A Numerical Unitarity Formalism for One-Loop Amplitudes
R. Keith Ellis, Walter T. Giele (Fermilab), Zoltan Kunszt (Zurich,, ETH)
TL;DR
This paper introduces a semi-numerical unitarity method that efficiently computes the cut-constructible part of one-loop amplitudes, enhancing the numerical calculation of complex multi-leg processes in quantum field theory.
Contribution
It presents a new semi-numerical approach to the unitarity method for one-loop amplitudes, improving computational efficiency and practicality.
Findings
Efficient semi-numerical algorithm for one-loop amplitude calculation
Applicable to multi-leg processes with polynomial complexity
Enhances numerical stability and speed in amplitude computations
Abstract
The unitarity method for calculating one-loop amplitudes provides algorithms of polynomial complexity. This is primarily beneficial for the computation of multi-leg one loop amplitudes and it is therefore of great interest to develop a numerical implementation of the unitarity method. We describe a recently-developed, efficient, semi-numerical unitarity method for the computation of the cut-constructible part of one-loop amplitudes.
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Taxonomy
TopicsNumerical methods for differential equations · Numerical Methods and Algorithms · Polynomial and algebraic computation