We discuss the axioms for vertex algebras and their modules, using formal calculus. Following certain standard treatments, we take the Jacobi identity as our main axiom and we recall weak commutativity and weak associativity. We derive a third, companion property that we call “weak skew-associativity.” This third property in some sense completes an S3-symmetry of the axioms, which is related to...

Radiative decays of B-mesons, such as B → Kγ or B → ργ provide important tests of the Standard Model and of new physics scenarios. However, besides the dominant pointlike b → sγ or b → dγ transitions generated by loops of heavy particles, there are ordinary weak decay mechanisms. In particular the decay B → ργ can proceed via the usual four-Fermi weak transition accompanied by a photon radiated...

Given a finite point set P ⊂ R, we call a multiset A a one-sided weak ε-approximant for P (with respect to convex sets), if |P ∩ C|/|P | − |A ∩C|/|A| ≤ ε for every convex set C. We show that, in contrast with the usual (two-sided) weak ε-approximants, for every set P ⊂ R there exists a one-sided weak ε-approximant of size bounded by a function of ε and d.

In this paper we introduce the notion of the fractional weak discrepancy of a poset, building on previous work on weak discrepancy in [5, 8, 9]. The fractional weak discrepancy wdF (P ) of a poset P = (V,≺) is the minimum nonnegative k for which there exists a function f : V → R satisfying (1) if a ≺ b then f(a) + 1 ≤ f(b) and (2) if a ‖ b then |f(a)− f(b)| ≤ k. We formulate the fractional weak...

Experiments over three decades have been unable to demonstrate weak nonlocality in the sense of Bell unambiguously, without loopholes. The last important loophole remaining is the detection loophole, which is being tackled by at least three experimental groups. This letter counters five common beliefs about Bell experiments, shows the importance of these experiments, and presents alternative sc...

The transition of sphaleron processes from non-equilibrium to thermal equilibrium in the early Universe is examined in detail. The relations between the damping rates and frequencies of the weak and QCD sphaleron degeneracy parameters are determined in general form and the respective relaxation temperatures are calculated in specific scenarios. It is pointed out that the gauge coupling constant...

We provide a mini-guide to some of the possible manifestations of weak scale supersymmetry. For each of six scenarios we provide • a brief description of the theoretical underpinnings, • the adjustable parameters, • a qualitative description of the associated phenomenology at future colliders, • comments on how to simulate each scenario with existing event generators.

We provide a mini-guide to some of the possible manifestations of weak-scale supersymmetry. For each of six scenarios we provide • a brief description of the theoretical underpinnings, • the adjustable parameters, • a qualitative description of the associated phenomenology at future colliders, • comments on how to simulate each scenario with existing event generators.

the first step in policy making is describing the objectives and choosing the policy instruments and management strategies and then, analyzing and assessing the impacts of them. in this study, farmers’ responses to selected policy instruments and management strategies were assessed using a semi-distributed planning model in qazvin irrigation and drainage network. the proposed model, simulates t...

Statistically underpowered studies can result in experimental failure even when all other experimental considerations have been addressed impeccably. In fMRI the combination of a large number of dependent variables, a relatively small number of observations (subjects), and a need to correct for multiple comparisons can decrease statistical power dramatically. This problem has been clearly addre...