Master integrals for splitting functions from differential equations in QCD

J. Moser, The order of a singularity in fuchs’ theory

1959

Earlier work this paper cites.

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

1981

Earlier work this paper cites.

F. Tkachov, A Theorem on Analytical Calculability of Four Loop Renormalization Group Functions

1981

Earlier work this paper cites.

N. K. Falck, D. Graudenz, and G. Kramer, Cross-section for Five Jet Production in e + ​ e − e^{+}e^{-} Annihilation

1989

Earlier work this paper cites.

P. Nogueira, Automatic Feynman graph generation

1993

Earlier work this paper cites.

J. A. M. Vermaseren, Axodraw

1994

Earlier work this paper cites.

P. Nason and B. Webber, Scaling violation in e+ e- fragmentation functions: QCD evolution, hadronization and heavy quark mass effects

1996

Earlier work this paper cites.

P. Rijken and W. van Neerven, Higher order QCD corrections to the transverse and longitudinal fragmentation functions in electron - positron annihilation

1997

Earlier work this paper cites.

Z. Bern, L. J. Dixon, and D. A. Kosower, One loop amplitudes for e+ e- to four partons

1998

Earlier work this paper cites.

S. Moch and J. Vermaseren, Deep inelastic structure functions at two loops

2000

Earlier work this paper cites.

E. Remiddi and J. Vermaseren, Harmonic polylogarithms

2000

Earlier work this paper cites.

L. Garland, T. Gehrmann, E. N. Glover, A. Koukoutsakis, and E. Remiddi, The Two loop QCD matrix element for e+ e- —¿ 3 jets

2002

Earlier work this paper cites.

S. Moch, P. Uwer, and S. Weinzierl, Two loop amplitudes with nested sums: Fermionic contributions to e+ e- —¿ q anti-q g

2002

Earlier work this paper cites.

S. Moch, J. Vermaseren, and A. Vogt, The Three loop splitting functions in QCD: The Nonsinglet case

2004

Earlier work this paper cites.

A. Vogt, S. Moch, and J. Vermaseren, The Three-loop splitting functions in QCD: The Singlet case

2004

Cited alongside, same era.

V. Smirnov, Evaluating Feynman integrals

2004

Cited alongside, same era.

A. Gehrmann-De Ridder, T. Gehrmann, and G. Heinrich, Four particle phase space integrals in massless QCD

2004

Cited alongside, same era.

U. Aglietti and R. Bonciani, Master integrals with 2 and 3 massive propagators for the 2 loop electroweak form-factor - planar case

2004

Cited alongside, same era.

A. Gehrmann-De Ridder, T. Gehrmann, and E. W. N. Glover, Antenna subtraction at NNLO

2005

Cited alongside, same era.

A. Mitov, S. Moch, and A. Vogt, Next-to-Next-to-Leading Order Evolution of Non-Singlet Fragmentation Functions

R. Bonciani, G. Degrassi, and A. Vicini, On the Generalized Harmonic Polylogarithms of One Complex Variable

Original

2011

Later among the works it cites.

A. Almasy, S. Moch, and A. Vogt, On the Next-to-Next-to-Leading Order Evolution of Flavour-Singlet Fragmentation Functions

Original

2012

Later among the works it cites.

J. M. Henn, Multiloop integrals in dimensional regularization made simple

Original

2013

Later among the works it cites.

J. Ablinger, J. Blümlein, and C. Schneider, Analytic and algorithmic aspects of generalized harmonic sums and polylogarithms

Original

2013

Later among the works it cites.

T. Gehrmann, A. von Manteuffel, L. Tancredi, and E. Weihs, The two-loop master integrals for q ​ q ¯ → V ​ V q\overline{q}\to VV