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Title: Nonperturbative effects in the semileptonic decays of pseudoscalar mesons
Author: Gill, James Fenton
Awarding Body: University of Edinburgh
Current Institution: University of Edinburgh
Date of Award: 2002
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This thesis describes the calculation of the form factors for four semileptonic decays. The decays considered are those where a pseudoscalar meson composed of a heavy and a light valence quark decays to a vector meson containing only light valence quarks. The form factors were calculated in nonperturbatively O(a) improved quenched lattice QCD. To estimate discretisation effects the calculation was done at b = 6.0 and b = 6.2, with lattice 163 x 48 and 243 x 48 respectively. Results are presented for the following semileptonic decays of charmed mesons: Ds (r) ?, D (r) K* and D (r) ρ. The b = 6.2 and b = 6.0 results agree within errors. The b = 6.2 results were used to calculate integrated decay rates and form factor ratios at q2 = 0. The lattice predictions for integrated decay rates are in reasonable agreement with experiment. In some cases the lattice form factor ratios differ significantly from experiment. The simulation results were extrapolated to obtain B (r) ρ form factors at high q2. The lattice results and |Vub| = 3.5 x 10-3 gives the partially integrated decay rate DG(14 GeV2 < q2 < q2max) = 8.7+1.9-1.2x 107 s-1 (lattice statistical errors). This is in agreement with the experimental results of the CLEO collaboration. The systematic error associated with the heavy quark extrapolation is estimated to be similar to the statistical error.
Supervisor: Not available Sponsor: Not available
Qualification Name: Thesis (Ph.D.) Qualification Level: Doctoral
EThOS ID:  DOI: Not available