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

Publication type:
Journal article
Metadata:
Autoren
  • Georg von Hippel
DOI
10.22323/1.032.0098
Zeitschrift
Proceedings of XXIVth International Symposium on Lattice Field Theory — PoS(LAT2006)
Datum der Veröffentlichung
2006
Status
Published
Herausgeber
Sissa Medialab
Herausgeber URL
http://dx.doi.org/10.22323/1.032.0098
Datum der Datenerfassung
2018
Titel
Leptonic widths of heavy quarkonia: QCD/NRQCD matching for the electromagnetic current at O(alpha_s v^2)

Data source: Crossref

Other metadata sources:
Abstract
We construct the S-wave part of the electromagnetic vector annihilation current to $O(\alpha_s v^2)$, 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 $\Upsilon$ meson.
Autoren
  • A Hart
  • GM von Hippel
  • RR Horgan
Autoren-URL
http://arxiv.org/abs/hep-lat/0609002v1
Zeitschrift
PoSLAT
Schlüsselwörter
  • hep-lat
  • hep-lat
Notes
7 pages, 3 figures, talk presented at Lattice2006(Electroweak Decays and Mixing)
Paginierung
098
Datum der Veröffentlichung
2006
Datum der Datenerfassung
2006
Datum, an dem der Datensatz öffentlich gemacht wurde
2006
Titel
Leptonic widths of heavy quarkonia: QCD/NRQCD matching for the electromagnetic current at O(α_s v^2)
Ausgabe der Zeitschrift
2006

Files

0609002v1.pdf

Data source: arXiv

Beziehungen:
Property of

Tools