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Extracting scattering amplitudes for arbitrary two-particle systems with one-particle left-hand cuts via lattice QCD
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We derive a general formalism that relates the spectrum of two-particle systems in a finite volume to physical scattering amplitudes, taking into account the presence of any left-hand branch cuts due to single-particle exchanges. The method first relates the finite-volume spectrum to an infinite-volume short-range quantity, denoted \mathcal{M}_0, and then relates the latter to the physical scattering amplitudes via known integral equations. The derivation of both relations is performed using all-orders perturbation theory and is exact up to neglected exponentially suppressed volume dependence. The relations hold for arbitrary two-particle systems with any number of coupled channels, non-identical and non-degenerate particles, and any intrinsic spin.
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Cited by 2 Pith papers
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Analytic decomposition of two-body electroweak processes with left-hand cuts
An on-shell decomposition of 2+J o2 electroweak amplitudes isolates OPE poles, logs, and triangle singularities, leaving only smooth short-distance functions.
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