In this work, we report the lattice calculation of two important quantities which emerge from second order, K0 − ¯ K0 mixing : ∆MK and K. The RBC-UKQCD collaboration has performed the first calculation of ∆MK with unphysical kinematics [1]. We now extend this calculation to near-physical and physical ensembles. In these physical or near-physical calculations, the two-pion energies are below the kaon threshold, and we have to examine the two-pion intermediate states contribution to ∆MK, as well as the enhanced finite volume corrections arising from these two-pion intermediate states. We also report the first lattice calculation of the long-distance contribution to the indirect CP violation parameter, the K. This calculation involves the treatment of a short-distance, ultra-violet divergence that is absent in the calculation of ∆MK, and we will report our techniques for correcting this divergence on the lattice. In this calculation, we used unphysical quark masses on the same ensemble that we used in [1]. Therefore, rather than providing a physical result, this calculation demonstrates the technique for calculating K, and provides an approximate understanding the size of the long-distance contributions. Various new techniques are employed in this work, such as the use of All-Mode-Averaging (AMA), the All-to-All (A2A) propagators and the use of super-jackknife method in analyzing the data.

Thesis (Ph. D.)--University of Texas at Austin, 1998. / Vita. Includes bibliographical references (leaves 298-302). Available also in a digital version from Dissertation Abstracts.

Thesis (Ph.D.)--University of California, Berkeley, 1961. / "Physics Distribution" -t.p. "TID-4500 (16th Ed.)" -t.p. Includes bibliographical references (p. 68-70).

Thesis (Ph.D.)--University of California, Berkeley, 1962. / "UC-34 Physics" -t.p. "TID-4500 (17th Ed.)" -t.p. Includes bibliographical references (p. 104-105).

Thesis (Ph.D.)--University of California, Berkeley, 1963. / "UC-34 Physics" -t.p. "TID-4500 (19 Ed.)" -t.p. Includes bibliographical references (p. 72-74).

Thesis--University of California, Berkeley, 1961. / "UC-34 Physics Distribution" -t.p. "TID-4500 (16th Ed.)" -t.p. Includes bibliographical references (p. 52-53).

Thesis--University of California, Berkeley, 1961. / "UC-34 Physics" -t.p. "TID-4500 (16th Ed.)" -t.p. Includes bibliographical references (p. 122-123).

Thesis (Ph. D.)--University of Chicago, Dept. of Physics, August 1999. / Includes bibliographical references. Also available on the Internet.

No description available.

This thesis describes work towards the search for a low energy excess of electromagnetic events in the MicroBooNE detector. A background primer on the current state of neutrino physics is provided, including a description of the MiniBooNE detector and its published observation of an excess of electromagnetic events at low energies. A description of the MicroBooNE Liquid Argon Time Projection Chamber (LArTPC) detector is given, along with a description of the event selection and reconstruction algorithms developed to select electron neutrino charge-current interactions. A MiniBooNE-like signal is simulated in MicroBooNE with assumptions about the origin of the excess, and the sensitivity to observe such a signal above backgrounds in MicroBooNE is computed. An additional analysis is presented which constrains a dominant background in the MicroBooNE low energy excess search: the beam-intrinsic electron neutrino interactions which come from kaon decay in the beam-line. An essential step in this analysis is to reconstruct the energy of muon neutrino charge-current interactions in which the muon produced in the interaction escapes the detector. A publication detailing the algorithm which leverages the phenomenon of multiple Coulomb scattering to reconstruct the energy of escaping muons is provided as an appendix.