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Three-particle Lellouch-L\"uscher formalism in moving frames

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arxiv 2211.10126 v2 pith:GNHTN3CJ submitted 2022-11-18 hep-lat hep-phnucl-th

Fabian Müller , Jin-Yi Pang , Akaki Rusetsky , Jia-Jun Wu This is my paper · ORCID
classification hep-lathep-phnucl-th
keywords formalismthree-particlelellouch-luscheraddressedalongaxischoosing
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A manifestly relativistic-invariant Lellouch-L\"uscher formalism for the three-particle decays is proposed. Similarly to ref.[1], the formalism is based on the use of the non-relativistic effective Lagrangians. Manifest Lorentz invariance is guaranteed, as in ref.[2], by choosing the quantization axis along the total four-momentum of the three-particle system. A systematic inclusion of the higher-order derivative couplings, as well as higher partial waves is addressed.

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  1. 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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