Two-parton twist-3 factorization in perturbative QCD

We prove collinear factorization theorem for the process $\pi\gamma^*\to\pi$ at the twist-3 level in the covariant gauge by means of the Ward identity, concentrating on the two-parton case. It is shown that soft divergences cancel and collinear divergences are grouped into the pseudo-scalar and pseudo-tensor two-parton twist-3 pion distribution amplitudes. The delicate summation of a complete set of diagrams for achieving factorization in momentum, spin, and color spaces is emphasized. The proof is then extended to the exclusive semileptonic decay $B\to\pi l\bar\nu$, assuming the hard scale to be of $O(\sqrt{\bar\Lambda M_B})$, where $\bar\Lambda$ is a hadronic scale and $M_B$ the $B$ meson mass. We explain the distinction between the factorization of collinear divergences for a pion distribution amplitude and of soft divergences for a $B$ meson distribution amplitude. The gauge invariance and universality of the two-parton twist-3 pion distribution amplitudes are confirmed. The proof presented here can accommodate the leading twist-2 case. We then compare our proof with that performed in the framework of soft-collinear effective theory.Comment: 43 pages, 7 figures, many parts rewritten and updated reference

Public Outreach Report: Templeton Planning and Design Studies Fall 2012

This Public Outreach Report provides a summary of community outreach efforts done as part of the process to develop a community shared vision for the future development of Templeton. This planning effort was conducted as a class project by fourth year students in the City and Regional Planning Department at California Polytechnic State University over a five months period during the academic year of 2012-2013

Shandon Plan, Fall 2003/ Winter 2004

Shandon is a small community located about twenty miles east of Paso Robles in northern San Luis Obispo County. The town is adjacent to state Highway 46, and its main street, Centre Street, is also a state route—Highway 41—which runs through the center of town. The town’s population is growing, and currently totals about one thousand residents. The town’s population comprises two main groups; there are roughly equal numbers of Latino and white residents living in Shandon. Shandon has very few services to offer its residents. The population is currently too small to support many businesses such as shops, restaurants, and other commercial activities. There is also a shortage in medical services, with no local facilities. The only services located in Shandon now are a Post Office, a small market, and a supply store. Residents currently must travel to other cities to fulfill their everyday needs—or go without

Hubble Space Telescope Photometry of the Dwarf Spheroidal Galaxy ESO 410-G005

We present HST WFPC2 imaging of the nearby low-surface-brightness dwarf spheroidal galaxy ESO 410-G005, which has been resolved into stars for the first time. The resulting color-magnitude diagram for about 2500 stars shows a red giant branch branch with a tip at I=(22.4+-0.15), which yields a distance of D=(1.9+-0.2) Mpc. ESO 410-G005 is found to be metal-poor with a mean metallicity of (-1.8+-0.4) dex estimated from its red giant branch. Upper asymptotic giant branch stars appear to be present near the center of the galaxy, indicative of a substantial, centrally concentrated intermediate-age population, unless these objects are artifacts of crowding. Previous studies did not detect ESO 410-G005 in H alpha or in HI. ESO 410-G005 is a probable member of the Sculptor group. Its linear separation from the nearest spiral, NGC 55, is 230 kpc on the sky. The deprojected separation ranges from 340 to 615 kpc depending on the assumed distance of NGC 55. ESO 410 G005 appears to be a relatively isolated dSph within the Sculptor group. Its absolute magnitude, Mv = (-12.1+-0.2) mag, its central surface brightness, mu_V = (22.7+-0.1) mag/arcsec^2, and its mean metallicity, [Fe/H] = (-1.8+-0.4) dex, follow the trend observed for dwarf galaxies in the Local Group. (abridged)Comment: Accepted for publication in the Astrophysical Journal, Vol. 542 (Oct 20). 23 pages in AASTEX style, 9 figures, partially in gif format to save spac

Delano Strategic Plan, Fall 2008/ Winter 2009

From September 2008 through March 2009, the City and Regional Planning Department of California Polytechnic State University San Luis Obispo (Cal Poly) worked with the City of Delano and its residents to create a strategic plan for the City’s future. The Delano Strategic Plan (DSP) was developed to address the input received from the community during an extensive public outreach process. The chapters included in this strategic plan include Community Outreach, Fundamental Strategies, Land Use, Economic Development, Housing, Health and Safety, and Youth issues

Improving the chromatic dispersion tolerance in long-haul fibre links using the coherent optical orthogonal frequency division multiplexing

Numerical simulations of the coherent optical orthogonal frequency division multiplexing modems are undertaken to investigate the effect of the adaptive modulation, the number of sub-carriers, the cyclic prefix (CP) length, the clipping ratio, quantisation bit resolution and the sampling speed of analogue-to-digital converters (ADCs) on the chromatic dispersion (CD) of a single mode fibre (SMF) at data rates up to 80 Gbps. The use of a large number of sub-carriers is more effective in combating fibre dispersion than employing a long CP; moreover, the optimum number of sub-carriers in the presence of both SMF non-linearities and CD has been identified. The authors show that using a high bit resolution ADC with a high clipping ratio, the transmission distance can be increased at specific data rates. Furthermore, it is shown that ADCs with a low sampling speed also improve the system tolerance to the fibre CD. In addition, simulation results show that the use of adaptive modulation schemes improves spectrum usage efficiency, thus resulting in higher tolerance to the CD when compared with the case in which identical modulation formats are adopted across all sub-carriers