We study scalar one-loop amplitudes in massive ϕ3-theory within causal loop-tree duality. We derive a recurrence relation for the integrand of the amplitude. The integrand is by construction free of spurious singularities on H-surfaces. Taking renormalisation and contour deformation into account, we obtain the (integrated) amplitude by Monte Carlo integration. We have checked up to seven points that our results agree with analytic results.
@article{arxiv.2208.01060,
title = {Amplitudes within causal loop-tree duality},
author = {Sascha Kromin and Niklas Schwanemann and Stefan Weinzierl},
journal= {arXiv preprint arXiv:2208.01060},
year = {2022}
}
Comments
43 pages, v2: version to be published, v3: some typos fixed