Add to ORKGRecurrence relations derived via the Chetyrkin--Tkachov method of integration by parts are applied to reduce scalar three-loop bubble (vacuum) diagrams with a mass to a limited number of master integrals. The reduction is implemented as a package of computer programs for analytic evaluation in FORM. The algorithms are applicable to diagrams with any integer powers on the lines in an arbitrary dimension. A physical application is the evaluation of the three-loop QCD correction to the electroweak rho parameter
A numerical approach to compute tensor integrals in one-loop calculations is presented. The algorith...
A scheme for systematically achieving accurate numerical evaluation of multi-loop Feynman diagrams i...
If QCD is renormalized by minimal subtraction (MS), at higher orders, the strong coupling constant a...
We present a proof that all transcendental numbers that are needed for the calculation of the master...
We obtain finite parts (as well as $\epsilon$-pole parts) of massive three-loop vacuum diagrams with...
As a generalization of a previous work [Phys. Rev. D. {\bf 59}, 105014 (1999)], we compute analytica...
In calculating electroweak radiative corrections at two-loop level, one encounters Feynman graphs wi...
Extending the method successful for one-loop integrals, the computation of two-loop diagrams with ge...
The three-loop master integrals for ladder-box diagrams with one massive leg are computed from an ei...
The integration by parts recurrence relations allow to reduce some Feynman integrals to more simple ...
An algorithm for calculation of three-loop propagator diagrams in HQET, basedon integration-by-parts...
Recently, algorithms for calculation of 3-loop propagator diagrams in HQET and on-shell QCD with a h...
The $\epsilon$-expansion of several two-loop self-energy diagrams with different thresholds and one ...
An important aspect of improving perturbative predictions in high energy physics is efficiently redu...
Schroeder Y, Vuorinen A. High precision evaluation of four loop vacuum bubbles in three-dimensions. ...
A numerical approach to compute tensor integrals in one-loop calculations is presented. The algorith...
A scheme for systematically achieving accurate numerical evaluation of multi-loop Feynman diagrams i...
If QCD is renormalized by minimal subtraction (MS), at higher orders, the strong coupling constant a...
We present a proof that all transcendental numbers that are needed for the calculation of the master...
We obtain finite parts (as well as $\epsilon$-pole parts) of massive three-loop vacuum diagrams with...
As a generalization of a previous work [Phys. Rev. D. {\bf 59}, 105014 (1999)], we compute analytica...
In calculating electroweak radiative corrections at two-loop level, one encounters Feynman graphs wi...
Extending the method successful for one-loop integrals, the computation of two-loop diagrams with ge...
The three-loop master integrals for ladder-box diagrams with one massive leg are computed from an ei...
The integration by parts recurrence relations allow to reduce some Feynman integrals to more simple ...
An algorithm for calculation of three-loop propagator diagrams in HQET, basedon integration-by-parts...
Recently, algorithms for calculation of 3-loop propagator diagrams in HQET and on-shell QCD with a h...
The $\epsilon$-expansion of several two-loop self-energy diagrams with different thresholds and one ...
An important aspect of improving perturbative predictions in high energy physics is efficiently redu...
Schroeder Y, Vuorinen A. High precision evaluation of four loop vacuum bubbles in three-dimensions. ...
A numerical approach to compute tensor integrals in one-loop calculations is presented. The algorith...
A scheme for systematically achieving accurate numerical evaluation of multi-loop Feynman diagrams i...
If QCD is renormalized by minimal subtraction (MS), at higher orders, the strong coupling constant a...