Bill Easterly reminds me about a recently published paper on Corporate tax rates and Investment. I decided to run a few back of the envelope calculations to see if a push to eliminate the corporate tax could make basic arithmetic sense.
The up shot is that it does. The effects are quite mild but not trivial. As an critical caveat this based completely on averages and says nothing about distribution.
Here is a chart from the paper that presents a nice downwardly sloping relationship you’d like to start with. They measure the effective corporate tax rate against various measures. Shown below is the effective corporate tax rate versus total economic investment.
To make you feel more comfortable I will note that the authors hit the data with a few controls. Its not out of this world robustness, but it does have the kind of checks you would like. They control…
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Utopia, you are standing in it! 
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