Abstract
In this chapter, we describe the techniques for automatic one-loop scattering amplitude computations by using MadGraph5 [1], which is dubbed as MadLoop5 . It is an important component in the MadGraph5_aMC@NLO [2] framework. In order to avoid possible confusions between MadLoop5 and the original MadLoop4 [3], we want to emphasize here that the core functionalities relevant to the handling of tree-level amplitudes are inherited from MadGraph4 [4] in MadLoop4, whereas MadLoop5 uses MadGraph5. There are significant improvements in MadLoop5 compared to MadLoop4. Some of them are still not public.
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Notes
- 1.
MadLoop4 is written in C++, whereas MadLoop5 is completely rewritten in Python and output in Fortran.
- 2.
I joined in the MadGraph5_aMC@NLO project from September 2012. Under ERC grant LHC theory, I stayed at CERN for one year. Since then, I am collaborating with Dr. Valentin Hirschi in developing MadLoop5.
- 3.
- 4.
We follow the notations in Ref. [2].
- 5.
The new version of FeynRules for generating NLO model will be published in the near future.
- 6.
\(G_{\mu }\) is the fermion constant.
- 7.
TIR interface is only available in the private version. It will be contained in the future release.
- 8.
It is only available in optimized mode of the private version.
- 9.
The accuracy of the coefficients \(c_j\) reported here in quadruple precision is beyond 17 digits.
- 10.
I want to thank Celine Degrande and Benjamin Fuks here for providing us the model.
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Shao, HS. (2016). MadLoop5. In: Heavy Quarkonium Production Phenomenology and Automation of One-Loop Scattering Amplitude Computations. Springer Theses. Springer, Singapore. https://doi.org/10.1007/978-981-10-1624-0_9
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