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Bruce McKellar

Publications and source records attributed to Bruce McKellar.

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Relativistic dipole interaction and the topological nature for induced HMW and AC phases

In this work we give, for the first time, the full relativistic Lagrangian density describing the motion of induced electric dipoles in the electric fields which induce the dipole, and the magnetic fields which generate the HMW topological phase. We then use this relativistic Lagrangian density to derive the complete set of conditions for producing topological phases with induced dipoles. We also give the relativistic Lagrangian density describing the motion of induced magnetic dipoles in the magnetic fields which induce the dipole, and the electric fields which generate the AC topological phase, and derive the conditions for this AC phase to be topological. These conditions have been incompletely discussed in previous studies. We note that, in both the AC and HMW cases, the topological phases are generated by the cross product of electric and magnetic fields in the form $\bm{B} \times \bm{E}$ which reinforces the dual nature of these two topological phases.

quant-ph

Hadron decay amplitudes from $B\to K π$ and $B\to ππ$ decays

One can analyze the hadronic decay amplitudes for $B\to PP$ decays using flavor SU(3) symmetry in different ways, such as the algebraic and quark diagram approaches. We derive specific relations between these two sets of amplitudes. In the Standard Model the leading hadronic decay amplitudes depend on only five independent parameters which can be determined using recent experimental data on the branching ratios and CP violating asymmetries of $B\to K π$ and $B \to ππ$. We find, however, that the leading amplitudes provide a best fit solution with a large $χ^2$, which cannot therefore be regarded as a good fit. Keeping sub-leading terms, makes it possible to have a reasonable minimal $χ^2$. We also find that in general the color suppressed decay amplitude is comparable with the color allowed amplitude, contrary to expectations.

hep-ph

A New Method Of Distinguishing Models For The High-$Q^2$ Events At HERA

Many explanations for the excess high-Q^2 $e^+p \to e^+X$ events from H1 and ZEUS at HERA have been proposed each with criticisms. We propose a new method to distinguish different models by looking at a new distribution which is insensitive to parton distribution function but sensitive to new physics.

hep-ph

Constraints on CP violating four-fermion interactions

It has been shown that CP violating electron-nucleon and nucleon-nucleon interactions can induce atomic electric dipole moments and are therefore constrained from experimental data. We show that using the experimental upper bounds on neutron and electron electric dipole moments, one can also obtain constraints, in some cases better ones, on these interactions. In addition stringent constraints can also be obtained for muon-quark and tauon-quark four-fermion CP violating interactions, which cannot be constrained from atomic electric dipole moment experiments.

hep-ph

CP violation in Higgs decays

We study CP violation in fermion pair decays of Higgs boson. We idenfy some CP odd observables related to the tree level decay amplitude. We find that a few thousand Higgs boson decay events can already provide important information about CP violation. If the Higgs boson is produced, such an analysis could be carried out at the SSC, LHC and NLC.

hep-ph