Self Consistent 1/Nc1/N_c Expansion In The Presence Of Electroweak Interactions

In the conventional approach to the $1/N_c$ expansion, electroweak interactions are switched off and large $N_c$ QCD is treated in isolation. We study the self-consistency of taking the large $N_c$ limit in the presence of electroweak interaction. If the electroweak coupling constants are held constant, the large $N_c$ counting rules are violated by processes involving internal photon or weak boson lines. Anomaly cancellations, however, fix the ratio of electric charges of different fermions. This allows a self-consistent way to scale down the electronic charge $e$ in the large $N_c$ limit and hence restoring the validity of the large $N_c$ counting rules.Comment: 9 pages in REVTeX, no figure

Two-Loop g -> gg Splitting Amplitudes in QCD

Splitting amplitudes are universal functions governing the collinear behavior of scattering amplitudes for massless particles. We compute the two-loop g -> gg splitting amplitudes in QCD, N=1, and N=4 super-Yang-Mills theories, which describe the limits of two-loop n-point amplitudes where two gluon momenta become parallel. They also represent an ingredient in a direct x-space computation of DGLAP evolution kernels at next-to-next-to-leading order. To obtain the splitting amplitudes, we use the unitarity sewing method. In contrast to the usual light-cone gauge treatment, our calculation does not rely on the principal-value or Mandelstam-Leibbrandt prescriptions, even though the loop integrals contain some of the denominators typically encountered in light-cone gauge. We reduce the integrals to a set of 13 master integrals using integration-by-parts and Lorentz invariance identities. The master integrals are computed with the aid of differential equations in the splitting momentum fraction z. The epsilon-poles of the splitting amplitudes are consistent with a formula due to Catani for the infrared singularities of two-loop scattering amplitudes. This consistency essentially provides an inductive proof of Catani's formula, as well as an ansatz for previously-unknown 1/epsilon pole terms having non-trivial color structure. Finite terms in the splitting amplitudes determine the collinear behavior of finite remainders in this formula.Comment: 100 pages, 33 figures. Added remarks about leading-transcendentality argument of hep-th/0404092, and additional explanation of cut-reconstruction uniquenes

Costco and the Aussie shopper : a case study of the market entry of an international retailer

Retailing is a globalised industry, yet retailers must respond to local shopping habits if they are to be perceived as legitimate by the host country customers. However, some retailers may be unable or unwilling to respond to all customer requirements. Costco, the membership warehouse club retailer, has been successful in its international expansion efforts, establishing its first Australian store in Melbourne in 2009. In the first 12 months of operation, the store became one of Costco\u27s top five stores in the world. We investigated this success by focussing on the customer and used institutional theory to analyse what concessions were made by the customer and the company. Data were collected from consumer interviews, site visits and secondary media and industry sources. Analysis revealed negotiations based on the rejection, acceptance or adaptation of the regulative, normative and cultural cognitive aspects of the Australian shopper and the Costco business model. Customers made concessions to accommodate the new business model, and Costco responded to entrenched Australian shopping habits. This case is the first to explore the outcome of retail internationalisation from the customers\u27 perspective, revealing the concept of mutual concessions. The interaction and subsequent adaptation by both customer and retailer have resulted in the institutionalisation of new shopping norms in the host country and success for the international retailer.<br /