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hep-th2026
Four-loop beta function in N=2 supersymmetric Yang-Mills theory, dimensional reduction, and treatment of
M. A. Bezuglov, B. A. Kniehl, V. N. Velizhanin
Adopting the dimensional-reduction scheme, we diagrammatically compute, at four loops, the beta function of N=2 supersymmetric Yang-Mills theory, which is well known to vanish beyo…
hep-ph2026
Gauge coupling beta functions and gauge field anomalous dimensions at four loops in the Standard Model
M. A. Bezuglov, B. A. Kniehl, V. N. Velizhanin
We present the beta functions of the gauge couplings and the anomalous dimensions of the gauge fields in the unbroken phase of the Standard Model at four loops.
math-ph2026
Numerical analytical continuation of multivariate hypergeometric functions
M. A. Bezuglov, B. A. Kniehl, A. I. Onishchenko +1
We present a general framework for the high-precision numerical evaluation of multivariate hypergeometric functions defined as solutions of holonomic systems of partial differentia…