Isospin-breaking and all-to-all propagators on the lattice
Isospin-breaking and all-to-all propagators on the lattice
The precision calculation of hadronic observables allows for a detailed understanding of the physical world and analysis of the Standard Model. Many of the observables calculated using lattice QCD have reached a precision where percent level isospinbreaking corrections (the splitting of the up and down quark mass and QED effects) have become significant. In order to improve the precision of numerical predictions using lattice QCD, we need to calculate isospin-breaking effects to correct existing results. In this thesis we present the calculation of the isospin-breaking correction to a number of quantities, including leptonic decay rates in order to improve the precision of CKM matrix elements. We employ a novel method to calculate correlators using all-to-all propagators to form meson fields. These meson fields allow us to form many correlators with precision through the reuse of data.
University of Southampton
Richings, James, Peter
f8c385af-5869-4d31-a021-49df9959fdf0
October 2021
Richings, James, Peter
f8c385af-5869-4d31-a021-49df9959fdf0
Juttner, Andreas
a90ff7c5-ae8f-4c8e-9679-b5a95b2a6247
Richings, James, Peter
(2021)
Isospin-breaking and all-to-all propagators on the lattice.
University of Southampton, Doctoral Thesis, 263pp.
Record type:
Thesis
(Doctoral)
Abstract
The precision calculation of hadronic observables allows for a detailed understanding of the physical world and analysis of the Standard Model. Many of the observables calculated using lattice QCD have reached a precision where percent level isospinbreaking corrections (the splitting of the up and down quark mass and QED effects) have become significant. In order to improve the precision of numerical predictions using lattice QCD, we need to calculate isospin-breaking effects to correct existing results. In this thesis we present the calculation of the isospin-breaking correction to a number of quantities, including leptonic decay rates in order to improve the precision of CKM matrix elements. We employ a novel method to calculate correlators using all-to-all propagators to form meson fields. These meson fields allow us to form many correlators with precision through the reuse of data.
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Published date: October 2021
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Local EPrints ID: 475977
URI: http://eprints.soton.ac.uk/id/eprint/475977
PURE UUID: a45dfbb0-24c6-4b26-a9e1-5f0fb37ddede
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Date deposited: 03 Apr 2023 16:46
Last modified: 01 Oct 2024 04:01
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Author:
James, Peter Richings
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