English

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

High Energy Physics - Lattice 2021-03-25 v2 High Energy Physics - Phenomenology

Abstract

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.

Keywords

Cite

@article{arxiv.2012.13957,
  title  = {On the three-particle analog of the Lellouch-L\"uscher formula},
  author = {Fabian Müller and Akaki Rusetsky},
  journal= {arXiv preprint arXiv:2012.13957},
  year   = {2021}
}

Comments

15 pages, 3 figures