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 71 articles )

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  1. Bourjaily, Jacob L.; Langer, Cameron; Patatoukos, Kokkimidis: \textitlocally-finite quantities in sYM (2021)
  2. Bourjaily, Jacob L.; Herrmann, Enrico; Langer, Cameron; Trnka, Jaroslav: Building bases of loop integrands (2020)
  3. Bourjaily, Jacob L.; Volk, Matthias; von Hippel, Matt: Conformally-regulated direct integration of the two-loop heptagon remainder (2020)
  4. Kuznetsov, S. V.: Stoneley waves at the generalized Wiechert condition (2020)
  5. Abreu, S.; Dormans, J.; Febres Cordero, F.; Ita, H.; Page, B.; Sotnikov, V.: Analytic form of the planar two-loop five-parton scattering amplitudes in QCD (2019)
  6. Badger, Simon; Brønnum-Hansen, Christian; Hartanto, Heribertus Bayu; Peraro, Tiziano: Analytic helicity amplitudes for two-loop five-gluon scattering: the single-minus case (2019)
  7. Bourjaily, Jacob L.; Dulat, Falko; Panzer, Erik: Manifestly dual-conformal loop integration (2019)
  8. De Laurentis, Giuseppe; Maître, Daniel: Extracting analytical one-loop amplitudes from numerical evaluations (2019)
  9. Bourjaily, Jacob L.; Herrmann, Enrico; Trnka, Jaroslav: Prescriptive unitarity (2017)
  10. Frellesvig, Hjalte; Papadopoulos, Costas G.: Cuts of Feynman integrals in Baikov representation (2017)
  11. Bjerrum-Bohr, N. E. J.; Donoghue, John F.; Holstein, Barry R.; Planté, Ludovic; Vanhove, Pierre: Light-like scattering in quantum gravity (2016)
  12. Conkey, Peter; Dubovsky, Sergei: Four loop scattering in the Nambu-Goto theory (2016)
  13. Hirschi, Valentin; Peraro, Tiziano: Tensor integrand reduction via Laurent expansion (2016)
  14. Johansson, Henrik; Ochirov, Alexander: Color-kinematics duality for QCD amplitudes (2016)
  15. Peraro, Tiziano: Scattering amplitudes over finite fields and multivariate functional reconstruction (2016)
  16. Bailey, David H.; Borwein, Jonathan M.: High-precision arithmetic in mathematical physics (2015)
  17. Bury, M.; van Hameren, A.: Numerical evaluation of multi-gluon amplitudes for high energy factorization (2015)
  18. Gerwick, Erik; Schumann, Steffen; Höche, Stefan; Marzani, Simone: Soft evolution of multi-jet final states (2015)
  19. 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)
  20. Guillet, J. Ph.; Heinrich, G.; von Soden-Fraunhofen, J. F.: Tools for NLO automation: Extension of the golem95C integral library (2014)

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