On-the-fly reduction of open loops
By F. Buccioni, Stefano Pozzorini, M. Zoller. The European Physical Journal C, 2017
163 citations recorded by the source corpus.
Building on the open-loop algorithm we introduce a new method for the automated construction of one-loop amplitudes and their reduction to scalar integrals. The key idea is that the factorisation of one-loop integrands in a product of loop segments makes it possible to perform various operations on-the-fly while constructing the integrand. Reducing the integrand on-the-fly, after each segment multiplication, the construction of loop diagrams and their reduction are unified in a single numerical recursion. In this way we entirely avoid objects with high tensor rank, thereby reducing the complexity of the calculations in a drastic way. Thanks to the on-the-fly approach, which is applied also to helicity summation and for the merging of different diagrams, the speed of the original open-loop algorithm can be further augmented in a very significant way. Moreover, addressing spurious singularities of the employed reduction identities by means of simple expansions in rank-two Gram determinants, we achieve a remarkably high level of numerical stability. These features of the new algorithm, which will be made publicly available in a forthcoming release of the OpenLoops program, are particularly attractive for NLO multi-leg and NNLO real–virtual calculations.
Subfields: Artificial Intelligence, Computational Theory and Mathematics, Nuclear and High Energy Physics
View Paper: https://www.semanticscholar.org/paper/81c76db60026ab7bded7be17e7d749da7d60d878
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In Artificial Intelligence
- Cms Collaboration
- G. Soyez
- Gudrun Heinrich
- I. Moult
- A. Larkoski
- Stefan Dittmaier
- Ansgar Denner
- Valentin Hirschi
In Computational Theory and Mathematics
- Stefan Kallweit
- M. Grazzini
- Ansgar Denner
- Stefan Dittmaier
- Gudrun Heinrich
- Stefano Pozzorini
- Thomas Gehrmann
- I. Moult
In Nuclear and High Energy Physics
- Atlas Collaboration
- Cms Collaboration
- Gudrun Heinrich
- M. Schönherr
- Ansgar Denner
- Stefan Kallweit
- Stefan Dittmaier
- A. Larkoski
Citations in the corpus
- Higgs boson pair production at NNLO with top quark mass effects (2018, methodology): “Thanks to the numerical stability of the applied algorithms in OpenLoops together with Collier, the bulk of the phase-space points remains stable in double precision when approaching qT → 0, even close to the dipole singularity, i.e. in the NNLO double-unresolved limits.”
- Electroweak radiative corrections for collider physics (2019, methodology): “[71, 235], sketched at the end of Section 3.”
- Les Houches 2017: Physics at TeV Colliders Standard Model Working Group Report (2017, background): “[557], and will be part of OpenLoops2 [551].”