# On-the-fly reduction of open loops

@article{Buccioni2018OntheflyRO, title={On-the-fly reduction of open loops}, author={Federico Buccioni and S. Pozzorini and Max F. Zoller}, journal={The European Physical Journal C}, year={2018}, volume={78}, pages={1-35} }

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…

## 89 Citations

### A new method for one-loop amplitude generation and reduction in OpenLoops

- Computer Science
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A new method for the automated construction of one-loop amplitudes based on the open-loop algorithm, where various operations are performed on-the-fly while constructing the integrand, which increases the speed of the original open- loop algorithm in a very significant way.

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Abstract
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