Evaluating single-scale and/or non-planar diagrams by differential equations

K. G. Chetyrkin and F. V. Tkachov, Integration by Parts: The Algorithm to Calculate beta Functions in 4 Loops

1981

Earlier work this paper cites.

V. Knizhnik and A. Zamolodchikov, Current Algebra and Wess-Zumino Model in Two-Dimensions

1984

Earlier work this paper cites.

A. V. Kotikov, Differential equations method: New technique for massive Feynman diagrams calculation

1991

Earlier work this paper cites.

A. V. Kotikov, Differential equation method: The Calculation of N point Feynman diagrams

1991

Earlier work this paper cites.

D. J. Broadhurst and D. Kreimer, Knots and numbers in ϕ 4 \phi^{4} theory to 7 loops and beyond

1995

Earlier work this paper cites.

E. Remiddi, Differential equations for Feynman graph amplitudes

1997

Earlier work this paper cites.

K.-T. Chen, Iterated path integrals

1997

Earlier work this paper cites.

M. Beneke and V. A. Smirnov, Asymptotic expansion of Feynman integrals near threshold

1998

Earlier work this paper cites.

V. A. Smirnov and E. R. Rakhmetov, The Strategy of regions for asymptotic expansion of two loop vertex Feynman diagrams

1999

Earlier work this paper cites.

V. A. Smirnov, Problems of the strategy of regions

1999

Earlier work this paper cites.

V. A. Smirnov, Analytical result for dimensionally regularized massless on shell double box

1999

Earlier work this paper cites.

J. Tausk, Nonplanar massless two loop Feynman diagrams with four on-shell legs

1999

Earlier work this paper cites.

T. Gehrmann and E. Remiddi, Differential equations for two-loop four-point functions

2000

Earlier work this paper cites.

E. Remiddi and J. A. M. Vermaseren, Harmonic polylogarithms

2000

Earlier work this paper cites.

T. Gehrmann and E. Remiddi, Two-Loop Master Integrals for γ ∗ → 3 \gamma^{*}\to 3 Jets: The planar topologies

2001

Earlier work this paper cites.

T. Gehrmann and E. Remiddi, Two loop master integrals for γ ∗ → 3 \gamma^{*}\to 3 jets: The Nonplanar topologies

2001

Earlier work this paper cites.

V. A. Smirnov, Applied asymptotic expansions in momenta and masses

2002

Cited alongside, same era.

T. Gehrmann, G. Heinrich, T. Huber, and C. Studerus, Master integrals for massless three-loop form-factors: One-loop and two-loop insertions

2006

Cited alongside, same era.

S. Moch and P. Uwer, XSummer: Transcendental functions and symbolic summation in form

2006

Cited alongside, same era.

M. Czakon, Automatized analytic continuation of Mellin-Barnes integrals

2006

Cited alongside, same era.

D. Maitre, HPL, a mathematica implementation of the harmonic polylogarithms

2006

Cited alongside, same era.

Z. Bern, J. J. Carrasco, L. J. Dixon, H. Johansson, D. A. Kosower, and R. Roiban, Three-Loop Superfiniteness of N=8 Supergravity

P. Baikov and K. Chetyrkin, Four Loop Massless Propagators: An Algebraic Evaluation of All Master Integrals

Original

2010

Later among the works it cites.

R. N. Lee and V. A. Smirnov, Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight

Original

2011

Later among the works it cites.

A. Pak and A. V. Smirnov, Geometric approach to asymptotic expansion of Feynman integrals

Original

2011

Later among the works it cites.

A. V. Smirnov and A. V. Petukhov, The Number of Master Integrals is Finite

Original

2011

Later among the works it cites.

A. V. Smirnov, V. A. Smirnov, and M. Tentyukov, FIESTA 2: parallelizeable multiloop numerical calculations