We discuss the supersymmetric contribution to ε ′ /ε in various supersymmetric flavor models. We find that in alignment models the supersymmetric contribution could be significant while in heavy squark models it is expected to be small. The situation is particularly interesting in models that solve the flavor problems by either of the above mechanisms and the remaining CP problems by means of a...

In (5), GF is the Fermi coupling, the functions zi(μ) and yi(μ) are the Wilson coefficients and τ = −VtdV ∗ ts/VudV ∗ us. According to the standard parameterization of the CKM matrix, in order to determine ε/ε , we only need to consider the yi(μ) components, which control the CP -violating part of the lagrangian. The coefficients yi(μ), and zi(μ) contain all the dependence of short-distance phy...

Consider a large mixed integer linear problem where structure of the constraint matrix is sparse, with independent blocks, and coupling constraints and variables. There is one of the groups of constraints to make difficult the application of Benders scheme decomposition. In this work, we propose the following algorithm; a Lagrangian relaxation is made on the mentioned set of constraints; we pre...

We study homogenization by Γ-convergence of functionals of type Z Ω W “ x ε ,∇φ(x) ” dx, where Ω ⊂ RN is a bounded open set, φ ∈ W 1,p(Ω; Rm) and p > 1, when the 1-periodic integrand W : RN ×Mm×N → [0, +∞] is not of p-polynomial growth. Our homogenization technique can be applied when m = N and W has a singular behavior of type W (x, ξ) → +∞ as detξ → 0. However, our technique is not consistent...

Traditional rejection/reduction tests used in branch-and-prune methods for nonlinear systems usually are based on various forms of the interval Newton operator and constraint propagation techniques. Hence, they are relatively costly. This paper considers an additional phase of a branchand-prune method for the exclusion of regions not containing any solutions. Low-discrepancy sequences of Sobol ...

The gravitational field produced by a domain wall acts as a medium with spacetime-dependent permittivity ε. Therefore, the fine structure constant α = e 2 /4πε will be a time-dependent function at fixed position. The most stringent constraint on the time-variation of α comes from the natural reactor Oklo and gives | ˙ α/α| < f ew × 10 −17 yr −1. This limit constrains the tension of a cosmic dom...

Approximate optimality conditions for a class of nonconvex semi-infinite programs involving support functions are given. The objective function and the constraint functions are locally Lipschitz functions on n . By using a Karush-Kuhn-Tucker KKT condition, we deduce a necessary optimality condition for local approximate solutions. Then, generalized KKT conditions for the problems are proposed. ...

PROOF: Let {wt , bt}∞t=0 denote the set of contracts in the optimal hybrid equilibrium, and let et denote the effort implemented at t (note that {wt , bt} is offered and accepted provided that the principal has not defaulted at any τ < t). Obviously, u0 = ū 1−δ must hold, otherwise w0 can be reduced by a small amount and make both types better off. Next, suppose towards a contradiction that ut+...

We provide a complete characterization for the computational complexity of finding approximate equilibria in two-action graphical games. consider two most well-studied approximation notions: ε-Nash (ε-NE) and ε-well-supported Nash (ε-WSNE), where ε is [0,1]. prove that computing an ε-NE PPAD-complete any constant smaller than 1/2, while very simple algorithm (namely, letting all players mix uni...