470 citations · 2.7k across the 45 of their papers we have counts for
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Counting master integrals: Integration by parts vs. functional equations
Bernd A. Kniehl, Oleg V. Tarasov
We illustrate the usefulness of functional equations in establishing relationships between master integrals under the integration-by-parts reduction procedure by considering a cert…
Color-kinematic Duality for Form Factors
Rutger H. Boels, Bernd A. Kniehl, Oleg V. Tarasov +1
Recently a powerful duality between color and kinematics has been proposed for integrands of scattering amplitudes in quite general gauge theories. In this paper the duality propos…
Analytic result for the one-loop scalar pentagon integral with massless propagators
Bernd A. Kniehl, Oleg V. Tarasov
The method of dimensional recurrences proposed by one of the authors [1,2] is applied to the evaluation of the pentagon-type scalar integral with on-shell external legs and massles…
Connection between Feynman integrals having different values of the space-time dimension
O. V. Tarasov
A systematic algorithm for obtaining recurrence relations for dimensionally regularized Feynman integrals w.r.t. the space-time dimension is proposed. The relation between …