80 citations · 122 across the 9 of their papers we have counts for
10 papers
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…
Five W-boson amplitude = near-null decagon
A. V. Belitsky, L. V. Bork, R. N. Lee +2
We study a five-leg scattering amplitude on the special Coulomb branch of planar N=4 super Yang-Mills theory. We reach this point of the moduli space of scalar vacuum expectation v…
: 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…
ABJM quantum spectral curve and Mellin transform
R. N. Lee, A. I. Onishchenko
The present techniques for the perturbative solution of quantum spectral curve problems in N=4 SYM and ABJM models are limited to the situation when the states quantum numbers are…
Two-loop sunset diagrams with three massive lines
B. A. Kniehl, A. V. Kotikov, A. Onishchenko +1
In this paper, we consider the two-loop sunset diagram with two different masses, m and M, at spacelike virtuality q^2 = -m^2. We find explicit representations for the master integ…
Nonforward anomalous dimensions of Wilson operators in N=4 super-Yang-Mills theory
A. I. Onishchenko, V. N. Velizhanin
We present the next-to-leading order results for universal non-forward anomalous dimensions of Wilson twist-2 operators in N=4 supersymmetric Yang-Mills theory. The whole calculati…