An Automated Implementation of On-shell Methods for One-Loop Amplitudes
By C. Berger, Z. Bern, L. Dixon, F. Cordero, D. Forde, H. Ita, David A. Kosower, Daniel Maître. 2008
442 citations recorded by the source corpus.
We present the first results from BlackHat, an automated C++ program for calculating one-loop amplitudes. The program implements the unitarity method and on-shell recursion to construct amplitudes. As input to the calculation, it uses compact analytic formulae for tree amplitudes for four-dimensional helicity states. The program performs all related computations numerically. We make use of recently developed on-shell methods for evaluating coefficients of loop integrals, introducing a discrete Fourier projection as a means of improving efficiency and numerical stability. We illustrate the numerical stability of our approach by computing and analyzing six-, seven-, and eight-gluon amplitudes in QCD and comparing against previously obtained analytic results.
Subfields: Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/995275969f5dc97b3d22a2916dc4968322a581e1
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In Nuclear and High Energy Physics
- Atlas Collaboration
- Cms Collaboration
- M. Schönherr
- Gudrun Heinrich
- F. Krauss
- Fabio Maltoni
- S. Höche
- Ansgar Denner
Citations in the corpus
- Predictions for diphoton production at the LHC through NNLO in QCD (2016, methodology): “The alternate QT -slicing calculation is implemented using the Sherpa framework [68] and uses the OpenLoops [69] and BlackHat [70–72] programs to evaluate the above-cut matrix elements.”
- NLO QCD matrix elements + parton showers in e+e− → hadrons (2012, methodology): “Automated dipole subtraction [29] and the Binoth–Les Houches interface [30] are employed to obtain parton-level events at next-to-leading order with virtual corrections provided by the BLACKHAT library [31–34].”
- A brief introduction to modern amplitude methods (2013, unknown): “These new, efficient methods have enabled the construction of a variety of automated computer programs for generating one-loop amplitudes, including CutTools [47], BlackHat [35], Rocket [48], SAMURAI [49], NGluon [50], MadLoop [51], HELACNLO [52], GoSam [53], Open Loops [54] and Recola [55].”
- Electroweak radiative corrections for collider physics (2019, methodology): “Other codes are limited to specific process classes: • The program Blackhat [320] implements the unitarity method and OS recursion to construct one-loop amplitudes in a numerical approach.”