Analysis class

[Hendrik1704]

What do we want?

• Flow analysis:

• reaction plane flow (integrated)

• reaction plane flow (differential)

• event plane flow (integrated)

• event plane flow (differential)

• scalar product flow (integrated)

• scalar product flow (differential)

• Q-cumulants flow (integrated)

• Q-cumulants flow (differential)

• Cumulant flow (integrated)

• Cumulant flow (differential)

• LYZ flow (integrated)

• LYZ flow (differential)

• PCA flow (integrated)

• PCA flow (differential)

• SC(n,m)

• NSC(n,m)

• Eccentricities as function of time needs time dependent OSCAR readin

• Multiplicities (centrality classes)

[Hendrik1704]

I just want to mention here that for the further implementation and the reviews of upcoming PRs I will need some help with the flow methods.
Maybe it's a good idea if we educate ourselves about the different methods before the next sprint in order to check the preliminary implementation of some of the flow methods (plus some probable adjustments/corrections needed) and add the missing ones.
That's why I'm going to assign all of us to this issue now.

Later this day I will share some references for the different flow methods, which are a good starting point for the implementation.

[NGoetz]

Sure, I on my side would be up for doing a SPARKX sprint centered around this topic.

[Hendrik1704]

Here is a list of literature on the different flow methods. As the literature is quite extensive, I suggest focusing on two methods first. Probably it's best to start with the Q-Cumulants (implementation of integrated flow is almost complete) and the LYZ method (implemented, testing needed).
In the next step, we can go further and check the implementation of the PCA method. The concept is a bit different, but there are familiar quantities when one has a closer look.
The last thing I would implement is the cumulant method. This is the original method introduced in 2001. Later on, there was some propaganda that it is not efficient in the computation, but this is not true when one implements it correctly.

• Q-Cumulants:
  • Phys.Rev.C 83 (2011) 044913 Sect. II - IV, Appendix
  • PhD Thesis A. Bilandzic Contains additional information (error computation in Appendix, ...)
• Lee-Yang Zeros:
  • Phys.Lett.B 580 (2004) 157-162 short introduction
  • Nucl.Phys.A 727 (2003) 373-426 Starting from Sec. II there is quite extensive discussion of the method, Appendix is also important here
  • J.Phys.G 30 (2004) S1213-S1216 constructive proceedings article with a recipe to compute LYZ flow
• PCA Flow:
  • Phys.Rev.Lett. 114 (2015) 15, 152301 This is the first PCA flow paper. There is more in the PhD thesis of A. Mazeliauskas / papers of him with D. Teaney
  • Bachelor Thesis BJW Verweij This implements the method for Alice data and in the Appendix there is a code example using root. I tried to follow this part of the code.
• Cumulant method:
  • Phys. Rev. C 63 (2001) 054906 First cumulant paper
  • Phys. Rev. C 63 (2001) 054906 Second cumulant paper
  • Web N. Borghini Here is a working example code for some cumulants