On the Kinematic Reconstruction of Deep Inelastic Scattering at HERA: the $Σ$ Method

Ursula Bassler; Gregorio Bernardi

Paper

On the Kinematic Reconstruction of Deep Inelastic Scattering at HERA: the $Σ$ Method

Abstract

We review and compare the reconstruction methods of the inclusive deep inelastic scattering variables used at HERA. We introduce a new prescription, the

method, which allows to measure the structure function of the proton

in a large kinematic domain, and in particular in the low x-low

region, with small systematic errors and small radiative corrections. A detailed comparison between the

method and the other methods is shown. Extensions of the

method are presented. The effect of QED radiation on the kinematic reconstruction and on the structure function measurement is discussed.