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How to Trust Learned Loop Amplitudes

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arxiv 2601.00950 v2 pith:7IWEXOGL submitted 2026-01-02 hep-ph

How to Trust Learned Loop Amplitudes

classification hep-ph
keywords precisionamplitudelearnedphaseregionsspacesurrogatesaccurate
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Higher-order theory predictions are crucial for the precision LHC program, but the time-consuming amplitude evaluation challenges the corresponding Monte-Carlo simulations. Machine-learned amplitude surrogates can resolve this problem, if we can guarantee their precision over the entire phase space. First, we show that our surrogates provide a calibrated learned uncertainty, even for non-Gaussian systematics; second, we describe how less accurate phase space regions can be identified; third, we demonstrate how the precision in these regions can be improved reliably.

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