Generating heavy particles with energy and momentum conservation
Michal Meres, Ivan Melo, Boris Tomasik, Vladimir Balek, Vladimir Cerny

TL;DR
The paper introduces REGGAE, a new algorithm for generating particle momenta that conserves energy and momentum, suitable for simulating multiparticle production in high-energy collisions.
Contribution
REGGAE is a novel algorithm that efficiently generates Lorentz-invariant phase space configurations for many particles, conserving energy and momentum, tailored for high-energy physics simulations.
Findings
REGGAE produces configurations with large weights efficiently.
The algorithm is suitable for multiparticle production in hadronic and nuclear collisions.
It outperforms existing methods in generating physically consistent particle momenta.
Abstract
We propose a novel algorithm, called REGGAE, for the generation of momenta of a given sample of particle masses, evenly distributed in Lorentz invariant phase space and obeying energy and momentum conservation. In comparison to other existing algorithms, REGGAE is designed for the use in multiparticle production in hadronic and nuclear collisions where many hadrons are produced and a large part of the available energy is stored in the form of their masses. The algorithm uses a loop simulating multiple collisions which lead to production of configurations with reasonably large weights.
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