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zhaoli-IHEP / FeAmGen.jl

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Tensor decomposition and partial fractioning? #2

Open vsht opened 4 months ago

vsht commented 4 months ago

Hi,

I'm curious if FeAmGen.jl actually supports tensor reduction of loop integrals and whether it can do partial fraction decomposition for cases where the propagator basis is overdetermined?

Cheers, Vlad

zhaoli-IHEP commented 4 months ago

Unfortunately, FeAmGen.jl cannot do the tensor reduction for loop integrals. For now the partial fraction decomposition is not supported, since usually the generated amplitude should not have overdetermined propagators, and the generated topologies via FeAmGen.jl does not have overdetermined propagators. Do you have any case that may generate overdetermined propagators?

vsht commented 4 months ago

Many thanks for your reply. I didn't have a particular calculation in mind but was rather interested in the capabilities of the code in general.

Do you have any case that may generate overdetermined propagators?

I mean, in EFTs (like NRQCD or HEFT) one easily end us up with calculations containing overdetermined propagators. I don't think there's any way to avoid that in general. Since FeAmGen.jl allows for custom models added by the user, such cases for sure may occur.