Semileptonic Decays: an Update Down Under

Abstract

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.

14 pages, 9 postscript figures, requires espcrc2.sty

References in corpus (11)

• Lattice Calculation of D- and B-meson Semileptonic Decays, using the Clover Action at beta=6.0 on APE
• Form Factors for B -> pi l nu-bar_l and B -> K* gamma Decays on the Lattice
• Phenomenology from 100 large lattices
• Heavy-light and light-light weak matrix elements on the lattice
• Renormalization of Massive Lattice Fermions
• A Lattice Calculation of the Heavy Quark Universal Form Factor
• A Lattice Calculation of the Heavy Quark Universal Form Factor
• Improved Currents for Heavy Quarks
• The Heavy Quark Masses from Quarkonia
• The Isgur-Wise Function
• Isgur-Wise Function on the Lattice

Cited by in corpus (6)

• Weak Decays Beyond Leading Logarithms
• The Semileptonic Decays $B\to \pi l\nu$ and $D\to \pi l\nu$ from Lattice QCD
• Heavy quark physics from lattice QCD
• Status of Heavy Quark Physics on the Lattice
• B -> pi l nu at three lattice spacings
• Estimated Errors in |Vcd|/|Vcs| from Semileptonic D Decays