Jiangyong Jia, Soumya Mohapatra
A method is proposed to measure the relative azimuthal angle distributions involving two or more event planes of different order in heavy ion collisions using a Fourier analysis technique. The analysis procedure is demonstrated for correlations involving two and three event planes ($\Phi_n$, $\Phi_m$ and $\Phi_{h}$). The Fourier coefficients of these distributions are found to coincide with previously proposed correlators, such as $\cos(6\Phi_{2}-6\Phi_{3})$ and $\cos(\Phi_{1}+2\Phi_{2}-3\Phi_{3})$ etc, hence the method provides a natural framework for studying these correlators at the same time. Using a Monte Carlo Glauber model to simulate Au+Au collisions with fluctuating initial geometry, we are able to identify several new two- or three-plane correlators that have sizable magnitudes and should be measured experimentally.
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http://arxiv.org/abs/1203.5095
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