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Amplitudes within causal loop-tree duality

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arxiv 2208.01060 v3 pith:UPPI3M5R submitted 2022-08-01 hep-th hep-ph

classification hep-thhep-ph
keywords amplitudeamplitudescausaldualityintegrandloop-treeresultsaccount
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We study scalar one-loop amplitudes in massive $\phi^3$-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 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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