18 citations · 61 across the 11 of their papers we have counts for
14 papers
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…
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.
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…
: package for numerical computation of Lauricella functions depending on a parameter
M. A. Bezuglov, B. A. Kniehl, A. I. Onishchenko +1
We introduce the package, a computational tool developed in Wolfram Mathematica for high-precision numerical evaluations of Lauricella functions with…
High-precision numerical evaluation of Lauricella functions
M. A. Bezuglov, B. A. Kniehl, A. I. Onishchenko +1
We present a method for high-precision numerical evaluations of Lauricella functions, whose indices are linearly dependent on some parameter , in terms of their Lauren…
Expansion of hypergeometric functions in terms of polylogarithms with nontrivial variable change
M. A. Bezuglov, A. I. Onishchenko
Hypergeometric functions of one and many variables play an important role in various branches of modern physics and mathematics. Often we have hypergeometric functions with indices…
On series and integral representations of some NRQCD master integrals
M. A. Bezuglov, A. V. Kotikov, A. I. Onishchenko
We consider new ways of obtaining series and integral representations for master integrals arising in the process of matching of QCD to NRQCD. The latter results are exact in space…
Non-planar elliptic vertex
M. A. Bezuglov, A. I. Onishchenko
We consider the problem of obtaining higher order in regularization parameter analytical results for master integrals with elliptics. The two commonly employed methods are prov…
Integral representation for three-loop banana graph
M. A. Bezuglov
It has recently been shown that two-loop kite-type diagrams can be computed analytically in terms of iterated integrals with algebraic kernels. This result was obtained using a new…
Massive kite diagrams with elliptics
M. A. Bezuglov, A. I. Onishchenko, O. L. Veretin
We present the results for two-loop massive kite master integrals with elliptics in terms of iterated integrals with algebraic kernels. The key ingredients are new integral represe…
Calculation of master integrals in terms of elliptic multiple polylogarithms
Maxim Bezuglov
In modern quantum field theory, one of the most important tasks is the calculation of loop integrals. Loop integrals appear when evaluating the Feynman diagrams with one or more lo…
NNLO corrections to false vacuum decay rate in thin-wall approximation
M. A. Bezuglov, A. I. Onishchenko
Recently it was discovered that the Standard Model vacuum may suffer an essential metastability near the Planck scale. In this regard it makes sense to study in more detail the dec…
Two-loop corrections to false vacuum decay in scalar field theory
M. A. Bezuglov, A. I. Onishchenko
We consider radiative corrections to false vacuum decay in a four-dimensional scalar field theory with cubic and quartic potential. Using planar thin wall approximation we were abl…
Radiative corrections to false vacuum decay in quantum mechanics
M. A. Bezuglov, A. I. Onishchenko
We consider radiative corrections to false vacuum decay within the framework of quantum mechanics for the general potential of the form 1/2 M q^2 (q-A)(q-B), where M , A and B are…