Search results for "Minimal models"
showing 7 items of 7 documents
Crossing Boundaries: Why Physics Can Help Understand Economics
2019
Socio-economic systems can often successfully be treated as complex systems in the statistical physics sense. This means that the complexity resides in the emerging dynamical behaviour, not in a complicated composition. In order to understand why physics can help to understand socio-economic phenomena with complex behaviour in this sense, I argue that it is necessary to adopt a structural perspective. Accordingly, one has to modify the notion of mechanistic explanations, partly by broadening it. One crucial tool for finding mechanistic explanations in such a structural sense, are minimal models, i.e. models that abstract from micro details in a drastic way. I will show why mechanistic expla…
WMAPing the Universe: Supersymmetry, Dark Matter, Dark Energy, Proton Decay and Collider Physics
2003
In this review we discuss constraints on minimal supersymmetric models of particle physics implied by the recent astrophysical observations of WMAP. Although the prospects of detecting supersymmetry increase and 90 percent of the available MSSM parameter space can safely be reached by the sensitivity of future colliders, nevertheless we pay particular emphasis on discussing regions of the appropriate phase diagrams, which -if realized - would imply that detection of supersymmetry, at least in the context of minimal models, could be out of colliders reach. We also discuss the importance of a precise determination of the radiative corrections to the muon anomalous magnetic moment, both theore…
Minimal 3-loop neutrino mass models and charged lepton flavor violation
2020
We study charged lepton flavor violation for the three most popular 3-loop Majorana neutrino mass models. We call these models "minimal" since their particle content correspond to the minimal sets for which genuine 3-loop models can be constructed. In all the three minimal models the neutrino mass matrix is proportional to some powers of Standard Model lepton masses, providing additional suppression factors on top of the expected loop suppression. To correctly explain neutrino masses, therefore large Yukawa couplings are needed in these models. We calculate charged lepton flavor violating observables and find that the three minimal models survive the current constraints only in very narrow …
Cornering Colored Coannihilation
2018
In thermal dark matter models, allowing the dark matter candidate to coannihilate with another particle can considerably loosen the relic density constraints on the dark matter mass. In particular, introducing a single strongly interacting coannihilation partner in a dark matter model can bring the upper bound on the dark sector energy scale from a few TeV up to about 10 TeV. While these energies are outside the LHC reach, a large part of the parameter space for such coannihilating models can be explored by future hadron colliders. In this context, it is essential to determine whether the current bounds on dark matter simplified models also hold in non-minimal scenarios. In this paper, we s…
Design of Magnetic Polyoxometalates for Molecular Spintronics and as Spin Qubits
2017
Abstract In the past decades, POMs have been used as minimal models in Molecular Magnetism, since they are a convenient playing ground to study fundamental phenomena such as anisotropic magnetic exchange and electron transfer. Now they have jumped to the stage of the rational design of single-ion magnets and are being considered as test subjects for simple experiments in Single-Molecule Spintronics and Molecular Quantum Computing. This chapter contains an overview of recent results that demonstrate the potential of POMs in these emerging fields.
Minimal models of foliated algebraic surfaces
1999
MODELES MINIMAUX DES SURFACES ALGEBRIQUES FEUILLETEES. -Nous etudions les feuilletages holomorphes sur les surfaces algebriques du point de vue de la geometrie birationnelle. Apres avoir introduit une notion de modele minimal, nous classifions les feuilletages qui n'ont pas de modele minimal dans leur classe d'isomorphisme birationnel. Comme corollaire on obtient un resultat concernant la dynamique des diffeomorphismes polynomiaux.
A Calvin Bestiary
2017
This paper compares a number of mathematical models for the Calvin cycle of photosynthesis and presents theorems on the existence and stability of steady states of these models. Results on five-variable models in the literature are surveyed. Next a number of larger models related to one introduced by Pettersson and Ryde-Pettersson are discussed. The mathematical nature of this model is clarified, showing that it is naturally defined as a system of differential-algebraic equations. It is proved that there are choices of parameters for which this model admits more than one positive steady state. This is done by analysing the limit where the storage of sugars from the cycle as starch is shut d…