Quenched Chiral Perturbation Theory for Heavy-light Mesons

Details Quenched Chiral Perturbation Theory for Heavy-light Mesons Quenched Chiral Perturbation Theory for Heavy-light Mesons

1995-10-20

arxiv.org/abs/hep-lat/9510037v1

Phys.Rev. D53 (1996) 5125-5135

Physics

High Energy Physics

High Energy Physics - Lattice

22 pages, revtex format, 5 Postscript figures

Scientific paper

10.1103/PhysRevD.53.5125

We formulate quenched chiral perturbation theory for heavy-light mesons coupled to pions, and calculate the one-loop chiral logarithmic corrections to $f_B$, $f_{B_{s}}$, $B_B$ and $B_{B_{s}}$. We also calculate these corrections for ``partially quenched'' theories. In both theories, the chiral logarithms diverge in the chiral limit, indicating that (partially) quenched theories should not be used to study this limit. Comparing the chiral logarithms to those in QCD, we estimate the errors caused by (partial) quenching. By forming suitable ratios, we can reduce the uncertainties in our estimates.

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