Amplitudes within causal loop-tree duality
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Abstract
We study scalar one-loop amplitudes in massive ϕ 3-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 renormalization 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.
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Physical review D, 106, American Institute of Physics, Melville, NY, 2022, https://doi.org/10.1103/physrevd.106.076006