B->h+h'- modes at CDF

We review CDF results and prospects on decays of B hadrons in two charged charmless hadrons.Comment: Proceedings of the 4th International Workshop on the CKM Unitarity Triangle (CKM 2006) 12-16 Dec. 2006, Nagoya, Japan.(4 pages, 2 figures

Endomorphisms of B(H)

The unital endomorphisms of B(H) of (Powers) index n are classified by certain U(n)-orbits in the set of non-degenerate representations of the Cuntz algebra O_n on H. Using this, the corre- sponding conjugacy classes are identified, and a set of labels is given. This set is given as P modulo a certain non-smooth equivalence, where P is a set of pure state on the UHF algebra of Glimm type n^infinity. Several subsets of P, giving concrete examples of non- conjugate shifts, are worked out in detail, including sets of product states, and a set of nearest neighbor states.Comment: 46 pages, amste

Searches for ttˉHt\bar{t}H and tHtH with H→bbˉH\to b\bar b

The associated production of a Higgs boson with a top quark-antiquark pair ($\text{t}\bar{\text{t}}\text{H}$ production) or with a single top quark ($\text{tH}$ production) allows a direct measurement of the top-Higgs-Yukawa coupling with minimal model dependence. In this article, recent results of searches for $\text{t}\bar{\text{t}}\text{H}$ and $\text{tH}$ production in the $\text{H}\rightarrow\text{b}\bar{\text{b}}$ channel performed by the ATLAS and CMS experiments are reviewed. The analyses use pp collision data collected at a centre-of-mass energy of 13$\,$TeV corresponding to an integrated luminosity of up to 13.2$\,$fb${}^{-1}$.Comment: TOP2016 conferenc

Branching fractions and CP asymmetries in B --> h+ h'-

Relative branching fractions of Bd,Bs --> h+ h'- decays (where h,h'= K or pi) and direct CP asymmetry in Bd --> K+ pi- have been measured with 180 pb-1 of data collected by the CDFII detector at the Tevatron collider. This includes the first BR measurement of a charmless Bs-->PP decay (Bs --> K+K-).Comment: To appear in the proceedings of 32nd International Conference on High-Energy Physics (ICHEP 04), Beijing, China, 16-22 Aug 2004. 5 pages, 2 figures, minor typo fi

Sample Path Properties of Bifractional Brownian Motion

Let $B^{H, K}= \big\{B^{H, K}(t), t \in \R_+ \big\}$ be a bifractional Brownian motion in $\R^d$. We prove that $B^{H, K}$ is strongly locally nondeterministic. Applying this property and a stochastic integral representation of $B^{H, K}$, we establish Chung's law of the iterated logarithm for $B^{H, K}$, as well as sharp H\"older conditions and tail probability estimates for the local times of $B^{H, K}$. We also consider the existence and the regularity of the local times of multiparameter bifractional Brownian motion $B^{\bar{H}, \bar{K}}= \big\{B^{\bar{H}, \bar{K}}(t), t \in \R^N_+ \big\}$ in $\R^d$ using Wiener-It\^o chaos expansion