MultipleChannel Generalization of LellouchLüscher Formula
Abstract
We describe a generalization of the LellouchL\'uscher formula to the case of multiple stronglycoupled 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 fourparticle 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 latticeQCD calculation of weak decay rates for D > pi pi and D > K Kbar. Our results allow for arbitrary total momentum and hold for degenerate or nondegenerate particles.
 Authors:

 Fermilab
 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) (SC25)
 OSTI Identifier:
 1542975
 Report Number(s):
 arXiv:1211.0511; FERMILABCONF12857T
1198026
 DOE Contract Number:
 AC0207CH11359
 Resource Type:
 Conference
 Journal Name:
 PoS
 Additional Journal Information:
 Journal Volume: LATTICE2012; Conference: 30th International Symposium on Lattice Field Theory, Cairns, Australia, 06/2406/29/2012
 Country of Publication:
 United States
 Language:
 English
Citation Formats
Hansen, Maxwell T., and Sharpe, Stephen R. MultipleChannel Generalization of LellouchLüscher Formula. United States: N. p., 2012.
Web. doi:10.22323/1.164.0127.
Hansen, Maxwell T., & Sharpe, Stephen R. MultipleChannel Generalization of LellouchLüscher Formula. United States. doi:10.22323/1.164.0127.
Hansen, Maxwell T., and Sharpe, Stephen R. Thu .
"MultipleChannel Generalization of LellouchLüscher Formula". United States. doi:10.22323/1.164.0127. https://www.osti.gov/servlets/purl/1542975.
@article{osti_1542975,
title = {MultipleChannel Generalization of LellouchLüscher Formula},
author = {Hansen, Maxwell T. and Sharpe, Stephen R.},
abstractNote = {We describe a generalization of the LellouchL\'uscher formula to the case of multiple stronglycoupled 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 fourparticle 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 latticeQCD calculation of weak decay rates for D > pi pi and D > K Kbar. Our results allow for arbitrary total momentum and hold for degenerate or nondegenerate particles.},
doi = {10.22323/1.164.0127},
journal = {PoS},
number = ,
volume = LATTICE2012,
place = {United States},
year = {2012},
month = {11}
}