Amplitudes within causal loop-tree duality

2022/08/01 by Sascha Kromin, Kromin, Sascha, Niklas Schwanemann +3 · 3 citations
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2208.01060

Abstract

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.

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