York-Peng Yao

O( alpha s) calculation of the decays b-->s+ gamma and b-->s+g.

We present an exact [alpha][sub [ital s]] calculation of the Wilson coefficients associated with the dipole moment operators. We also give an estimate of the branching ratio for [ital b][r arrow][ital s][gamma]. We find that higher dimensional effects are under control within 9% for [ital B]([ital b][r arrow][ital s][gamma])=(4.3[plus minus]0.37)[times]10[sup [minus]4].We present an exact

Minimal length uncertainty relation and the hydrogen spectrum

\alpha_s

Forward–backward asymmetry in B→Xsℓ+ℓ− at the NNLL level

calculation of the Wilson coefficients associated with the dipole moment operators. We also give an estimate of the branching ratio for

Constraints and generalized gauge transformations on tree-level gluon and graviton amplitudes

b\rightarrow s \gamma

Massive two-loop integrals in renormalizable theories

. We find that higher dimensional effects are under control within

QCD recursion relations from the largest time equation

9\%

Evaluation of the Cachazo-He-Yuan gauge amplitude

for

Exact

BR(b\rightarrow s \gamma)=(4.3\pm 0.37 )\times 10^{-4}

\alpha _s

.

Calculation of

Modifications of Heisenbergs uncertainty relation have been proposed in the literature which imply a minimum position uncertainty. We study the low energy effects of the new physics responsible for this by examining the consequent change in the quantum mechanical commutation relations involving position and momenta. In particular, the modifications to the spectrum of the hydrogen atom can be naturally interpreted as a varying (with energy) fine structure constant. From the data on the energy levels we attempt to constrain the scale of the new physics and find that it must be close to or larger than the weak scale. Experiments in the near future are expected to change this bound by at least an additional order of magnitude.