Lattice QCD and ThreeParticle Decays of Resonances
Abstract
The majority of stronginteraction resonances have decay channels involving three or more particles, including many of the recently discovered X, Y, and Z resonances. In order to study such resonances from first principles using lattice QCD, one must understand finitevolume effects for three particles in the cubic box used in calculations. Here, we review efforts to develop a threeparticle quantization condition that relates finitevolume energies to infinitevolume scattering amplitudes. We describe in detail the three approaches that have been followed, and present new results on the relationship between the corresponding results. Furthermore, we show examples of the numerical implementation of all three approaches and point out the important issues that remain to be resolved.
 Authors:

 European Organization for Nuclear Research (CERN), Geneva (Switzerland)
 Univ. of Washington, Seattle, WA (United States)
 Publication Date:
 Research Org.:
 Univ. of Washington, Seattle, WA (United States)
 Sponsoring Org.:
 USDOE Office of Science (SC), High Energy Physics (HEP)
 OSTI Identifier:
 1595798
 Grant/Contract Number:
 SC0011637
 Resource Type:
 Accepted Manuscript
 Journal Name:
 Annual Review of Nuclear and Particle Science
 Additional Journal Information:
 Journal Volume: 69; Journal Issue: 1; Journal ID: ISSN 01638998
 Publisher:
 Annual Reviews
 Country of Publication:
 United States
 Language:
 English
 Subject:
 72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS; finitevolume quantum field theory; lattice QCD; threeparticle quantization condition; resonances
Citation Formats
Hansen, Maxwell T., and Sharpe, Stephen R. Lattice QCD and ThreeParticle Decays of Resonances. United States: N. p., 2019.
Web. doi:10.1146/annurevnucl101918023723.
Hansen, Maxwell T., & Sharpe, Stephen R. Lattice QCD and ThreeParticle Decays of Resonances. United States. https://doi.org/10.1146/annurevnucl101918023723
Hansen, Maxwell T., and Sharpe, Stephen R. Sat .
"Lattice QCD and ThreeParticle Decays of Resonances". United States. https://doi.org/10.1146/annurevnucl101918023723. https://www.osti.gov/servlets/purl/1595798.
@article{osti_1595798,
title = {Lattice QCD and ThreeParticle Decays of Resonances},
author = {Hansen, Maxwell T. and Sharpe, Stephen R.},
abstractNote = {The majority of stronginteraction resonances have decay channels involving three or more particles, including many of the recently discovered X, Y, and Z resonances. In order to study such resonances from first principles using lattice QCD, one must understand finitevolume effects for three particles in the cubic box used in calculations. Here, we review efforts to develop a threeparticle quantization condition that relates finitevolume energies to infinitevolume scattering amplitudes. We describe in detail the three approaches that have been followed, and present new results on the relationship between the corresponding results. Furthermore, we show examples of the numerical implementation of all three approaches and point out the important issues that remain to be resolved.},
doi = {10.1146/annurevnucl101918023723},
journal = {Annual Review of Nuclear and Particle Science},
number = 1,
volume = 69,
place = {United States},
year = {2019},
month = {10}
}
Web of Science
Figures / Tables:
Works referencing / citing this record:
Scattering amplitudes and contour deformations
text, January 2019
 Eichmann, Gernot; Duarte, Pedro; Peña, M. T.
 arXiv
Threebody unitarity versus finitevolume $π^+π^+π^+$ spectrum from lattice QCD
text, January 2019
 Mai, M.; Döring, M.; Culver, C.
 arXiv
Consistency checks for twobody finitevolume matrix elements: I. Conserved currents and bound states
text, January 2019
 Briceño, Raúl A.; Hansen, Maxwell T.; Jackura, Andrew W.
 arXiv
Figures / Tables found in this record: