Fidelity approach to quantum phase transitions: finite size scaling for quantum Ising model in a transverse field

We analyze the scaling parameter, extracted from the fidelity for two different ground states, for the one-dimensional quantum Ising model in a transverse field near the critical point. It is found that, in the thermodynamic limit, the scaling parameter is singular, and the derivative of its logarithmic function with respect to the transverse field strength is logarithmically divergent at the critical point. The scaling behavior is confirmed numerically by performing a finite size scaling analysis for systems of different sizes, consistent with the conformal invariance at the critical point. This allows us to extract the correlation length critical exponent, which turns out to be universal in the sense that the correlation length critical exponent does not depend on either the anisotropic parameter or the transverse field strength.Comment: 5 pages, 5 figure

The Non-perturbative Effect on R=σL/σTR=\sigma_L /\sigma_T from QCD Vacuum

We investigate the non-perturbative effects on the ratio $R=\sigma_L /\sigma_T$ in lepton-nucleon deep inelastic scattering by taking into account the lowest dimensional condensate contributions from the QCD vacuum. By combining conventional perturbative QCD corrections and the Georgi- Politzer target-mass effects with the non-perturbative effects from the QCD vacuum, we give a good description of the $Q^2$ and $x$ dependences of $R$ in comparison with the recent experimental data.Comment: 13 pages, LaTeX, 2 eps figures, To appear in Phys. Lett.

Soft Gluon Resummation Effects in Single Slepton Production at Hadron Colliders

We investigate QCD effects in the production of a single slepton at hadron colliders in the Minimal Supersymmetric Standard Model without R-parity. We calculate the total cross sections and the transverse momentum distributions at next-to-leading order in QCD. The NLO corrections enhance the total cross sections and decrease the dependence of the total cross sections on the factorization and renormalization scales. For the differential cross sections, we resum all order soft gluon effects to give reliable predictions for the transverse momentum distributions. We also compare two approaches to the non-perturbative parametrization and found that the results are slightly different at the Tevatron and are in good agreement at the LHC. Our results can be useful to the simulation of the events and to the future collider experiments.Comment: 26 pages, 12 figures, RevTeX4; Minor changes; Version to appear in PR

Next-to-leading order QCD predictions for pair production of neutral Higgs bosons at the CERN Large Hadron Collider

We present the calculations of the complete NLO inclusive total cross sections for pair production of neutral Higgs bosons through $b\bar b$ annihilation in the minimal supersymmetric standard model at the CERN Large Hadron Collider. In our calculations, we used both the DREG scheme and the DRED scheme and found that the NLO total cross sections in the above two schemes are the same. Our results show that the $b\bar b$-annihilation contributions can exceed ones of $gg$ fusion and $q\bar q$ annihilation for $h^0H^0$, $A^0h^0$ and $A^0H^0$ productions when $\tan\beta$ is large. In the case of $\mu>0$, the NLO corrections enhance the LO total cross sections significantly, which can reach a few tens percent, while for $\mu<0$, the corrections are relatively small, and are negative in most parameter space. Moreover, the NLO QCD corrections can reduce the dependence of the total cross sections on the renormalization/factorization scale, especially for $\mu<0$. We also use the CTEQ6.1 PDF sets to estimate the uncertainty of LO and NLO total cross sections, and find that the uncertainty arising from the choice of PDFs increases with the increasing $m_{A^0}$.Comment: 43 pages, 16 figures, minor changes, some references added, a version to appear in PR