3 papers
hep-th2020
Partial D-operators for the generalized IBP reduction
A. A. Radionov, F. V. Tkachov
Empirical evidence reveals existence of partial D-operators for the generalized IBP (BT) reduction algorithms that are, counterintuitively, much simpler and much easier to find tha…
hep-th2019
Breaking the 2-loop barrier for generalized IBP reduction
A. A. Radionov, F. V. Tkachov
We discuss the problem of constructing differential operators for the generalized IBP reduction algorithms at the 2-loop level. A deeply optimized software allows one to efficientl…
hep-ph2019
MS4: a BPHZ killer
N. D. Lenshina, A. A. Radionov, F. V. Tkachov
The UV renormalization scheme emerged in the formalization of the reasoning which yielded an array of important algorithms in the 80's. guarantees finit…