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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

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

classification hep-lat hep-ph
keywords three-particleformulaanaloglellouch-luscheramplitudesapproachbriefly
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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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