Výsledky vyhledávání - "Shumilov, L."

Report

Three-loop evolution kernel for transversity operator

Autor: Manashov, A. N., Moch, S., Shumilov, L. A.

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 obtain the evolution kernel for the corresponding operators at three loops

Externí odkaz: http://arxiv.org/abs/2407.12696

Zobrazit plný text záznamu

Report

Mellin$-$Barnes Transformation for Two-Loop Master-Diagram

Autor: Derkachev, S. E., Ivanov, A. V., Shumilov, L. A.

Publikováno v: J Math Sci 264, 298-312 (2022)

In the paper, we obtain an expression for a two-loop master-diagram by using the Mellin$-$Barnes transformation. In the two-dimensional case we managed to factorize the answer and write it as a bilinear combination of hypergeometric functions ${}_3F_

Externí odkaz: http://arxiv.org/abs/2303.09203

Zobrazit plný text záznamu

Report

Ladder and zig-zag Feynman diagrams, operator formalism and conformal triangles

Autor: Derkachov, S. E., Isaev, A. P., Shumilov, L. A.

We develop an operator approach to the evaluation of multiple integrals for multiloop Feynman massless diagrams. A commutative family of graph building operators $H_\alpha$ for ladder diagrams is constructed and investigated. The complete set of eige

Externí odkaz: http://arxiv.org/abs/2302.11238

Zobrazit plný text záznamu

Report

Conformal Triangles and Zig-Zag Diagrams

Autor: Derkachov, S., Isaev, A. P., Shumilov, L.

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 representation gives a possibility to evaluate exactly diagrams of the zi

Externí odkaz: http://arxiv.org/abs/2201.12232

Zobrazit plný text záznamu