system produced in non-central relativistic heavy-ioncollisions. Since the experimental observables of global spin alignment aresensitive to many factors, proper corrections are need to be taken care of whenmeasuring the global spin alignment of vector mesons. In this paper, we proposea method to correct the effect of finite pseudo-rapidity coverage when extractthe azimuthal dependence of spin alignment parameter $\rho_{00}$. The effectsof the finite pseudo-rapidity coverage on the azimuthal dependence of $\phi$meson spin alignment and the potentially exist intrinsic spin alignment effectsare taken into consideration. The method presented in this paper is verified ina Monte-Carlo simulation, it allows the measurements of azimuthal dependence ofglobal spin alignment to be conducted properly and accurately.

Practical considerations for the effect of finite coverage on the azimuthal dependence of global spin alignment