Leptonic widths of heavy quarkonia: S-Wave QCD/NRQCD matching coefficients for the electromagnetic vector annihilation current at O(alpha_s v^2)

Simple item page
dc.creatorHart, A.
dc.creatorvon Hippel, G. M.
dc.creatorHorgan, R. R.
dc.date2006-05-10
dc.date2007-01-04
dc.date.accessioned2026-07-07T10:24:43Z
dc.date.available2026-07-07T10:24:43Z
dc.descriptionWe construct the S-wave part of the electromagnetic vector annihilation current to O(alpha_s v^2)$ on the lattice for heavy quarks whose dynamics are described by the NRQCD action, where v is the non-relativistic quark velocity. The lattice vector current for QQbar 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 this lattice current to the corresponding continuum current in QCD to O(v^2) to one-loop. The annihilation channel gives a complex amplitude and a proper choice for the contours of integration is needed; a simple Wick rotation is not possible. In this way, and with a careful choice of subtraction functions in the numerical integration, the Coulomb-exchange and infrared singularities appearing in the amplitudes are successfully treated. The matching coefficients are given as a function of the heavy quark mass Ma in lattice units. 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 the electromagnetic decays of heavy quarkonia, notably the Upsilon meson.
dc.descriptionCorrections to section VA
dc.identifierhttps://arxiv.org/abs/hep-lat/0605007
dc.identifierhttp://arxiv.org/abs/hep-lat/0605007
dc.identifierPhys.Rev.D75:014008,2007
dc.identifierdoi:10.1103/PhysRevD.75.014008
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/176286
dc.subjectHigh Energy Physics - Lattice
dc.titleLeptonic widths of heavy quarkonia: S-Wave QCD/NRQCD matching coefficients for the electromagnetic vector annihilation current at O(alpha_s v^2)
dc.typetext

Files

Collections

arXiv