We give a comprehensive review of recent developments on using the pure spinor
formalism to compute massless superstring scattering amplitudes at tree level. The main …

The integrand of any multiloop integral is characterized after Feynman parametrization by
two polynomials. In this review we summarize the properties of these polynomials. Topics …

Feynman integrals are indispensable for precision calculations in quantum field theory. They
occur as soon as one goes beyond the leading order in perturbative quantum field theory …

We calculate the unpolarized and polarized three–loop anomalous dimensions and splitting
functions P NS+, P NS− and P NS s in QCD in the MS‾ scheme by using the traditional …

A bstract We calculate the massless unpolarized Wilson coefficients for deeply inelastic
scattering for the structure functions F 2 (x, Q 2), FL (x, Q 2), xF 3 (x, Q 2) in the\(\overline …

We provide algorithms for symbolic integration of hyperlogarithms multiplied by rational
functions, which also include multiple polylogarithms when their arguments are rational …

Feynman diagrams constitute one of the essential ingredients for making precision
predictions for collider experiments. Yet, while the simplest Feynman diagrams can be …

We present version 4.0 of the symbolic manipulation system Form. The most important new
features are manipulation of rational polynomials and the factorization of expressions. Many …

We prove that the category of mixed Tate motives over ℤ is spanned by the motivic
fundamental group of ℙ 1 minus three points. We prove a conjecture by M. Hoffman which …

A bstract Future high luminosity polarized deep-inelastic scattering experiments will improve
both the knowledge of the spin sub-structure of the nucleons and contribute further to the …