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hep-th2020★ 1 cited
Finite Z-less integral expressions for -functions in the MS4 scheme
N. D. Lenshina, A. A. Radionov, F. V. Tkachov
The generalized minimal subtraction scheme for ultraviolet renormalization (Kuznetsov and Tkachov, 1988) is fine-tuned with applications in mind. The resulting scheme…
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…