QED+QCD Corrections to the Anomalous Magnetic Moment of the Muon
Date
2021
Authors
Westin, Alex
Editors
Advisors
Kamleh, Waseem
Zanotti, James
Zanotti, James
Journal Title
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Thesis
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Abstract
The current 3:7 discrepancy between experimental and Standard Model
determinations of the anomalous magnetic moment has long stood without
resolution. This serves as an important test for the Standard Model of particle
physics, which is the best theory we have to describe the universe at a
subatomic scale. If this discrepancy can be removed though an increase of
the precision of the experimental results and Standard Model calculations,
we will have another important constraint on the Standard Model. On the
other hand, if this discrepancy is increased we will have important evidence
of new physics effects, beyond our current understanding. Either resolution
will be of great impact for the physics community.
The large majority of the Standard Model uncertainty comes from hadronic
contributions. In this thesis we investigate improvements to the leading order
hadronic contribution using a technique called lattice gauge theory. In
particular, we will look at the inclusion of QED corrections to the leading
order hadronic contribution using fully dynamical QCD+QED gauge eld
ensembles generated by the QCDSF collaboration. This investigation is undertaken
using two lattice volumes, with three sets of sub-ensembles on
each volume. In order to extrapolate the results to the physical quark mass
we also use a range of partially quenched quark masses, corresponding to
pion masses ranging from 230 MeV to 790 MeV. From this study we find the
QED corrections to be 0:2% 0:1%. While small, this is in no way insignificant.
Current lattice studies aim for a precision greater than 0:5%, making
the QED corrections of great importance in meeting that goal.
We also present an exploratory investigation into the QED corrections
to the leading order disconnected contribution. This is done at the SU(3)
symmetric point using a single lattice volume. We find a QED correction of
O(0:5%).
School/Discipline
School of Physical Sciences
Dissertation Note
Thesis (Ph.D.) -- University of Adelaide, School of Physical Sciences, 2021
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