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

TL;DR

This paper introduces a correction method for finite pseudo-rapidity coverage effects on the azimuthal dependence of global spin alignment measurements of vector mesons in heavy-ion collisions, verified through Monte-Carlo simulations.

Contribution

It proposes a novel correction technique for finite coverage effects on spin alignment measurements, enhancing accuracy in experimental analysis.

Findings

The correction method effectively accounts for finite pseudo-rapidity coverage.

Monte-Carlo simulations validate the accuracy of the proposed correction.

The method improves the reliability of azimuthal dependence measurements of spin alignment.

Abstract

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