Lattice calculations in the B and K systems
Lattice calculations in the B and K systems
Accurate measurements of the CKM matrix elements can be used to probe the consistency of the Standard Model. The main uncertainties in these measurements are involved in the theoretical calculation of the strong interaction effects on weak decays. Lattice QCD offers the only non-perturbative method to calculate these effects in a model independent way.
Neutral kaon mixing is driven in the low energy effective theory by the ΔS = 2 four fermion operator. We study the weak matrix element of this operator in terms of the kaon B-parameter using Lattice QCD with an improved fermion action. The chiral behaviour of the matrix elements compared with the Wilson results show no significant improvement.
Extraction of CKM matrix elements from B-meson mixing is restricted by the uncertainty in the B-meson decay constant. We calculate this matrix element using b quarks simulated in the static limit of the Heavy Quark Effective Theory. Smeared interpolating operators are used to extract the ground state and the effectiveness of several smearing functions is studied.
We calculate the Bs - Bd and Λb - B mass differences from the lowest order contribution to the static theory. The spin dependent first order corrections are studied in a calculation of the vector-pseudoscalar mass splitting, B* - B. Comparison is made to calculations with Wilson fermions and experimentally measured values. (DX184,249)
University of Southampton
Ewing, Alistair Kyles
9f5c905e-b768-494c-afaa-6e097f8b3583
1994
Ewing, Alistair Kyles
9f5c905e-b768-494c-afaa-6e097f8b3583
Ewing, Alistair Kyles
(1994)
Lattice calculations in the B and K systems.
University of Southampton, Doctoral Thesis.
Record type:
Thesis
(Doctoral)
Abstract
Accurate measurements of the CKM matrix elements can be used to probe the consistency of the Standard Model. The main uncertainties in these measurements are involved in the theoretical calculation of the strong interaction effects on weak decays. Lattice QCD offers the only non-perturbative method to calculate these effects in a model independent way.
Neutral kaon mixing is driven in the low energy effective theory by the ΔS = 2 four fermion operator. We study the weak matrix element of this operator in terms of the kaon B-parameter using Lattice QCD with an improved fermion action. The chiral behaviour of the matrix elements compared with the Wilson results show no significant improvement.
Extraction of CKM matrix elements from B-meson mixing is restricted by the uncertainty in the B-meson decay constant. We calculate this matrix element using b quarks simulated in the static limit of the Heavy Quark Effective Theory. Smeared interpolating operators are used to extract the ground state and the effectiveness of several smearing functions is studied.
We calculate the Bs - Bd and Λb - B mass differences from the lowest order contribution to the static theory. The spin dependent first order corrections are studied in a calculation of the vector-pseudoscalar mass splitting, B* - B. Comparison is made to calculations with Wilson fermions and experimentally measured values. (DX184,249)
Text
55329.pdf
- Version of Record
More information
Published date: 1994
Identifiers
Local EPrints ID: 458509
URI: http://eprints.soton.ac.uk/id/eprint/458509
PURE UUID: 34f0b44f-e350-49b4-a550-994d7cca674f
Catalogue record
Date deposited: 04 Jul 2022 16:50
Last modified: 16 Mar 2024 18:23
Export record
Contributors
Author:
Alistair Kyles Ewing
Download statistics
Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.
View more statistics