12 citations · 28 across the 6 of their papers we have counts for
10 papers
Three-loop anomalous dimensions of leading-twist operators in the Gross-Neveu-Yukawa model
Mrigankamauli Chakraborty, Leonid A. Shumilov
We compute the anomalous dimensions of the leading-twist operators at three-loop level in the scheme in the Gross-Neveu-Yukawa model. Calculations are done f…
Graphical Functions by Examples
Mrigankamauli Chakraborty, Marco Klann, Sven-Olaf Moch +4
Graphical functions have emerged as a powerful framework for evaluating multi-loop Feynman integrals in perturbative quantum field theory. Defined as massless three-point position-…
Correction exponents in the chiral Heisenberg model at : singular contributions and operator mixing
Alexander N. Manashov, Leonid A. Shumilov
We calculate the correction exponents in the chiral Heisenberg model in the expansion. These exponents are related to the slopes of functions at the phase transition poin…
Resummation of small-spin singularities in anomalous dimensions of twist-two operators
Alexander N. Manashov, Sven-Olaf Moch, Leonid A. Shumilov
Anomalous dimensions of leading-twist operators in QCD play an important role in precision predictions for high-energy processes, since they govern the scale evolution of parton di…
Conformal four-point ladder integrals in diverse dimensions and polylogarithms
S. E. Derkachov, A. P. Isaev, L. A. Shumilov
In the paper, the family of conformal four-point ladder diagrams in arbitrary space-time dimensions is considered. We use the representation obtained via explicit calculation using…
Anomalous dimensions at small spins
A. N. Manashov, S. Moch, L. A. Shumilov
In perturbation theory, the anomalous dimensions of twist-two operators have poles at negative or small positive integer values of spin and therefore must be resummed at these poin…
Three-loop evolution kernel for transversity operator
A. N. Manashov, S. Moch, L. A. Shumilov
We calculate quantum corrections to the symmetry generators for the transversity operators in quantum chromodynamics (QCD) in the two-loop approximation. Using this result, we obta…
Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles
S. E. Derkachov, A. P. Isaev, L. A. Shumilov
We develop an operator approach to the evaluation of multiple integrals for multiloop Feynman massless diagrams. A commutative family of graph building operators for ladder d…
MellinBarnes Transformation for Two-Loop Master-Diagram
S. E. Derkachev, A. V. Ivanov, L. A. Shumilov
In the paper, we obtain an expression for a two-loop master-diagram by using the MellinBarnes transformation. In the two-dimensional case we managed to factorize the answer and…
Conformal Triangles and Zig-Zag Diagrams
S. Derkachov, A. P. Isaev, L. Shumilov
A convenient integral representation for zig-zag four-point and two-point planar Feynman diagrams relevant to the bi-scalar D-dimensional fishnet field theory is obtained. This rep…