On the rational terms of the one-loop amplitudes

Ossola, Giovanni; Papadopoulos, Costas G.; Pittau, R.

doi:10.1088/1126-6708/2008/05/004

Cited by 257 publications

(350 citation statements)

References 44 publications

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“…values of ℓ such that three, two, and one denominators vanish respectively. In exactly the same way one deals with the computation of R 1 [30]. The only difference w.r.t.…”

Section: Jhep05(2011)044mentioning

confidence: 99%

Automation of one-loop QCD computations

Hirschi

Frederix

Frixione

et al. 2011

J. High Energ. Phys.

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436

466

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We present the complete automation of the computation of one-loop QCD corrections, including UV renormalization, to an arbitrary scattering process in the Standard Model. This is achieved by embedding the OPP integrand reduction technique, as implemented in CutTools, into the MadGraph framework. By interfacing the tool so constructed, which we dub MadLoop, with MadFKS, the fully automatic computation of any infrared-safe observable at the next-to-leading order in QCD is attained. We demonstrate the flexibility and the reach of our method by calculating the production rates for a variety of processes at the 7 TeV LHC.

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“…values of ℓ such that three, two, and one denominators vanish respectively. In exactly the same way one deals with the computation of R 1 [30]. The only difference w.r.t.…”

Section: Jhep05(2011)044mentioning

confidence: 99%

Automation of one-loop QCD computations

Hirschi

Frederix

Frixione

et al. 2011

J. High Energ. Phys.

Self Cite

436

466

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show abstract

“…. , µ rt are taken strictly 4-dimensional (with values 0, 1, 2, 3), and the (D − 4)-dimensional part of the contraction between the TCs and TIs in A 1 is taken into account in the form of an additional rational part A R2 (of type R 2 [53]):…”

Section: Basic Features Of Recolamentioning

confidence: 99%

RECOLA2: REcursive Computation of One-Loop Amplitudes 2

Denner

Lang

Uccirati

2018

Computer Physics Communications

106

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We present the Fortran95 program Recola for the perturbative computation of next-to-leading-order transition amplitudes in the Standard Model of particle physics. The code provides numerical results in the 't HooftFeynman gauge. It uses the complex-mass scheme and allows for a consistent isolation of resonant contributions. Dimensional regularization is employed for ultraviolet and infrared singularities, with the alternative possibility of treating collinear and soft singularities in mass regularization. Recola supports various renormalization schemes for the electromagnetic and a dynamical N f -flavour scheme for the strong coupling constant. The calculation of next-to-leading-order squared amplitudes, summed over spin and colour, is supported as well as the computation of colour-and spin-correlated leadingorder squared amplitudes needed in the dipole subtraction formalism.

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“…Finally, we comment on the computation of the rational part advocated in Ref. [74]. The idea is to split the numerator function of any Feynman diagram into "four-dimensional" terms and (D−4)-dimensional terms.…”

Section: Comments On the Rational Partmentioning

confidence: 99%

One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts

et al. 2012

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The success of the experimental program at the Tevatron re-inforced the idea that precision physics at hadron colliders is desirable and, indeed, possible. The Tevatron data strongly suggests that one-loop computations in QCD describe hard scattering well. Extrapolating this observation to the LHC, we conclude that knowledge of many short-distance processes at next-to-leading order may be required to describe the physics of hard scattering. While the field of oneloop computations is quite mature, parton multiplicities in hard LHC events are so high that traditional computational techniques become inefficient. Recently new approaches based on unitarity have been developed for calculating one-loop scattering amplitudes in quantum field theory. These methods are especially suitable for the description of multi-particle processes in QCD and are amenable to numerical implementations. We present a systematic pedagogical description of both conceptual and technical aspects of the new methods.

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On the rational terms of the one-loop amplitudes

Cited by 257 publications

References 44 publications

Automation of one-loop QCD computations

Automation of one-loop QCD computations

RECOLA2: REcursive Computation of One-Loop Amplitudes 2

One-loop calculations in quantum field theory: From Feynman diagrams to unitarity cuts

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