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

FIRE4, LiteRed and accompanying tools to solve integration by parts relations

(2013) A.V. Smirnov et al.   COMPUTER PHYSICS COMMUNICATIONS

Multiloop Integrals in Dimensional Regularization Made Simple

(2013) Johannes M. Henn   PHYSICAL REVIEW LETTERS

Analytic results for two-loop master integrals for Bhabha scattering I

(2013) Johannes M. Henn et al.   JOURNAL OF HIGH ENERGY PHYSICS

Analytic results for planar three-loop four-point integrals from a Knizhnik-Zamolodchikov equation

(2013) Johannes M. Henn et al.   JOURNAL OF HIGH ENERGY PHYSICS

Expansion by regions: revealing potential and Glauber regions automatically

(2012) Bernd Jantzen et al.   EUROPEAN PHYSICAL JOURNAL C

Geometric approach to asymptotic expansion of Feynman integrals

(2011) A. Pak et al.   EUROPEAN PHYSICAL JOURNAL C

New differential equations for on-shell loop integrals

(2011) James M. Drummond et al.   JOURNAL OF HIGH ENERGY PHYSICS

FIESTA 2: Parallelizeable multiloop numerical calculations

(2010) A.V. Smirnov et al.   COMPUTER PHYSICS COMMUNICATIONS

The Number of Master Integrals is Finite

(2010) Alexander V. Smirnov et al.   LETTERS IN MATHEMATICAL PHYSICS

Four loop massless propagators: An algebraic evaluation of all master integrals

(2010) P.A. Baikov et al.   NUCLEAR PHYSICS B

Calculation of the quark and gluon form factors to three loops in QCD

(2010) T. Gehrmann et al.   JOURNAL OF HIGH ENERGY PHYSICS

The Massless Higher-Loop Two-Point Function

(2009) Francis Brown   COMMUNICATIONS IN MATHEMATICAL PHYSICS

On the resolution of singularities of multiple Mellin–Barnes integrals

(2009) A. V. Smirnov et al.   EUROPEAN PHYSICAL JOURNAL C

Quark and Gluon Form Factors to Three Loops

(2009) P. A. Baikov et al.   PHYSICAL REVIEW LETTERS

Nine-propagator master integrals for massless three-loop form factors

(2009) G. Heinrich et al.   PHYSICS LETTERS B

Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)

(2008) A.V. Smirnov et al.   COMPUTER PHYSICS COMMUNICATIONS

Master integrals for fermionic contributions to massless three-loop form factors

(2008) G. Heinrich et al.   PHYSICS LETTERS B

Algorithm FIRE—Feynman Integral REduction

(2008) A.V Smirnov   JOURNAL OF HIGH ENERGY PHYSICS