472 citations · 1.1k across the 6 of their papers we have counts for
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Quark and gluon form factors to three loops
P. A. Baikov, K. G. Chetyrkin, A. V. Smirnov +2
We compute the form factors of the photon-quark-anti-quark vertex and the effective vertex of a Higgs boson and two gluons to three-loop order within massless perturbative Quantum…
On the Resolution of Singularities of Multiple Mellin-Barnes Integrals
A. V. Smirnov, V. A. Smirnov
One of the two existing strategies of resolving singularities of multifold Mellin-Barnes integrals in the dimensional regularization parameter, or a parameter of the analytic regul…
Fermionic contributions to the three-loop static potential
Alexander V. Smirnov, Vladimir A. Smirnov, Matthias Steinhauser
We consider the three-loop corrections to the static potential which are induced by a closed fermion loop. For the reduction of the occurring integrals a combination of the Gröbner…
Algorithm FIRE -- Feynman Integral REduction
A. V. Smirnov
The recently developed algorithm FIRE performs the reduction of Feynman integrals to master integrals. It is based on a number of strategies, such as applying the Laporta algorithm…
On the reduction of Feynman integrals to master integrals
A. V. Smirnov, V. A. Smirnov
The reduction of Feynman integrals to master integrals is an algebraic problem that requires algorithmic approaches at the modern level of calculations. Straightforward application…
S-bases as a tool to solve reduction problems for Feynman integrals
A. V. Smirnov, V. A. Smirnov
We suggest a mathematical definition of the notion of master integrals and present a brief review of algorithmic methods to solve reduction problems for Feynman integrals based on…