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LiteRed 1.4: a powerful tool for reduction of multiloop integrals

- R. N. Lee
- Mathematics
- 4 October 2013

We review the Mathematica package LiteRed, version 1.4.

Presenting LiteRed: a tool for the Loop InTEgrals REDuction

- R. N. Lee
- Mathematics
- 12 December 2012

Mathematica package LiteRed is described. It performs the heuristic search of the symbolic IBP reduction rules for loop integrals. It implements also several convenient tools for the search of the… Expand

Space-time dimensionality D as complex variable: Calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D

- R. N. Lee
- Mathematics
- 2 November 2009

Group structure of the integration-by-part identities and its application to the reduction of multiloop integrals

- R. N. Lee
- Mathematics
- 18 April 2008

The excessiveness of integration-by-part (IBP) identities is discussed. The Lie-algebraic structure of the IBP identities is used to reduce the number of the IBP equations to be considered. It is… Expand

Analytic results for massless three-loop form factors

- R. N. Lee, A. Smirnov, V. Smirnov
- Physics
- 17 January 2010

We evaluate, exactly in d, the master integrals contributing to massless threeloop QCD form factors. The calculation is based on a combination of a method recently suggested by one of the authors… Expand

Master integrals for four-loop massless propagators up to weight twelve

- R. N. Lee, A. Smirnov, V. Smirnov
- Mathematics
- 3 August 2011

Calculating multiloop integrals using dimensional recurrence relation and D-analyticity

- R. N. Lee
- Physics
- 14 July 2010

Structure of the Coulomb and unitarity corrections to the cross section of e + e - pair production in ultrarelativistic nuclear collisions

- R. N. Lee, A. Milstein, V. Serbo
- Physics
- 2 August 2001

We analyze the structure of the Coulomb and unitarity corrections to the single e + e - pair production, as well as the cross section σ n for the multiple pair production in collision of… Expand

Analytic Epsilon Expansions of Master Integrals Corresponding to Massless Three-Loop Form Factors and Three-Loop g-2 up to Four-Loop Transcendentality Weight

- R. N. Lee, V. Smirnov
- Physics
- 7 October 2010

We evaluate analytically higher terms of the epsilon-expansion of the three-loop master integrals corresponding to three-loop quark and gluon form factors and to the three-loop master integrals… Expand

Coulomb corrections to bremsstrahlung in the electric field of a heavy atom at high energies

- R. N. Lee, A. Milstein, V. Strakhovenko, O. Schwarz
- Physics
- 26 April 2004

We consider the differential and partially integrated cross sections for bremsstrahlung from high-energy electrons in an atomic field, with this field taken into account exactly. We use the… Expand

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