Reconstruction of (x, Q2) and extraction of structure functions in neutral current scattering at HERA

In this note we present a novel method of extracting the kinematic variables in neutral current deeply inelastic scattering. It turns out that a determination of x and Q2 using the angles of the electron and current jet only is remarkably powerful. We also work out a method for determining x and Q2 that is insensitive to initial state radiation. Structure functions F2 and xF3 are extracted and the systematic errors are studied. The use of several (x, Q2) reconstruction methods, each with different systematic errors will provide complementarity and redundancy for structure function analysis. (orig.)