Higgs boson decay into two photons in an electromagnetic background

The amplitude for Higgs boson decay into two photons in a homogeneous and time-independent magnetic field is investigated by proper-time regularization in a gauge invariant manner and is found to be singular at large field values. The singularity is caused by the component of the charged vector boson field that is tachyonic in a strong magnetic field. Also tools for the computation of the amplitude in a more general electromagnetic background are developed.Comment: 31 page

Removing the gauge parameter dependence of the effective potential by a field redefinition

The gauge parameter dependence of the effective potential is determined by partial differential equations involving also the Higgs boson field expectation value. Solving these equations by the method of characteristics leads to complete elimination of the gauge parameter dependence of the effective potential. The construction is carried out in the case of the standard model of electroweak unification for the renormalization group improved effective potential up to the next-leading logarithmic order.Comment: 17 page

Introducing Academic Skills in Know-how-based Firms Innovative Potential or Non-complementarity?

This paper contributes with two new findings to the literature on how universities contribute to industrial development. First, it argues and substantiates quantitatively through logistic regression models that introduction of academically skilled graduates in small, know-how-based firms can be instrumental in spurring innovation and upgrading changes in the firms. Second, it argues and substantiates quantitatively that it is not just graduates with technical and natural scientific qualifications that can contribute positively. Graduates with other academic qualifications also hold potential for innovation and upgrading changes in the firms, especially when it comes to major organisational changes. Qua these findings the paper contributes to the literature in two ways. It is a contribution to and substantiation of the ‘broader’ view arguing that universities contribute to industrial development with more than directly applicable information and technologies. And, academically skilled graduates are not only relevant in technological R&D departments of science-based firms.Science; Academic research; Skilled graduates; Innovation; Technological change; Organisational change

The present status and the future of missile aerodynamics

Some recent developments in the state of the art in missile aerodynamics are reviewed. Among the subjects covered are: (1) tri-service/NASA data base, (2) wing-body interference, (3) nonlinear controls, (4) hypersonic transition, (5) vortex interference, (6) airbreathers, supersonic inlets, (7) store separation problems, (8) correlation of missile data, (9) CFD codes for complete configurations, (10) engineering prediction methods, and (11) future configurations. Suggestions are made for future research and development to advance the state of the art of missile aerodynamics

Instanton constraints and renormalization

The renormalization is investigated of one-loop quantum fluctuations around a constrained instanton in $\phi ^4$-theory with negative coupling. It is found that the constraint should be renormalized also. This indicates that in general only renormalizable constraints are permitted.Comment: 29 page