On bounds for the rho–omega mixing parameter

1976 ◽  
Vol 54 (6) ◽  
pp. 666-671
Author(s):  
T. T. Gien
Keyword(s):  
Parity Violation ◽  
Coupling Strength ◽  
Graphical Representation ◽  
Decay Channel ◽  
Mixing Parameters ◽  
Mixing Parameter ◽  
G Parity ◽  
Transition Amplitudes ◽  
The One

By considering only the order of the coupling strength responsible for the G parity violation mixing in the ρ–ω system, we can find a new bound for the mixing parameters in the 2π decay channel which is stricter than the one obtained previously (Gien). It is also shown that if the sign of the ratio of the transition amplitudes for the decays of 'bare' rho and omega in the 2π channel is known, a part of the bound may even be shown independent of the magnitude of the coupling strength. A new graphical representation is given for comparison.

Proof Theory of the Cut Rule

2018 ◽  
Author(s):  
J. R. B. Cockett ◽  
R. A. G. Seely
Keyword(s):  
Proof Theory ◽  
Graphical Representation ◽  
Basic Component ◽  
Graphical Representations ◽  
Mathematical Language ◽  
Basic Logic ◽  
Cut Rule ◽  
Structural Rules ◽  
The One ◽  
Categorical Semantics

This chapter describes the categorical proof theory of the cut rule, a very basic component of any sequent-style presentation of a logic, assuming a minimum of structural rules and connectives, in fact, starting with none. It is shown how logical features can be added to this basic logic in a modular fashion, at each stage showing the appropriate corresponding categorical semantics of the proof theory, starting with multicategories, and moving to linearly distributive categories and *-autonomous categories. A key tool is the use of graphical representations of proofs (“proof circuits”) to represent formal derivations in these logics. This is a powerful symbolism, which on the one hand is a formal mathematical language, but crucially, at the same time, has an intuitive graphical representation.

scholarly journals On the equivalence of various definitions of mixed poisson processes

2019 ◽  
Vol 69 (2) ◽  
pp. 453-468
Author(s):  
Demetrios P. Lyberopoulos ◽  
Nikolaos D. Macheras ◽  
Spyridon M. Tzaninis
Keyword(s):  
Probability Distribution ◽  
Poisson Process ◽  
Random Variable ◽  
Poisson Processes ◽  
Counting Processes ◽  
Mixing Parameter ◽  
Mixed Poisson Process ◽  
Probability Spaces ◽  
The One

Abstract Under mild assumptions the equivalence of the mixed Poisson process with mixing parameter a real-valued random variable to the one with mixing probability distribution as well as to the mixed Poisson process in the sense of Huang is obtained, and a characterization of each one of the above mixed Poisson processes in terms of disintegrations is provided. Moreover, some examples of “canonical” probability spaces admitting counting processes satisfying the equivalence of all above statements are given. Finally, it is shown that our assumptions for the characterization of mixed Poisson processes in terms of disintegrations cannot be omitted.

An Approach to Dynamic Fusion of the Knowledge Maps of an Activities Process

2015 ◽  
Vol 7 (4) ◽  
pp. 1-26 ◽  
Author(s):  
Menaouer Brahami ◽  
Baghdad Atmani ◽  
Nada Matta
Keyword(s):  
Graphical Representation ◽  
Knowledge Engineering ◽  
Decision Support Tool ◽  
Knowledge Mapping ◽  
Fusion Algorithm ◽  
Knowledge Maps ◽  
New Approach ◽  
Support Tool ◽  
Mapping Techniques ◽  
The One

The interest of companies for a greater valuation of their information, knowledge and competency is increasing. These companies have a knowledge capital (tacit and explicit) often poorly exploited. These information resources include knowledge and information useful and necessary to the execution of trades' processes and that it will be captured and formalized by using knowledge engineering methods, such as knowledge mapping techniques. In this context, the authors present a new approach to dynamic fusion of knowledge maps for an activities process that builds on the one hand, the graphical representation of the knowledge mapping and the boolean modelling of the graph (MBG). On the other hand, the authors' fusion algorithm of the maps which relies on notions of “index” type which allows determines the type of node of map to merge their fusion algorithm of the maps which relies on notions of “index” type which allows determines the type of node to merge and on notions of the boolean modelling of the knowledge maps. The authors finally implemented this algorithm to obtain experimental results. This result can be used as a decision support tool, whether individual or collective.

scholarly journals REFINEMENTS IN EFFECTIVE POTENTIAL CALCULATIONS IN THE MSSM

2006 ◽  
Vol 21 (40) ◽  
pp. 3009-3020
Author(s):  
M. ARGYROU ◽  
A. KATSIKATSOU ◽  
I. MALAMOS
Keyword(s):  
Effective Potential ◽  
Dominant Role ◽  
Higgs Sector ◽  
Electroweak Symmetry Breaking ◽  
Electroweak Symmetry ◽  
Gauge Dependence ◽  
Precise Calculation ◽  
Mixing Parameter ◽  
The One ◽  
Supersymmetric Theories

The one-loop effective potential is a powerful tool in studying the electroweak symmetry breaking of supersymmetric theories, whose precise calculation may have important phenomenological consequences. In this work, we are correctly treating the contribution of the Higgs sector to the effective potential and refine the radiative corrections to the Higgs mixing parameter μ, which is known to affect greatly the supersymmetric spectrum. Working at the average stop scale to minimize the effect of the stop sector, we find additional corrections which can play a dominant role in the focus point region of the parameter space of the MSSM. The comparison of our results with those of the literature is discussed. We also discuss the gauge dependence of the effective potential and its effect on the μ parameter in analyses where this is determined from the one-loop minimization conditions of the effective potential.

scholarly journals Dark decay channel analysis (n → χ + e+ e−) with the PERKEO II experiment

2019 ◽  
Vol 219 ◽  
pp. 05007
Author(s):  
Michael Klopf ◽  
Erwin Jericha ◽  
Bastian Märkisch ◽  
Heiko Saul ◽  
Torsten Soldner ◽  
...  
Keyword(s):  
Decay Channel ◽  
Branching Fraction ◽  
Percent Level ◽  
Dark Matter Particle ◽  
Mass Range ◽  
Neutron Lifetime ◽  
Percent Contribution ◽  
Channel Analysis ◽  
The One ◽  
Dark Decay

Discrepancies from beam and bottle type experiments measuring the neutron lifetime are on the 4σ level. In recent publications Fornal and Grinstein proposed that the puzzle could be solved if the neutron would decay on the one percent level via a dark decay mode [1], one possible branch being n → χ + e+e−. With data from the Perkeo II experiment we set limits on the branching fraction and exclude a one percent contribution for 96% of the allowed mass range for the dark matter particle. With this publication, we give a detailed description of the experiment and some selected details of the analysis.

scholarly journals The Energy-Line Method in the Mechanics of avalanches

1980 ◽  
Vol 26 (94) ◽  
pp. 501-505 ◽  
Author(s):  
H. J. Körner
Keyword(s):  
Graphical Representation ◽  
Entire Process ◽  
Line Method ◽  
Energy Line ◽  
Avalanche Dynamics ◽  
Average Slope ◽  
The One ◽  
Energy Law

AbstractThe energy-line method results from the graphical representation of the energy law as applied in hydraulics. It makes it easier to understand the entire process of the movement of an avalanche from where it breaks away to where it is deposited. The technique, the energy lines, and the average slope of avalanches, as well as the theoretical energy lines of the one-coefficient and two-coefficient models of avalanche dynamics, are described. The method is explained by means of an example.

scholarly journals Accommodating three low-scale anomalies (g − 2, Lamb shift, and Atomki) in the framed Standard Model

2019 ◽  
Vol 34 (25) ◽  
pp. 1950140 ◽  
Author(s):  
José Bordes ◽  
Hong-Mo Chan ◽  
Sheung Tsun Tsou
Keyword(s):  
Standard Model ◽  
Lamb Shift ◽  
Tree Level ◽  
Hidden Sector ◽  
Dark Photon ◽  
Compound State ◽  
Mixing Parameter ◽  
State Formula ◽  
The One ◽  
Anomaly Formula

The framed Standard Model (FSM) predicts a [Formula: see text] boson with mass around 20 MeV in the “hidden sector,” which mixes at tree level with the standard Higgs [Formula: see text] and hence acquires small couplings to quarks and leptons which can be calculated in the FSM apart from the mixing parameter [Formula: see text]. The exchange of this mixed state [Formula: see text] will contribute to [Formula: see text] and to the Lamb shift. By adjusting [Formula: see text] alone, it is found that the FSM can satisfy all present experimental bounds on the [Formula: see text] and Lamb shift anomalies for [Formula: see text] and [Formula: see text], and for the latter for both hydrogen and deuterium. The FSM predicts also a [Formula: see text] boson in the “hidden sector” with a mass of 17 MeV, that is, right on top of the Atomki anomaly [Formula: see text]. This mixes with the photon at 1-loop level and couples thereby like a dark photon to quarks and leptons. It is however a compound state and is thought likely to possess additional compound couplings to hadrons. By adjusting the mixing parameter and the [Formula: see text]’s compound coupling to nucleons, the FSM can reproduce the production rate of the [Formula: see text] in beryllium decay as well as satisfy all the bounds on [Formula: see text] listed so far in the literature. The above two results are consistent in that the [Formula: see text], being [Formula: see text], does not contribute to the Atomki anomaly if parity and angular momentum are conserved, while [Formula: see text], though contributing to [Formula: see text] and Lamb shift, has smaller couplings than [Formula: see text] and can, at first instance, be neglected there. Thus, despite the tentative nature of the three anomalies in experiment on the one hand and of the FSM as theory on the other, the accommodation of the former in the latter has strengthened the credibility of both. Indeed, if this FSM interpretation were correct, it would change the whole aspect of the anomalies from just curiosities to windows into a vast hitherto hidden sector comprising at least in part the dark matter which makes up the bulk of our universe.

scholarly journals Nonmesonic weak decay dynamics from proton spectra of Λ-hypernuclei

2014 ◽  
Vol 23 (12) ◽  
pp. 1450089 ◽  
Author(s):  
Franjo Krmpotić ◽  
Cláudio De Conti
Keyword(s):  
Decay Channel ◽  
Order Approximation ◽  
Weak Decay ◽  
Experimental Information ◽  
Decay Rates ◽  
Meson Exchange ◽  
Independent Particle ◽  
Structure Framework ◽  
The One ◽  
First Order Approximation

A novel comparison between the data and the theory is proposed for the nonmesonic (NM) weak decay of hypernuclei. Instead of confronting the primary decay rates, as is usually done, we focus our attention on the effective decay rates that are straightforwardly related with the number of emitted particles. Proton kinetic energy spectra of [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] and [Formula: see text], measured by FINUDA, are evaluated theoretically. The independent particle shell model (IPSM) is used as the nuclear structure framework, while the dynamics is described by the one-meson-exchange (OME) potential. Only for the [Formula: see text], [Formula: see text] and [Formula: see text] hypernuclei it is possible to make a comparison with the data, since for the rest there is no published experimental information on number of produced hypernuclei. Considering solely the one-nucleon-induced (1N-NM) decay channel, the theory reproduces correctly the shapes of all three spectra at medium and high energies (Ep ≳ 40 MeV). Yet, it greatly overestimates their magnitudes, as well as the corresponding transition rates when the full OME (π + K + η + ρ + ω + K*) model is used. The agreement is much improved when only the π + K mesons with soft dipole cutoff parameters participate in the decay process. We find that the IPSM is a fair first-order approximation to disentangle the dynamics of the 1N-NM decay, the knowledge of which is indispensable to inquire about the baryon–baryon strangeness–flipping interaction. It is shown that the IPSM provides very useful insights regarding the determination the 2N-NM decay rate. In a new analysis of the FINUDA data, we derive two results for this quantity with one of them close to that obtained previously.

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