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On the three-particle analog of the Lellouch-L\"uscher formula

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arxiv 2012.13957 v2 pith:ZFBMHY5I submitted 2020-12-27 hep-lat hep-ph

Fabian Müller , Akaki Rusetsky This is my paper · ORCID
classification hep-lathep-ph
keywords three-particleformulaanaloglellouch-luscheramplitudesapproachbriefly
verification ladder T0 review T1 audit T2 compute T3 formal
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Using non-relativistic effective field theory, we derive a three-particle analog of the Lellouch-L\"uscher formula at the leading order. This formula relates the three-particle decay amplitudes in a finite volume with their infinite-volume counterparts and, hence, can be used to study the three-particle decays on the lattice. The generalization of the approach to higher orders is briefly discussed.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Emergence of the $\pi(1300)$ Resonance from Lattice QCD

    hep-lat 2025-10 conditional novelty 8.0 of 10

    Lattice QCD plus three-body scattering formalism yields a π(1300)-like pole at (1169±46)−i(62−62+168) MeV, consistent with experiment.

  2. Coupled-channel approach to isotensor $\pi\pi\pi$ scattering from lattice QCD

    hep-lat 2026-01 conditional novelty 6.0 of 10

    The I=2 three-pion spectrum from lattice QCD is described by a repulsive rho-pi S-wave interaction, consistent with a leading-order effective Lagrangian.

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