Semileptonic Decays: an Update Down Under

Details Semileptonic Decays: an Update Down Under Semileptonic Decays: an Update Down Under

1996-01-26

arxiv.org/abs/hep-lat/9601017v1

Nucl.Phys.Proc.Suppl. 47 (1996) 17-30

Physics

High Energy Physics

High Energy Physics - Lattice

14 pages, 9 postscript figures, requires espcrc2.sty

Scientific paper

10.1016/0920-5632(96)00029-1

Heavy-meson semileptonic decays calculations on the lattice are reviewed. The focus is upon obtaining reliable matrix elements. Errors that depend upon the lattice spacing, $a$, are an important source of systematic error. Full $O(a)$ improvement of matrix elements for arbitrary-mass four-component quarks is discussed. With improvement, bottom-quark matrix elements can be calculated directly using current lattices. Momentum dependent errors for $O(a)$-improved quarks and statistical noise limit momenta to around 1 GeV/c with current lattices. Hence, maximum recoil momenta can be reached for $D$ decays while only a fraction of the maximum recoil momentum can be reliably studied for the light-meson decay modes of the $B$. Differential decay rates and partial widths are phenomenologically important quantities in $B$ decays that can be reliably determined with present lattices.

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