Leptonic widths of heavy quarkonia: QCD/NRQCD matching for the electromagnetic current at O(α_s v^2)

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dc.creatorHart, A.
dc.creatorvon Hippel, G. M.
dc.creatorHorgan, R. R.
dc.date2006-09-01
dc.date.accessioned2026-07-07T10:41:14Z
dc.date.available2026-07-07T10:41:14Z
dc.descriptionWe construct the S-wave part of the electromagnetic vector annihilation current to $O(α_s v^2)$, where $v$ is the non-relativistic quark velocity, for heavy quarks whose dynamics are described by the NRQCD action on the lattice. The NRQCD vector current for $Q\bar{Q}$ annihilation is expressed as a linear combination of lattice operators with quantum numbers L=0, $J^P=1^-$, and the coefficients are determined by matching to the corresponding continuum current in QCD to$O(v^2)$ at one-loop. The annihilation channel gives a complex amplitude with Coulomb-exchange and infrared singularities, making a careful choice for the contours of integration and infrared subtraction functions in the numerical integration necessary. An automated vertex generation program written in Python is employed, allowing us to use a realistic NRQCD action and an improved gluon lattice action; a change in the definition of either action is easily accommodated in this procedure. The final result is applicable to simulations of electromagnetic decays of heavy quarkonia, notably the $Υ$ meson.
dc.description7 pages, 3 figures, talk presented at Lattice2006(Electroweak Decays and Mixing)
dc.identifierhttps://arxiv.org/abs/hep-lat/0609002
dc.identifierhttp://arxiv.org/abs/hep-lat/0609002
dc.identifierPoSLAT2006:098,2006
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/181565
dc.subjectHigh Energy Physics - Lattice
dc.titleLeptonic widths of heavy quarkonia: QCD/NRQCD matching for the electromagnetic current at O(α_s v^2)
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