An Overview of Transverse Momentum Dependent Factorization and Evolution

I review TMD factorization and evolution theorems, with an emphasis on the treatment by Collins and originating in the Collins-Soper-Sterman (CSS) formalism. I summarize basic results while attempting to trace their development over that past several decades.Comment: 14 pages, 1 figure, Submission to EPJ A topical issue on "3D Structure of the Nucleon

Year One portfolio of work

Brief 01-Walk the Line; Brief 02-The Nomad; Brief 03-The Fridge; Brief 04-The Solid Void; One Day Project 01-The Film; One Day Project 02-The Shadow; Brief 05-The Modern Living Project-Morphosis Exhibition; Brief 06-Beach Hut; Brief 07 CDP-The Gallery; Technology Assignment 01-Construction-Cobtun House; Technology Assignment 02-Environmental-Brooke Combes House

Book Review: Nama Japa: Prayer of the Name in the Hindu and Christian Traditions

A review of Nama Japa: Prayer of the Name in the Hindu and Christian Traditions by Vandana Mataji

RURAL CHILDREN AT A GLANCE

The number of children in nonmetropolitan (nonmetro) areas increased by 3 percent between 1990 and 2000, compared with a 16-percent increase in metropolitan (metro) areas. A number of nonmetro counties lost population in the 1990s due to outmigration of young families, and the small increase in the number of nonmetro children may reflect that. Although rural child poverty rates declined in the 1990s, they remain higher (21 percent) than the rates for urban children (18 percent). In 2003, 2.7 million rural children under 18 were poor, representing 36 percent of the rural poor. The geographic distribution of child poverty-heavily concentrated in the South-is important for targeting poverty reduction policies and programs in nonmetro areas.Community/Rural/Urban Development, Food Security and Poverty,

A representation of the natural numbers by means of cycle-numbers, with consequences in number theory

In this paper we give rules for creating a number triangle T in a manner analogous to that for producing Pascal's arithmetic triangle; but all of its elements belong to {0, 1}, and cycling of its rows is involved in the creation. The method of construction of any one row of T from its preceding rows will be defined, and that, together with starting and boundary conditions, will suffice to define the whole triangle, by sequential continuation. We shall use this triangle in order to define the so-called cycle-numbers, which can be mapped to the natural numbers. T will be called the 'cyclenumber triangle'. First we shall give some theorems about relationships between the cyclenumbers and the natural numbers, and discuss the cycling of patterns within the triangle's rows and diagonals. We then begin a study of figures (i.e. (0,1)- patterns, found on lines, triangles and squares, etc.) within T. In particular, we shall seek relationships which tell us something about the prime numbers. For our later studies, we turn the triangle onto its side and work with a doubly-infinite matrix C. We shall find that a great deal of cycling of figures occurs within T and C, and we exploit this fact whenever we can. The phenomenon of cycling patterns leads us to muse upon a 'music of the integers', indeed a 'symphony of the integers', being played out on the cycle-number triangle or on C. Like Pythagoras and his 'music of the spheres', we may well be the only persons capable of hearing it!

Multiple Hard Partonic Collisions with Correlations in Proton-Proton Scattering

We propose a simple method for incorporating correlations into the impact parameter space description of multiple (semi-)hard partonic collisions in high energy hadron-hadron scattering. The perturbative QCD input is the standard factorization theorem for inclusive dijet production with a lower cutoff on transverse momentum. The width of the transverse distribution of hard partons is fixed by parameterizations of the two-gluon form factor. We then reconstruct the hard contribution to the total inelastic profile function and obtain corrections due to correlations to the more commonly used eikonal description. Estimates of the size of double correlation corrections are based on the rate of double collisions measured at the Tevatron. We find that, if typical values for the lower transverse momentum cutoff are used in the calculation of the inclusive hard dijet cross section, then the correlation corrections are necessary for maintaining consistency with expectations for the total inelastic proton-proton cross section at LHC energies.Comment: Typos fixed, Figures 2,9 and 10 added, matches version published in Phys. Rev.