Can modern twistor methods to calculate scattering amplitudes be applied to renormalization group calculations? As explained for example in this article by Prof. Strassler, modern twistor methods to calculate scattering amplitudes have already been proven immensely helpful to calculate the standard model background in searches for "new physics". 
If I understand this correct, the "practical" power of these methods lies in their ability to greatly simplify the calculation of scattering processes, which are due to limited computer power for example, not feasable applying conventional Feynman diagrams.
Depending on the system considered, a renormalization group transformation involves the calculation or summation of complicated Feynman diagrams too, which usually has to be simplified to obtain renormalization group equations which are numerically solvable in a finite amount of time.
So my question is: Could the new twistor methods to calculate scattering amplitudes be applied to simplify investigations of the renormalization group flow, in particular investigations of the whole renormalization group flow field beyond a single fixed point, too? Are such things already going on at present?
 A: These methods do not merely simplify known Feynman techniques. They uncover previously unknown structures in the final amplitudes by using entirely new (motivic) techniques. 
The renormalization procedures of the Feynman method are quite hidden in the new formalism, because it does not begin by imposing locality on the underlying physics. It makes all internal lines (in the twistor diagrams) on shell. The Hopf algebraic structure of renormalization would appear before the traditional description. So yes, the twistor description should clarify renormalization, but probably not in the way you are expecting. For a start, the complex renormalization procedure is not even required in many computations. 
No, these things are not being done now, because they don't really make sense with the current state of knowledge. To date, people have focused on solving N=4 SYM and related theories, usually supersymmetric, or else working on concrete gluon amplitudes for the LHC. Only now is it time to begin attacking QCD itself, and beyond. 
