Abstract Mixing rates, relaxation and decay of correlations for dynamics defined by potentials with summable variations are well understood, but little is known non-summable variations. This paper exhibits upper bounds these quantities square-summable We obtain as corollaries a new block coupling inequality between pairs starting different histories. As applications our results, we prove weak i...

We propose a flavour structure for the leptonic sector of the Standard Model, based on the idea of universality of Yukawa couplings, which accommodates all the experimental data on neutrino masses and mixing, at the same time predicting specific correlations between low energy measurable quantities, such as the ratio of neutrino squared mass differences, |U13|, the leptonic Dirac phase, and the...

The use of microprobes to manipulate, concentrate, and sample aqueous droplets within an oil phase on a blank substrate is explored. In particular, this paper introduces a number of thermal-based techniques which make use of a point heat source to perform high speed mixing of droplets at speeds up to 300 rpm, collection and merging of droplets, concentration of suspended particles through contr...

The most general Two Higgs Doublet Model (2HDM) allows both for the explicit and the spontaneous CP violation in the scalar sector. Here we discuss CP violation in terms of basisindependent quantities and show how using two different sets of known CP-odd weak-basis invariants one can distinguish between CP conservation, explicit CP violation and spontaneous CP violation. The special case of CP ...

Bd and Bs meson systems play a fundamental role to test and improve our understanding of Standard Model flavor dynamics. The mixing parameters ∆md,s represent important constraints in the unitarity triangle analysis. Their theoretical estimates require non-perturbative calculations of B-meson decay constants and B-parameters; accurate results, recently obtained from the lattice, are reviewed. O...

We show that the CP-violating phases β and β ′ can respectively be determined from the time-dependent measurements of B d → D * ± D ∓ and B s → D * ± s D ∓ s decays, whose final states are non-CP eigenstates. The penguin contributions to the mixing-induced interference quantities are expected to be about 4% or smaller. We also point out two observables of O(1), which are pure functions of decay...

We consider irreducible Markov chains on a finite state space. We show that the mixing time of any such chain is equivalent to the maximum, over initial states x and moving large sets (As)s, of the hitting time of (As)s starting from x. We prove that in the case of the d-dimensional torus the maximum hitting time of moving targets is equal to the maximum hitting time of stationary targets. Neve...

Precision measurements in the neutrino sector are becoming increasingly feasible due to the development of relatively high-rate experimental capabilities. These important developments command renewed attention to the systematic corrections needed to interpret the data. Hadronic multi-particle final state measurements made using CLAS at Jefferson Lab, together with a broad theoretical effort tha...