Mathematica notebook to generate scale variation terms

[andreab1997]

I am adding a mathematica notebook that we can use to generate scale variation terms for DIS and hadronic case. What it misses at the moment is the N3LO. @alecandido @felixhekhorn

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Codecov Report

Merging #68 (296db7e) into main (7cc3df6) will not change coverage.
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[felixhekhorn]

@andreab1997 in your notebook there is too many repetition for my taste - we should predict e.g. the linear diff between alphas and pdfs; I started a new notebook, maybe you can have a look and tell me what you think? we need this to predict the N3LO stuff

[alecandido]

I perfectly agree with @felixhekhorn: in principle, there should only be the two equations we need

• $\alpha_s$ running (beta function)
• DGLAP equations

that are the two equations regulating the dependence on the nonphysical scales, and the perturbative solutions, with the deriving algorithm, not manually encoded.

Essentially, you want to have a place where you put your parameter to n=2 and obtain NNLO, and n=3 and obtain N3LO. But in principle, you should be able to put also n=50 (even though the calculation might explode, but I don't care about n=50).

We need this because validating the algorithm on lower orders we can be more confident about the solution for higher orders, otherwise we gain little to nothing.

[andreab1997]

@andreab1997 in your notebook there is too many repetition for my taste - we should predict e.g. the linear diff between alphas and pdfs; I started a new notebook, maybe you can have a look and tell me what you think? we need this to predict the N3LO stuff

I a having a look right now :)

[felixhekhorn]

sv is now explained in the MHOU paper together with some small MMa snippet