Recent Results on B Meson Oscillations

This paper presents recent time-dependent measurements of neutral B meson oscillations. Similar to the $K^0$--$\bar{K}^0$ system, there are two such systems involving the b quark: $B_d^0$--$\bar{B}_d^0$ and $B_s^0$--$\bar{B}_s^0$. Thus the physical states are respectively $K_{S}$ and $K_{L}$, $(B_d)_S$ and $(B_d)_L$, and $(B_s)_S$ and $(B_s)_L$. The oscillation between each pair of states can be used to determine their mass difference. The present world average for the $(B_d)_S$--$(B_d)_L$ mass difference is $\Delta m_d = 0.457\pm0.019 ps^{-1}$ (or $(3.01\pm0.13)\times 10^{-4}$ eV). Using $f_{B_s}$ = 12\% (the fraction of $B_s$ produced in b events), the current lower limit on the corresponding $\Delta m_s$ is 6.1 ps$^{-1}$ (or $4.0\times 10^{-3}$ eV).Comment: Invited talk at the XVII International Symposium on Lepton-Photon Interactions, Beijing, China, 1995. 26 pages, latex, 15 figure

Electrodynamics Modified by Some Dimension-five Lorentz Violating Interactions: Radiative Corrections

We study radiative corrections to massless quantum electrodynamics modified by two dimension-five LV interactions $\bar{\Psi} \gamma^{\mu} b'^{\nu} F_{\mu\nu}\Psi$ and $\bar{\Psi}\gamma^{\mu}b^{\nu} \tilde{F}_{\mu\nu} \Psi$ in the framework of effective field theories. All divergent one-particle-irreducible Feynman diagrams are calculated at one-loop order and several related issues are discussed. It is found that massless quantum electrodynamics modified by the interaction $\bar{\Psi} \gamma^{\mu} b'^{\nu} F_{\mu\nu}\Psi$ alone is one-loop renormalizable and the result can be understood on the grounds of symmetry. In this context the one-loop Lorentz-violating beta function is derived and the corresponding running coefficients are obtained.Comment: 13 pages, 1 figure. Version to appear in EPJ