General analysis of scale-setting in classically conformal multiscalar models

In this thesis we investigate the fundamental features of radiatively induced spontaneous symmetry breaking (RSSB) in multiscalar models without classical mass terms. Motivated by addressing the hierarchy problem via the extension of the conformal standard model (cSM) we present a general formalism to analyze the generation of non-trivial minima in the one-loop effective potential via a set of exact criticality equations. Given the intuitive nature of these equations we are able to systematically analyze the RSSB in classically conformal multiscalar models. Specifically, we investigate the interplay of contributions by different particles at the scale of condensation and in the renormalization group running of the coupling parameters. We compare the observed features of RSSB to results obtained when using the commonly used Gildener-Weinberg approximation, which additionally assumes the existence of a flat direction at tree-level. Without making further assumptions to classical scale-invariance we already find cases where one-loop gauge contributions can generally be of the same order of magnitude as the scalar tree-level terms. Thus, allowing for the generation of non-trivial vacua without a tree-level flat direction. The analysis using our approach reveals qualitatively new scenarios of RSSB compared to the Gildener-Weinberg approximation and allows for an intuitive investigation of fundamental properties of scale-setting without making further assumptions to classical scale-invariance

A Survey and Comparison of Industrial and Academic Research on the Evolution of Software Product Lines

Past research on software product lines has focused on the initial development of reusable assets and related challenges, such as cost estimation and implementation issues. Naturally, as software product lines are increasingly adopted throughout industry, their ongoing maintenance and evolution are getting more attention as well. However, it is not clear to what degree research is following this trend, and where the interests and demands of the industry lie. In this technical report, we provide a survey and comparison of selected publications on software product line maintenance and evolution at SPLC. In particular, we analyze and discuss similarities and differences of these papers with regard to their affiliation with industry and academia. From this, we infer directions for future research that pave the way for systematic and organized evolution of software product lines, from which industry may benefit as well.Comment: 8 page

BRST Formalism of Weyl Conformal Gravity

We present the BRST formalism of a Weyl conformal gravity in Weyl geometry. Choosing the extended de Donder gauge-fixing condition (or harmonic gauge condition) for the general coordinate invariance and the new scalar gauge-fixing for the Weyl invariance we find that there is a Poincar${\rm{\acute{e}}}$-like \IOSp(10|10) supersymmetry as in a Weyl invariant scalar-tensor gravity in Riemann geometry. We also point out that there is a gravitational conformal symmetry in quantum gravity although there is a massive Weyl gauge field as a result of spontaneous symmetry breakdown of Weyl gauge symmetry and account for how the gravitational conformal symmetry is spontaneously broken to the Poincar\'e symmetry. The corresponding massless Nambu-Goldstone bosons are the graviton and the dilaton. We also prove the unitarity of the physical S-matrix on the basis of the BRST quartet mechanism.Comment: 37 pages. arXiv admin note: text overlap with arXiv:2204.1120

Conformal Little Higgs

Little Higgs models address the hierarchy problem by identifying the SM Higgs doublet as pseudo-Nambu--Goldstone bosons (pNGB) arising from global symmetries with collective breakings. These models are designed to address the little hierarchy problem up to a scale of $\Lambda\!\sim\! {\cal O}(10)~$TeV. Consequently, these models necessitate an ultraviolet (UV) completion above this scale. On the other hand, conformal extensions of the Standard Model are intriguing because scales emerge as a consequence of dimensional transmutation. In this study, we present a unified framework in which the electroweak hierarchy problem is tackled through a conformal symmetry collectively broken around the TeV scale, offering an appealing UV completion for Little Higgs models. Notably, this framework automatically ensures the presence of the required UV fixed points, eliminating the need for careful adjustments to the particle content of the theory. Moreover, this framework naturally addresses the flavor puzzles associated with composite or Little Higgs models. Furthermore, we suggest that in this framework all known Little Higgs models can be UV-completed through conformal dynamics above the scale $\Lambda$ up to arbitrary high scales.Comment: 8 page

Cloud-Scale Entity Resolution: Current State and Open Challenges

Entity resolution (ER) is a process to identify records in information systems, which refer to the same real-world entity. Because in the two recent decades the data volume has grown so large, parallel techniques are called upon to satisfy the ER requirements of high performance and scalability. The development of parallel ER has reached a relatively prosperous stage, and has found its way into several applications. In this work, we first comprehensively survey the state of the art of parallel ER approaches. From the comprehensive overview, we then extract the classification criteria of parallel ER, classify and compare these approaches based on these criteria. Finally, we identify open research questions and challenges and discuss potential solutions and further research potentials in this field

Updates in a Rule based Language for Objects

The integration of object-oriented concepts into deductive databases has been investigated for a certain time now. Various approaches to incorporate updates into deduction have been proposed. The current paper presents an approach which is based on object versioning; different versions of one object may be created and referenced during an update-process. By means of such versions it becomes possible to exert explicit control on the update process during bottom-up evaluation in a rather intuitive way. The units for updates are the result sets of base methods, i.e. methods, whose results are stored in the object-base and are not defined by rules. However, the update itself may be defined by rules. Update-programs have fixpoint semantics; the fixpoint can be computed by a bottom-up evaluation according to a certain stratification