12 citations · 37 across the 12 of their papers we have counts for
6 papers · 1 filter
Statistics and asymptotics of subdivergence-free Feynman integrals in theory
Paul-Hermann Balduf, Kimia Shaban, Johannes Thürigen
Recent algorithmic improvements have made it possible to evaluate subdivergence-free (=primitive=skeleton) Feynman integrals in theory numerically up to 18 loops. By now, all…
Ladders and rainbows in Minimal Subtraction
Paul-Hermann Balduf
In dimensional regularization with , the minimal subtraction (MS) scheme is characterized by counterterms that only consist of singular terms in . We develop a general…
Primitive asymptotics in vector theory
Paul-Hermann Balduf, Johannes Thürigen
A longstanding conjecture in theory is that primitive graphs dominate the beta function asymptotically at large loop order in the minimal-subtraction scheme. Here we invest…
Predicting Feynman periods in -theory
Paul-Hermann Balduf, Kimia Shaban
We present efficient data-driven approaches to predict Feynman periods in -theory from properties of the underlying Feynman graphs. We find that the numbers of cuts and cycles…
Statistics of Feynman amplitudes in -theory
Paul-Hermann Balduf
The amplitude of subdivergence-free logarithmically divergent Feynman graphs in -theory in 4 spacetime dimensions is given by a single number, the Feynman period. We numerical…
Dyson-Schwinger Equations in Minimal Subtraction
Paul-Hermann Balduf
We compare the solutions of one-scale Dyson-Schwinger equations in the Minimal subtraction (MS) scheme to the solutions in kinematic (MOM) renormalization schemes. We establish tha…