Higgs Scalars and the Nonleptonic Weak Interactions

Citation

Hill, Christopher Thaddeus (1977) Higgs Scalars and the Nonleptonic Weak Interactions. Dissertation (Ph.D.), California Institute of Technology. doi:10.7907/D7MH-GT60. https://resolver.caltech.edu/CaltechETD:etd-11112004-110424

Abstract

NOTE: Text or symbols not renderable in plain ASCII are indicated by [...]. Abstract is included in .pdf document. We study the contributions to the nonleptonic weak Hamiltonian of Higgs bosons within the context of two typical gauge models of the flavor interactions and the SU(3) of color strong interactions (QCD). Processes mediated by charged bosons lead to [...] = 1 transitions and [...] = 0 parity violations. The effects of QCD upon the general intermediate spin-zero boson exchange Hamiltonian are investigated using the methods of short distance expansions and the renormalization group. It is found that induced gluonic processes, such as the "gluo-magnetic" moment transition s -> d + gluon, are dramatically suppressed. On the other hand, operators containing lighter quarks, such as, [...], are found to mix with operators involving heavy quarks, such as [...], which can occur in the Hamiltonian with large coefficients. We argue that the purely light quark-involving operators have large matrix elements compared to their current-current Hamiltonian counterparts and, hence, Higgsons can account for a large part of the [...] rule nonleptonic decays and nuclear parity violation. We found that this contribution is limited by the [...] mass difference, which may be due in part to second order weak Higgson exchange. We also investigate the properties of several multi-Higgson Lagrangians with respect to their symmetry breaking properties, as are relevant to the models considered here.

Thesis Files