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- T. Binoth
- 2000

We describe a constructive procedure to separate overlapping infrared divergences in multi– loop integrals. Working with a parametric representation in D = 4 − 2ǫ dimensions, adequate subtractions lead to a Laurent series in ǫ, where the coefficients of the pole– and finite terms are sums of regular parameter integrals which can be evaluated numerically. We… (More)

- T Binoth, J Ph Guillet, E Pilon, M Werlen
- 2008

We discuss the production of photon pairs in hadronic collisions, from fixed target to LHC energies. The study which follows is based on a QCD calculation at full next-to-leading order accuracy, including single and double fragmentation contributions, and implemented in the form of a general purpose computer program of “partonic event generator” type. To… (More)

- T. Binoth
- 2003

In a recent paper [1] we have presented an automated subtraction method for divergent multi-loop/leg integrals in dimensional regularisation which allows for their numerical evaluation, and applied it to diagrams with massless internal lines. Here we show how to extend this algorithm to Feynman diagrams with massive propagators and arbitrary propagator… (More)

- T. Binoth
- 2004

In a series of papers we have developed the method of iterated sector decomposition for the calculation of infrared divergent multi-loop integrals. Here we apply it to phase space integrals to calculate a contribution to the double real emission part of the ee → 2 jets cross section at NNLO. The explicit cancellation of infrared poles upon summation over… (More)

- T Binoth, J Ph Guillet, G Heinrich
- 2000

We consider one-loop scalar and tensor integrals with an arbitrary number of external legs relevant for multi-parton processes in massless theories. We present a procedure to reduce Npoint scalar functions with generic 4-dimensional external momenta to box integrals in (4− 2ǫ) dimensions. We derive a formula valid for arbitrary N and give an explicit… (More)

- T. Binoth, E. Pilon, C. Schubert
- 2005

We present a formalism for the calculation of multi-particle one-loop amplitudes, valid for an arbitrary number N of external legs, and for massive as well as massless particles. A new method for the tensor reduction is suggested which naturally isolates infrared divergences by construction. We prove that for N ≥ 5, higher dimensional integrals can be… (More)

- T. Binoth, J.-Ph. Guillet, G. Heinrich, E. Pilon, T. Reiter
- Computer Physics Communications
- 2009

Pair production of W bosons constitutes an important background to Higgs boson and new physics searches at the Large Hadron Collider LHC. We have calculated the loop-induced gluon-fusion process gg → W W ∗ → leptons, including intermediate light and heavy quarks and allowing for arbitrary invariant masses of the W bosons. While formally of… (More)

We calculate the order O(α2α3 s ) interference effect between the gluon fusion and weak boson fusion processes allowed at the one-loop level in Higgs boson plus 2 jet production at the LHC. The corresponding one-loop amplitudes, which have not been considered in the literature so far, are evaluated analytically using dimensional regularisation and the… (More)

We present a calculation of the NLO QCD corrections for the production of three vector bosons at the LHC, namely ZZZ, WWZ, WZZ, and WWW production. The virtual corrections are computed using the recently proposed method of reduction at the integrand level (OPP reduction). Concerning the contributions coming from real emission we used the dipole subtraction… (More)