Riesz transform characterization of weighted Hardy spaces associated to Schr\"{o}dinger operators

In this paper, we characterize the weighted local Hardy spaces $h^p_\rho(\omega)$ related to the critical radius function $\rho$ and weights $\omega\in A_{1}^{\rho,\,\infty}(\mathbb{R}^{n})$ by localized Riesz transforms $\widehat{R}_j$, in addition, we give a characterization of weighted Hardy spaces $H^{1}_{\cal L}(\omega)$ via Riesz tranforms associated to Schr\"{o}dinger operator $\cal L$, where \L=-\Delta+V is a Schr\"{o}dinger operator on $\mathbb{R}^{n}$ ($n\ge 3$) and $V$ is a nonnegative function satisfying the reverse H\"older inequality.Comment: arXiv admin note: substantial text overlap with arXiv:1403.7641; and text overlap with arXiv:1107.3266, arXiv:1109.0099 by other author

Possible Enhanced Flux of Glassy Solid Helium in Cylindrical Corrugated Nanopores

By using the glassy (helium-)fluid model and boundary perturbation method, we can obtain the velocity fields (as well as the flow rate; up to the second order) inside the wavy-rough cylindrical nanopores which are of the same size as those samples prepared by Kim and Chan as well as Day {\it et al.} Our results show that the velocities measured in porous Vycor samples could be reproduced by carefully selecting relevant parameters but those in glass capillaries are difficult to obtain.Comment: 2 figure

W−→τνˉτW^- \to \tau \bar \nu_\tau 3-sigma anomaly in new physics beyond the standard model

Among so-called three 3-sigma anomalies in high energy physics, the excess of the branching ratio $W^- \to \tau \bar \nu_\tau$ with respect to the electrons and muons is especially interesting because (1) in the standard model (SM), $W^-\ell\bar \nu_\ell$ is the pure left-handed charge-current which has been tested precisely already, at least for the first two generation fermions, and (2) the $W^\pm$ two-body leptonic decay is the cleanest one among three anomalies due to its simpler kinematics and less hadronic uncertainties. In this paper, we explore the possibilities to account for the anomaly in type II two-Higgs-doublet model (2HDM) and minimal supersymmetric model (MSSM), as well as effective lagrangian approach by introducing anomalous left- and right-handed $W^-\tau \bar\nu_\tau$ couplings. Our results show that 2HDM and MSSM can hardly accommodate $W^- \to \tau \nu_\tau$ anomaly, and the anomaly is only marginally consistent to the measurements of $\tau \to \nu_\tau \ell \bar \nu_\ell$ at 95% confidence level with the presence of anomalous couplings. In the allowed regions, the right-handed coupling of $W^-\tau \nu_\tau$ shifts from 0 in SM to $\sim 0.12$ while the left-handed one from 1 to $\sim 1.005$.Comment: 9 page

Transport Control of Eyring-Fluids along a Transversely-Corrugated Nanoannulus

The volume flow rates of Eyring-fluids inside the wavy-rough nanoannulus were obtained analytically (up to the second order) by using the verified model and boundary perturbation method. Our results show that the wavy-roughness could enhance the flow rate especially for smaller forcing due to the larger surface-to-volume ratio and slip-velocity effect. Meanwhile, the phase shift between the outer and inner walls of nanoannuli could tune the transport of Eyring-fluids either forward or backward when the wavy-roughness of a nanoannulus is larger enough. Our results could be applied to the flow control in nanofluidics as well as biofluidics.Comment: 2 Figure

Complete next-to-leading order QCD corrections to charged Higgs boson associated production with top quark at the CERN Large Hadron Collider

The complete next-to-leading order (NLO) QCD corrections to charged Higgs boson associated production with top quark through $b g \to tH^{-}$ at the CERN Large Hadron Collider are calculated in the minimal supersymmetric standard model (MSSM) and two-Higgs-doublet model in the $\bar{MS}$ scheme. The NLO QCD corrections can reduce the scale dependence of the leading order (LO) cross section. The K-factor (defined as the ratio of the NLO cross section to the LO one) does not depend on $\tan\beta$ if the same quark running masses are used in the NLO and LO cross sections, and varies roughly from $\sim 1.6$ to $\sim 1.8$ when charged Higgs boson mass increases from 200 GeV to 1000 GeV.Comment: 31 pages, discussions, figs and refs added, conclusion unchanged, final PRD versio

On the calculation of soft phase space integral

The recent discovery of the Higgs boson at the LHC attracts much attention to the precise calculation of its production cross section in quantum chromodynamics. In this work, we discuss the calculation of soft triple-emission phase space integral, which is an essential ingredient in the recently calculated soft-virtual corrections to Higgs boson production at next-to-next-to-next-to-leading order. The main techniques used this calculation are method of differential equation for Feynman integral, and integration of harmonic polylogarithms.Comment: 20 pages, 1 figur

Dark Matter Signature from the Sky and at Colliders

In this talk, we briefly review our recent investigations on the properties of dark matter (DM) particle.Comment: 4 pages, talk at ICHEP201

Supersymmetric QCD corrections to lightest Higgs boson associated production with top quark pair at Linear Colliders

Supersymmetric (SUSY) QCD corrections to the lightest neutral Higgs boson associated production with top quark pair are studied in the minimal supersymmetric standard model (MSSM) at Linear colliders. Our calculations show that the SUSY QCD effects generally are very moderate (say 10%) and under control, except for some rescattering effects which lead to a breakdown of perturbation theory and require a more detailed study. In the vicinity of the production threshold for the favorable model parameters under the framework of the on-shell renormalization scheme, SUSY QCD can be as large as about -50%. Such effects might be acted as the probe to determine the sign of $M_{LR}\equiv A_t-\mu/\tan\beta$.Comment: 14 pages, 3 fig

Features of the Acoustic Mechanism of Core-Collapse Supernova Explosions : Revisited using the Kinetic Approach

The discrete kinetic model is used to study the propagation of sound waves in system of hard-disk-like rotating stars (or vortex gases). The anomalous (negative) attenuation or amplification which is possibly due to the binary collision of a dilute-enough rotating disk (or vortex-gas) system (each with opposite-sign rotating direction or angular momenta but the total (net) angular momenta or vorticity is zero) or microreversibility might arise from the implicit balance of the angular momentum during encounter and give clues to the understanding of possible acceleration of cosmic rays passing through this kind of channel and direct or inverse vortex-gas cascades in two-dimensional turbulence of astrophysical problems

A New Paradigm: Role of Electron-positron and Hadron Colliders

In 2012, a light scalar boson (denoted as H(125) in this paper) was discovered at the LHC. We explore the possible correlation between the lightness of H(125) and the smallness of CP-violation based on the Lee model, namely the spontaneous CP-violation two-Higgs-doublet-model. It is a new way to understand why H(125) is light. Based on this we propose that it is the much heavier scalar bosons, instead of the H(125), which need to be understood. This opens a new paradigm that one tries to understand the electro-weak symmetry breaking and CP violation. For the new paradigm, similar to many other physics beyond the standard model, one need both electron-positron and higher energy hadron collider, as well as the low energy experiments, in order to pin down the whole picture.Comment: Invited talk at HF2014, 5 page