MHV /Parke-Taylor/BCFW references

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I've been having some trouble finding good quality literature in regards to MHV and Parke-Taylor.

One of the better references I found being

https://www.ph.nat.tum.de/fileadmin/w00bya/ttpmath/pdf/sheet10-11.pdf

What I've having difficulty finding is the proofs for validity of the methodology specifically. Any recommendations appreciated.
Complexity of the literature isn't an issue the QFT mathematics wouldn't be an issue though string theory mathematics would be.
(Haven't looked at String theory in the last few years)
 
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