BlackHat

Automated implementation of on-shell methods for one-loop amplitudes. 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 formulæ 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.


References in zbMATH (referenced in 59 articles )

Showing results 1 to 20 of 59.
Sorted by year (citations)

1 2 3 next

  1. Badger, Simon; Brønnum-Hansen, Christian; Hartanto, Heribertus Bayu; Peraro, Tiziano: Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case (2019)
  2. Bourjaily, Jacob L.; Herrmann, Enrico; Trnka, Jaroslav: Prescriptive unitarity (2017)
  3. Frellesvig, Hjalte; Papadopoulos, Costas G.: Cuts of Feynman integrals in Baikov representation (2017)
  4. Hahn, Thomas: Computer algebra in high-energy physics (invited talk) (2016)
  5. Bailey, David H.; Borwein, Jonathan M.: High-precision arithmetic in mathematical physics (2015)
  6. Bury, M.; van Hameren, A.: Numerical evaluation of multi-gluon amplitudes for high energy factorization (2015)
  7. Gerwick, Erik; Schumann, Steffen; Höche, Stefan; Marzani, Simone: Soft evolution of multi-jet final states (2015)
  8. Alwall, J.; Frederix, R.; Frixione, S.; Hirschi, V.; Maltoni, F.; Mattelaer, O.; Shao, H.-S.; Stelzer, T.; Torrielli, P.; Zaro, M.: The automated computation of tree-level and next-to-leading order differential cross sections, and their matching to parton shower simulations (2014)
  9. Guillet, J. Ph.; Heinrich, G.; von Soden-Fraunhofen, J. F.: Tools for NLO automation: Extension of the golem95C integral library (2014)
  10. Peraro, Tiziano: Ninja: automated integrand reduction via Laurent expansion for one-loop amplitudes (2014)
  11. Donati, Alice M.; Pittau, Roberto: Gauge invariance at work in FDR: (H\to\gamma\gamma) (2013)
  12. Søgaard, Mads: Global residues and two-loop hepta-cuts (2013)
  13. Søgaard, Mads; Zhang, Yang: Multivariate residues and maximal unitarity (2013)
  14. Anastasiou, Charalampos; Herzog, Franz; Lazopoulos, Achilleas: The fully differential decay rate of a Higgs boson to bottom-quarks at NNLO in QCD (2012)
  15. Badger, Simon; Frellesvig, Hjalte; Zhang, Yang: An integrand reconstruction method for three-loop amplitudes (2012)
  16. Badger, Simon; Frellesvig, Hjalte; Zhang, Yang: Hepta-cuts of two-loop scattering amplitudes (2012)
  17. Bailey, D. H.; Barrio, R.; Borwein, J. M.: High-precision computation: mathematical physics and dynamics (2012)
  18. Britto, Ruth; Mirabella, Edoardo: External leg corrections in the unitarity method (2012)
  19. Franco, Sebastián: Bipartite field theories: from D-brane probes to scattering amplitudes (2012)
  20. Ita, Harald; Ozeren, Kemal: Colour decompositions of multi-quark one-loop QCD amplitudes (2012)

1 2 3 next