Bottomonium Decay Matrix Elements from Lattice QCD with Two Light Quarks

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dc.creatorBodwin, G. T.
dc.creatorSinclair, D. K.
dc.creatorKim, S.
dc.date2001-07-13
dc.date2002-01-10
dc.date.accessioned2026-07-07T12:02:37Z
dc.date.available2026-07-07T12:02:37Z
dc.descriptionWe calculate the long-distance matrix elements for the decays of the Upsilon (eta_b) and chi_b (h_b) states in lattice QCD with two flavors of light dynamical quarks. We relate the lattice matrix elements to their continuum counterparts through one-loop order in perturbation theory. In the case of the leading S-wave matrix element, we compare our result with a phenomenological value that we extract from the experimental leptonic decay rate by using the theoretical expression for the decay rate, accurate through relative order alpha_s. Whereas estimates of the leading S-wave matrix element from quenched QCD are 40--45% lower than the phenomenological value, the two-flavor estimate of the same matrix element is close to the phenomenological value. Extrapolating to the real world of 2+1 light flavors, we find that this matrix element is approximately 6% higher than the phenomenological value, but that the phenomenological value lies within our error bars. We also compute the color-singlet and color-octet matrix elements for P-wave decays. We find the value of the color-singlet matrix element for 2+1 flavors to be approximately 70% larger than the quenched value and the value of the color-octet matrix element for 2+1 flavors to be approximately 40% larger than the quenched value.
dc.description29 pages, REVTEX, 4 Postscript figures, more extensive discussion of fitting procedures and uncertainties, minor additional revisions and corrections
dc.identifierhttps://arxiv.org/abs/hep-lat/0107011
dc.identifierhttp://arxiv.org/abs/hep-lat/0107011
dc.identifierPhys.Rev.D65:054504,2002
dc.identifierdoi:10.1103/PhysRevD.65.054504
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207501
dc.subjectHigh Energy Physics - Lattice
dc.subjectHigh Energy Physics - Phenomenology
dc.titleBottomonium Decay Matrix Elements from Lattice QCD with Two Light Quarks
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