Alpha_s: from DIS to LEP

The strong coupling alpha_s is a fundamental parameter of the Standard Model. In comparison to parameters like alpha_em and M_Z it is relatively poorly known. However the precision of alpha_s measurements has improved dramatically in recent years. More than twenty different types of process, from lattice QCD studies to the highest energy colliders, can be used to measure alpha_s accurately. The most precise determinations now quote uncertainties in alpha_s(M_Z) of less than 5%. There is also a remarkable consistency between the various measurements. The present review provides an update on alpha_s measurements from the past year.Comment: 12 pages LaTeX and 4 encapsulated postscript figures, using epsfig and (modified) l-school macros. Based on a talk presented at the conference on New Non-Perturbative Methods and Quantisation on the Light Cone, Les Houches, March 199

BFKL Physics in Jet Production at e+e- colliders

Virtual photon scattering in $e^+e^-$ collisions can result in events with the electron-positron pair at large rapidity separation with hadronic activity in between. The BFKL equation resums large logarithms that dominate the cross section for this process. We report here on a Monte Carlo method for solving the BFKL equation that allows kinematic constraints to be taken into account and show results for $e^+e^-$ collisions.Comment: 3 pages, Latex, talk presented at the 2000 Meeting of the Division of Particles and Fields of the APS, Columbus, OH, August 9--12, 200

Progress Towards a Generator for BFKL Physics

In certain regions of phase space in jet production, large logarithms can arise which are resummed by the BFKL equation. Linear colliders can potentially be excellent places to study BFKL effects in jet production. We discuss an approach to BFKL calculations which incorporates kinematic effects explicitly and can be implemented in an event generator.Comment: 4 pages including 2 figures, Latex, uses epsfig, aipproc.sty; talk presented at Linear Collider Workshop 2000, Fermilab, Batavia, IL, Oct. 24--28, 200