TY - JOUR
T1 - Systematic procedure for analyzing cumulants at any order
AU - Di Francesco, Philippe
AU - Guilbaud, Maxime
AU - Luzum, Matthew
AU - Ollitrault, Jean Yves
N1 - Funding Information:
This work is funded under the USP-COFECUB project Uc Ph 160-16 (2015/13) and under the FAPESP-CNRS project 2015/50438-8. PDF is supported by the NSF Grant No. DMS-1301636 and the Morris and Gertrude Fine endowment. M.G. is supported under DOE Contract No. DE-SC0012185 and the Welch Foundation (Grant No. C-1845), and thanks Wei Li and Hubert Hansen for discussions. J.Y.O. thanks the Department of Theoretical Physics, Mumbai, where this paper was written, for hospitality and financial support.
Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/4/24
Y1 - 2017/4/24
N2 - We present a systematic procedure for analyzing cumulants to arbitrary order in the context of heavy-ion collisions. It generalizes and improves existing procedures in many respects. In particular, particles which are correlated are allowed to belong to different phase-space windows, which may overlap. It also allows for the analysis of cumulants at any order, using a simple algorithm rather than complicated expressions to be derived and coded by hand. In the case of azimuthal correlations, it automatically corrects to leading order for detector nonuniformity, and it is useful for numerous other applications as well. We discuss several of these applications: anisotropic flow, event-plane correlations, symmetric cumulants, and net baryon and net charge fluctuations.
AB - We present a systematic procedure for analyzing cumulants to arbitrary order in the context of heavy-ion collisions. It generalizes and improves existing procedures in many respects. In particular, particles which are correlated are allowed to belong to different phase-space windows, which may overlap. It also allows for the analysis of cumulants at any order, using a simple algorithm rather than complicated expressions to be derived and coded by hand. In the case of azimuthal correlations, it automatically corrects to leading order for detector nonuniformity, and it is useful for numerous other applications as well. We discuss several of these applications: anisotropic flow, event-plane correlations, symmetric cumulants, and net baryon and net charge fluctuations.
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U2 - 10.1103/PhysRevC.95.044911
DO - 10.1103/PhysRevC.95.044911
M3 - Article
AN - SCOPUS:85018576634
SN - 2469-9985
VL - 95
JO - Physical Review C
JF - Physical Review C
IS - 4
M1 - 044911
ER -