This thesis describes a lattice study of matrix elements relevant to the semi-leptonic decay of B mesons. The simulation was performed on two lattices, the first with a volume of 16<SUP>3</SUP> x 48 at <I>β</I> = 6.0 and the second with a volume of 24<SUP>3</SUP> x 48 at <I>β </I>= 6.2. Both lattices employ on <I>O</I>(<I>a</I>) non-perturbatively improved fermion action in the quenched approximation. The thesis describes fully the theoretical tools required to analyse such a process on the lattice, in particular Lattice QCD and Heavy Quark Effective Theory. The two form factors relevant to the decay <I>B → Dlv </I>are extracted using these theoretical tools and their dependence on the various kinematical quantities is studied. The Isgur Wise function is obtained from the heavy quark limit of these form factors and its slope is extracted. From a comparison of this Isgur Wise function and the experimental analysis of the decay, the Cabbibo-Kobayashi-Maskawa matrix element <I>V<SUB>cb</SUB></I> is obtained.
| Identifer | oai:union.ndltd.org:bl.uk/oai:ethos.bl.uk:649678 |
| Date | January 1999 |
| Creators | Douglas, Gary |
| Publisher | University of Edinburgh |
| Source Sets | Ethos UK |
| Detected Language | English |
| Type | Electronic Thesis or Dissertation |
| Source | http://hdl.handle.net/1842/13700 |
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