English

Renormalons on the Lattice

High Energy Physics - Lattice 2009-10-09 v1

Abstract

We present the first lattice calculation of the B-meson binding energy \labar\labar and of the kinetic energy λ1/2mQ\lambda_1/2 m_Q of the heavy-quark inside the pseudoscalar B-meson. In order to cancel the ambiguities due to the ultraviolet renormalons present in the operator matrix elements, this calculation has required the non-perturbative subtraction of the power divergences present in the Lagrangian operator \energy\energy and in the kinetic energy operator \kkinetic\kkinetic. The non-perturbative renormalization of the relevant operators has been implemented by imposing suitable renormalization conditions on quark matrix elements in the Landau gauge.

Keywords

Cite

@article{arxiv.hep-lat/9412049,
  title  = {Renormalons on the Lattice},
  author = {M. Crisafulli and V. Gimenez and G. Martinelli and C. T. Sachrajda},
  journal= {arXiv preprint arXiv:hep-lat/9412049},
  year   = {2009}
}

Comments

4 pages, latex, 2 figure as postscript files

R2 v1 2026-07-22T13:19:42.250Z