{"@context":"http://schema.org","@id":"https://doi.org/10.17182/hepdata.159929.v1","@reverse":{"isBasedOn":[{"@type":"ScholarlyArticle","identifier":{"@type":"PropertyValue","propertyID":"URL","value":"https://inspirehep.net/literature/2928639"}},{"@id":"https://doi.org/10.1103/75tf-ljtk","@type":"JournalArticle"}]},"@type":"Dataset","additionalType":"Collection","author":{"@type":"Organization","name":"STAR Collaboration"},"creator":{"@type":"Organization","name":"STAR Collaboration"},"datePublished":"2026","description":"STAR-RHIC. Measurements of the variation of anisotropic flow-plane angles ($\\Psi_n$) with rapidity, commonly known as the flow-plane decorrelation, provide important insights into the initial conditions of the matter produced in heavy-ion collisions. In this paper, using data collected by the STAR experiment, we report the first measurement of the four-plane correlator observable $T_{n}\\{ba;dc\\}=\\langle\\langle\\sin [n(\\Psi^{b}_{n}-\\Psi^{a}_{n})]\\sin[n(\\Psi^{d}_{n}-\\Psi^{c}_{n})]\\rangle\\rangle$, where superscripts $a$, $b$, $c$, and $d$ denote sequential pseudorapidity ($\\eta$) regions with $a$ corresponding to the most backward region, $b$ and $c$ close to mid-rapidity with $\\eta_b<0$ and $\\eta_c>0$, and $d$ being the most forward. The measurement is performed for the elliptic and triangular flow (i.e. $n=2$ and $3$) in Au+Au and isobar (Ru+Ru, Zr+Zr) collisions at $\\sqrt{s_{_{\\mathrm{NN}}}}$ = 200 GeV. The goal of calculating the correlation of the flow-plane angle variations from backward to mid-central, and from mid-central to forward regions, is to probe the systematic variation of flow angle over a wide $\\eta$ range. In mid-central collisions ($10-30\\%$ centrality), we find $T_{2}\\{ba;dc\\}= -0.004\\pm 0.001 (\\rm stat)\\pm0.002(\\rm syst)$ independent of the collision system. Such a small value of $T_{2}$ favors a \u201crandom-walk\u201d variation of the flow-plane angles, where the rapidity correlation length is smaller than the entire region under study. These measurements provide new information on the decorrelation patterns in the system and offer a quantitative estimate of possible systematic variations in anisotropic flow angles such as \u201ctwist\u201d between forward and backward regions. This opens new opportunities for understanding the three-dimensional structure and the time evolution of the quark-gluon plasma created in heavy-ion collisions.","hasPart":[{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t1","@type":"Dataset","description":"The second harmonic sub-event plane resolutions from the TPC, EPD, and BBC.","name":"Fig. 2 Data Table 0"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t2","@type":"Dataset","description":"The third harmonic sub-event plane resolutions from the TPC and EPD.","name":"Fig. 2 Data Table 1"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t3","@type":"Dataset","description":"Resolution $Res(T_{2})$ plots for the Q-level calculations using Ru+Ru and Zr+Zr collisions for the second-order anisotropic flow.","name":"Fig. 3 Data Table 2"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t4","@type":"Dataset","description":"Resolution $Res(T_{2})$ plots for the Particle-level calculations using Ru+Ru and Zr+Zr collisions for the second-order anisotropic flow.","name":"Fig. 3 Data Table 3"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t5","@type":"Dataset","description":"Resolution $Res(T_{3})$ plots for the Q-level calculations using Ru+Ru and Zr+Zr collisions for the third-order anisotropic flow.","name":"Fig. 4 Data Table 4"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t6","@type":"Dataset","description":"Resolution $Res(T_{3})$ plots for the Particle-level calculations using Ru+Ru and Zr+Zr collisions for the third-order anisotropic flow.","name":"Fig. 4 Data Table 5"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t7","@type":"Dataset","description":"Centrality dependence of different terms contributing to $T^{obs}_{2}$ Q-level cumulant calculations using Ru+Ru and Zr+Zr collisions for the second-order anisotropic...","name":"Fig. 5 Data Table 6"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t8","@type":"Dataset","description":"Centrality dependence of different terms contributing to $T^{obs}_{2}$ Particle-level cumulant calculations using Ru+Ru and Zr+Zr collisions for the second-order anisotropic...","name":"Fig. 5 Data Table 7"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t9","@type":"Dataset","description":"Centrality dependence of different terms contributing to $T^{obs}_{3}$ Q-level cumulant calculations using Ru+Ru and Zr+Zr collisions for the third-order anisotropic...","name":"Fig. 6 Data Table 8"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t10","@type":"Dataset","description":"Centrality dependence of different terms contributing to $T^{obs}_{3}$ Particle-level cumulant calculations using Ru+Ru and Zr+Zr collisions for the third-order anisotropic...","name":"Fig. 6 Data Table 9"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t11","@type":"Dataset","description":"Centrality dependence of ratio obserbavle $r_{2}$ using Ru+Ru and Zr+Zr collisions for the second-order anisotropic flow.","name":"Fig. 7 Data Table 10"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t12","@type":"Dataset","description":"Centrality dependence of ratio obserbavle $r_{3}$ using Ru+Ru and Zr+Zr collisions for the third-order anisotropic flow.","name":"Fig. 7 Data Table 11"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t13","@type":"Dataset","description":"Centrality dependence of ratio obserbavle $r_{2}$ (Particle-level) vs $r^{ si}_{2}$ (Q-level) for the second-order anisotropic flow in Ru+Ru and Zr+Zr...","name":"Fig. 8 Data Table 12"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t14","@type":"Dataset","description":"Centrality dependence of ratio obserbavle $r_{3}$ (Particle-level) vs $r^{ si}_{3}$ (Q-level) for the third-order anisotropic flow in Ru+Ru and Zr+Zr...","name":"Fig. 8 Data Table 13"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t15","@type":"Dataset","description":"Centrality dependence of $T_{2}$ obserbavle (Particle-level vs Q-level calculations) for the second-order anisotropic flow in Ru+Ru and Zr+Zr collisions combined....","name":"Fig. 9 Data Table 14"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t16","@type":"Dataset","description":"Centrality dependence of $T_{3}$ obserbavle (Particle-level vs Q-level calculations) for the third-order anisotropic flow in Ru+Ru and Zr+Zr collisions combined....","name":"Fig. 9 Data Table 15"},{"@id":"https://doi.org/10.17182/hepdata.159929.v1/t17","@type":"Dataset","description":"Centrality dependence of $T_{2}$ obserbavle for the second-order anisotropic flow in isobar (Ru+Ru and Zr+Zr collisions combined) vs Au+Au collisions....","name":"Fig. 10 Data Table 16"}],"identifier":[{"@type":"PropertyValue","propertyID":"HEPDataRecord","value":"https://www.hepdata.net/record/ins2928639?version=1"},{"@type":"PropertyValue","propertyID":"HEPDataRecordAlt","value":"https://www.hepdata.net/record/159929"}],"inLanguage":"en","name":"Measurement of the longitudinal flow-plane decorrelation using multi-plane cumulants in $\\sqrt{s_{_{\\mathrm{NN}}}}$ = 200 GeV Au+Au, Ru+Ru, and Zr+Zr collisions","provider":{"@type":"Organization","name":"HEPData"},"publisher":{"@type":"Organization","name":"HEPData"},"url":"https://www.hepdata.net/record/ins2928639?version=1","version":1}