Inclusive decays of heavy quarkonium to light particles

We derive the imaginary part of the potential NRQCD Hamiltonian up to order 1/m^4, when the typical momentum transfer between the heavy quarks is of the order of Lambda_{QCD} or greater, and the binding energy E much smaller than Lambda_{QCD}. We use this result to calculate the inclusive decay widt...

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Autores: Bambrilla, Nora, Eiras, Dolors, Pineda, Antonio (Pineda Ruiz), Soto Riera, Joan, Vairo, Antonio
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2003
País:España
Institución:Universidad de Barcelona
Repositorio:Dipòsit Digital de la UB
OAI Identifier:oai:diposit.ub.edu:2445/12458
Acceso en línea:https://hdl.handle.net/2445/12458
Access Level:acceso abierto
Palabra clave:Cromodinàmica quàntica
Fenomenologia (Física)
Partícules (Física nuclear)
Quarks
Quantum chromodynamics
Phenomenological theory (Physics)
Particles (Nuclear physics)
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spelling Inclusive decays of heavy quarkonium to light particlesBambrilla, NoraEiras, DolorsPineda, Antonio (Pineda Ruiz)Soto Riera, JoanVairo, AntonioCromodinàmica quànticaFenomenologia (Física)Partícules (Física nuclear)QuarksQuantum chromodynamicsPhenomenological theory (Physics)Particles (Nuclear physics)QuarksWe derive the imaginary part of the potential NRQCD Hamiltonian up to order 1/m^4, when the typical momentum transfer between the heavy quarks is of the order of Lambda_{QCD} or greater, and the binding energy E much smaller than Lambda_{QCD}. We use this result to calculate the inclusive decay widths into light hadrons, photons and lepton pairs, up to O(mv^3 x (Lambda_{QCD}^2/m^2,E/m)) and O(mv^5) times a short-distance coefficient, for S- and P-wave heavy quarkonium states, respectively. We achieve a large reduction in the number of unknown non-perturbative parameters and, therefore, we obtain new model-independent QCD predictions. All the NRQCD matrix elements relevant to that order are expressed in terms of the wave functions at the origin and six universal non-perturbative parameters. The wave-function dependence factorizes and drops out in the ratio of hadronic and electromagnetic decay widths. The universal non-perturbative parameters are expressed in terms of gluonic field-strength correlators, which may be fixed by experimental data or, alternatively, by lattice simulations. Our expressions are expected to hold for most of the charmonium and bottomonium states below threshold. The calculations and methodology are explained in detail so that the evaluation of higher order NRQCD matrix elements in this framework should be straightforward. An example is provided.The American Physical Society2003info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://hdl.handle.net/2445/12458Articles publicats en revistes (Física Quàntica i Astrofísica)reponame:Dipòsit Digital de la UBinstname:Universidad de BarcelonaInglésReproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.67.034018Physical Review D, 2003, vol. 67, núm. 3, p. 034018-1-034018-35http://dx.doi.org/10.1103/PhysRevD.67.034018(c) The American Physical Society, 2003info:eu-repo/semantics/openAccessoai:diposit.ub.edu:2445/124582026-05-27T06:46:51Z
dc.title.none.fl_str_mv Inclusive decays of heavy quarkonium to light particles
title Inclusive decays of heavy quarkonium to light particles
spellingShingle Inclusive decays of heavy quarkonium to light particles
Bambrilla, Nora
Cromodinàmica quàntica
Fenomenologia (Física)
Partícules (Física nuclear)
Quarks
Quantum chromodynamics
Phenomenological theory (Physics)
Particles (Nuclear physics)
Quarks
title_short Inclusive decays of heavy quarkonium to light particles
title_full Inclusive decays of heavy quarkonium to light particles
title_fullStr Inclusive decays of heavy quarkonium to light particles
title_full_unstemmed Inclusive decays of heavy quarkonium to light particles
title_sort Inclusive decays of heavy quarkonium to light particles
dc.creator.none.fl_str_mv Bambrilla, Nora
Eiras, Dolors
Pineda, Antonio (Pineda Ruiz)
Soto Riera, Joan
Vairo, Antonio
author Bambrilla, Nora
author_facet Bambrilla, Nora
Eiras, Dolors
Pineda, Antonio (Pineda Ruiz)
Soto Riera, Joan
Vairo, Antonio
author_role author
author2 Eiras, Dolors
Pineda, Antonio (Pineda Ruiz)
Soto Riera, Joan
Vairo, Antonio
author2_role author
author
author
author
dc.subject.none.fl_str_mv Cromodinàmica quàntica
Fenomenologia (Física)
Partícules (Física nuclear)
Quarks
Quantum chromodynamics
Phenomenological theory (Physics)
Particles (Nuclear physics)
Quarks
topic Cromodinàmica quàntica
Fenomenologia (Física)
Partícules (Física nuclear)
Quarks
Quantum chromodynamics
Phenomenological theory (Physics)
Particles (Nuclear physics)
Quarks
description We derive the imaginary part of the potential NRQCD Hamiltonian up to order 1/m^4, when the typical momentum transfer between the heavy quarks is of the order of Lambda_{QCD} or greater, and the binding energy E much smaller than Lambda_{QCD}. We use this result to calculate the inclusive decay widths into light hadrons, photons and lepton pairs, up to O(mv^3 x (Lambda_{QCD}^2/m^2,E/m)) and O(mv^5) times a short-distance coefficient, for S- and P-wave heavy quarkonium states, respectively. We achieve a large reduction in the number of unknown non-perturbative parameters and, therefore, we obtain new model-independent QCD predictions. All the NRQCD matrix elements relevant to that order are expressed in terms of the wave functions at the origin and six universal non-perturbative parameters. The wave-function dependence factorizes and drops out in the ratio of hadronic and electromagnetic decay widths. The universal non-perturbative parameters are expressed in terms of gluonic field-strength correlators, which may be fixed by experimental data or, alternatively, by lattice simulations. Our expressions are expected to hold for most of the charmonium and bottomonium states below threshold. The calculations and methodology are explained in detail so that the evaluation of higher order NRQCD matrix elements in this framework should be straightforward. An example is provided.
publishDate 2003
dc.date.none.fl_str_mv 2003
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv https://hdl.handle.net/2445/12458
url https://hdl.handle.net/2445/12458
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Reproducció digital del document publicat en format paper, proporcionada per PROLA i http://dx.doi.org/10.1103/PhysRevD.67.034018
Physical Review D, 2003, vol. 67, núm. 3, p. 034018-1-034018-35
http://dx.doi.org/10.1103/PhysRevD.67.034018
dc.rights.none.fl_str_mv (c) The American Physical Society, 2003
info:eu-repo/semantics/openAccess
rights_invalid_str_mv (c) The American Physical Society, 2003
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv The American Physical Society
publisher.none.fl_str_mv The American Physical Society
dc.source.none.fl_str_mv Articles publicats en revistes (Física Quàntica i Astrofísica)
reponame:Dipòsit Digital de la UB
instname:Universidad de Barcelona
instname_str Universidad de Barcelona
reponame_str Dipòsit Digital de la UB
collection Dipòsit Digital de la UB
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,300719

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