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Title: Multiple-Channel Generalization of Lellouch-Lüscher Formula

Abstract

We describe a generalization of the Lellouch-L\'uscher formula to the case of multiple strongly-coupled decay channels. As in the original formula, our final result is a relation between weak matrix elements in finite and infinite volumes. Our extension is limited to final states with two scalar particles, with center of mass energies below the lowest three- or four-particle threshold. Otherwise the extension is general, accommodating any number of channels, arbitrary strong coupling between channels, as well as any form of weak decay operators in the matrix elements. Among many possible applications, we emphasize that this is a necessary first step on the way to a lattice-QCD calculation of weak decay rates for D -> pi pi and D -> K K-bar. Our results allow for arbitrary total momentum and hold for degenerate or non-degenerate particles.

Authors:
 [1];  [2]
  1. Fermilab
  2. Washington U., Seattle
Publication Date:
Research Org.:
Fermi National Accelerator Lab. (FNAL), Batavia, IL (United States)
Sponsoring Org.:
USDOE Office of Science (SC), High Energy Physics (HEP) (SC-25)
OSTI Identifier:
1542975
Report Number(s):
arXiv:1211.0511; FERMILAB-CONF-12-857-T
1198026
DOE Contract Number:  
AC02-07CH11359
Resource Type:
Conference
Journal Name:
PoS
Additional Journal Information:
Journal Volume: LATTICE2012; Conference: 30th International Symposium on Lattice Field Theory, Cairns, Australia, 06/24-06/29/2012
Country of Publication:
United States
Language:
English

Citation Formats

Hansen, Maxwell T., and Sharpe, Stephen R. Multiple-Channel Generalization of Lellouch-Lüscher Formula. United States: N. p., 2012. Web. doi:10.22323/1.164.0127.
Hansen, Maxwell T., & Sharpe, Stephen R. Multiple-Channel Generalization of Lellouch-Lüscher Formula. United States. doi:10.22323/1.164.0127.
Hansen, Maxwell T., and Sharpe, Stephen R. Thu . "Multiple-Channel Generalization of Lellouch-Lüscher Formula". United States. doi:10.22323/1.164.0127. https://www.osti.gov/servlets/purl/1542975.
@article{osti_1542975,
title = {Multiple-Channel Generalization of Lellouch-Lüscher Formula},
author = {Hansen, Maxwell T. and Sharpe, Stephen R.},
abstractNote = {We describe a generalization of the Lellouch-L\'uscher formula to the case of multiple strongly-coupled decay channels. As in the original formula, our final result is a relation between weak matrix elements in finite and infinite volumes. Our extension is limited to final states with two scalar particles, with center of mass energies below the lowest three- or four-particle threshold. Otherwise the extension is general, accommodating any number of channels, arbitrary strong coupling between channels, as well as any form of weak decay operators in the matrix elements. Among many possible applications, we emphasize that this is a necessary first step on the way to a lattice-QCD calculation of weak decay rates for D -> pi pi and D -> K K-bar. Our results allow for arbitrary total momentum and hold for degenerate or non-degenerate particles.},
doi = {10.22323/1.164.0127},
journal = {PoS},
number = ,
volume = LATTICE2012,
place = {United States},
year = {2012},
month = {11}
}

Conference:
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