Calculations of Higher Order Quantum Chromodynamics Corrections

• Published in: Journal of contemporary physics Vol. 56; no. 3; pp. 177 - 183
• Main Authors: Asatryan, H. H., Asatrian, H. M.
• Format: Journal Article
• Language: English
• Published: Moscow Pleiades Publishing 01-07-2021; Springer Nature B.V
• Subjects: Decay; Differential equations; Mathematical analysis; Particle and Nuclear Physics; Physics; Physics and Astronomy; Quantum chromodynamics; Quarks; quantum chromodynamics corrections; rare decays; three-loop diagrams
• ISSN: 1068-3372; 1934-9378
• DOI: 10.3103/S1068337221030063

Our article is devoted to the computation of two three-loop diagrams that contribute to the decay
at
order. We use differential equations for master integrals (MI) to compute these diagrams for an arbitrary c-quark mass. The program CANONICA is used to obtain differential equations on a canonical basis. Using them, it is possible to solve the differential equations and obtain expressions for MI-s in terms of GPL functions. We hope that the same method can be used for other three-loop diagrams which contribute to the decay
at order
.