Top Mass and Isospin Breaking in Dynamical Symmetry Breaking Scenario

We consider a scenario where the top-quark mass is generated dynamically, and study the implication of the present experimental values for $m_t$ and the $T$ parameter. We assume technicolor-like scenario for inducing the $W$ mass and an effective four fermi operator for inducing the top-quark mass. We also assume that only this four fermi operator is relevant at low energy. Then we estimate in detail the strength $G$ and the intrinsic mass scale $M$ of the four fermi operator. Unitarity bound is used to quantify the strength of $G$. We find that $G/4\pi \sim {\cal O}(1)$ and that $M$ is of the order of $\Lambda_{TC} \simeq 1 \sim 2$~TeV or less. Namely the four fermi operator cannot be treated as `point-like' around the electroweak scale. Furthermore we estimate the contribution of the four fermi operator to the $T$ parameter. We find that the QCD correction to the top-quark mass function reduces the contribution to the $T$ parameter by about 40\%. By comparing the results with the present experimental bound, we obtain another upper bound on $M$ which is typically in several to 10~TeV region.Comment: 29 pages, 12 Postscript figures, LaTeX uses epsf.sty, epsfig.sty, and psfig.sty. Only Report # is corrected to TU-50

Direct observation of the phase space footprint of a painting injection in the Rapid Cycling Synchrotron at the Japan Proton Accelerator Research Complex

The 3 GeV Rapid Cycling Synchrotron (RCS) at Japan Proton Accelerator Research Complex is nearly at the operational stage with regard to the beam commissioning aspects. Recently, the design painting injection study has been commenced with the aim of high output beam power at the extraction. In order to observe the phase space footprint of the painting injection, a method was developed utilizing a beam position monitor (BPM) in the so-called single pass mode. The turn-by-turn phase space coordinates of the circulating beam directly measured using a pair of BPMs entirely positioned in drift space, and the calculated transfer matrices from the injection point to the pair of BPMs with several successive turns were used together in order to obtain the phase space footprint of the painting injection. There are two such pairs of BPMs placed in two different locations in the RCS, the results from which both agreed and were quite consistent with what was expected