Produce 2D Histograms, and then Violin Plots

[lawrenceleejr]

@cbell1402 will create root files with histograms for:

• 1 TeV Z+gamma
• 4 TeV Z+gamma
• 1 TeV JJJ
• 4 TeV JJJ
• 1 TeV ZZ
• 500 GeV ZZ

And then @cbell1402 will work with @jslawless to produce split violin plots.

[cbell1402]

The root files have been created and added here.
For some reason, eeToZgamma_50k_4TeV has few events. But the 1TeV version is fine. Any ideas why?

[lawrenceleejr]

Yeah I think this is for the reason we said last week. That in the pT range we're looking at, the only way to get jets there is to have them be soft radiation, so they're suppressed by a large factor. If you look at higher pT, the bulk of the jets are just up there.

[jslawless]

[jslawless]

Does this look about expected?

[lawrenceleejr]

Thanks @jslawless! It's... unfortunately a bit hard to say. The color single cases do seem a bit flatter by eye, but I guess we do need more precise plots to really compare carefully (instead of me holding up a piece of paper to my screen). I'm hoping the n50 will look a little more different. But the split violins (and then adding in some profile plots on top of them) will be important to see any differences.

I just hacked together a split violin plot in keynote:

This is between the 4 TeV ZGamma versus the 1 TeV JJJ (I think the 4 TeV JJJ would have looked similar). So that looks pretty good!! I think we have the histograms we need and now's just a game of making the plots look nice and really sell the message.

@jslawless if you want to drop a zip file or tarball or something of all the plots here, that would be helpful so we can play around while we also work on the split violins and whatever profile info we want to add at the end.

[jslawless]

plots.zip

[jslawless]

There's all my plots. I'm close to making the split violins, but a few hiccups are left.

[jslawless]

Missing some axes and axes values, but got a split violin plot working. This is for the N80 case.

[lawrenceleejr]

Just for our notes, the above plot is 4 TeV ee collisions for both processes. This looks great. Johnny is investigating drawing the behavior of the means to make it a bit easier to see the trends. Can you also try playing with the cut option to extend those vertical lines farther? And cut off the y axis at 0 since negative is unphysical.

[lawrenceleejr]

We can also then set inner to none.

[lawrenceleejr]

Consolidating to an actual task list for the drawing style because I was on my phone last night for the above messages.

• Change axis labels and titles
• Cut off y axis at 0, and probably also 15 or something on the high end.
• Try playing with the cut parameter to make the vertical lines span the full y range of the plot.
• Draw two plot objects that show how the means change along the x axis, using colors that match the violin colors.
  • Might want to play with having a nice shadow for the profiles to suggest depth in the plot so the mean trends step forward and the full distributions recede a little. Would require a little playing around it looks like. Lower priority, but will be nice for the final thing.
• Remove the box portion in the middle. That can be done by setting inner to None it looks like.

[jslawless]

Got some of the more basic things done. I'll start playing around with the more advanced stuff.

[lawrenceleejr]

Nice. Updating todo list adding and removing some things:

• Change axis labels and titles. Can the x axis labels actually show the range? Or the bin end maybe? So maybe the first one says 0, and the next one says the start of that bin. Or we could do "0-25", but that might get too verbose. Play around with it. We should also make it "Jet P [GeV]". And the y axis, symbolically, let's call this $n_{80}$. You can do this in python/mpl as r"$n_{80}$".
• Try playing with the cut parameter to make the vertical lines span the full y range of the plot.
• Draw two plot objects that show how the means change along the x axis, using colors that match the violin colors.
  • Might want to play with having a nice shadow for the profiles to suggest depth in the plot so the mean trends step forward and the full distributions recede a little. Would require a little playing around it looks like. Lower priority, but will be nice for the final thing.
• When convenient, instead of having a legend, I like to more directly label the data. (This is one of the lessons Tufte has.) Maybe like something below where it still clearly communicates the color coding, but also encodes the spatial system and does so directly on the data instead of in a separate key.

[lawrenceleejr]

Comparisons for: {n50, n80, n90}

4 TeV JJJ vs (4 TeV) Z+gamma (already above for n80)
1 TeV JJJ vs (1 TeV) ZZ

@cbell1402 can you:

• Commit your latest code with the nXX plot creation?
• Can you change the binning in your histograms such that the number of y bins is 100.
• And for the n50 plots, can you set the y upper limit to 10 (from 20)

And we can focus on the samples needed for the two comparisons at the top of this message.

[cbell1402]

Updated loop.py here.
I added the new root files here.