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

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

1994-12-06

arxiv.org/abs/hep-ex/9412004v1

Nucl.Instrum.Meth. A361 (1995) 197-208

Physics

High Energy Physics

High Energy Physics - Experiment

18 pages, latex, 5 uuencoded figures

Scientific paper

10.1016/0168-9002(95)00173-5

We review and compare the reconstruction methods of the inclusive deep inelastic scattering variables used at HERA. We introduce a new prescription, the $\Sigma$ method, which allows to measure the structure function of the proton $F_2(x,Q^2)$ in a large kinematic domain, and in particular in the low x-low$Q^2$ region, with small systematic errors and small radiative corrections. A detailed comparison between the $\Sigma$ method and the other methods is shown. Extensions of the $\Sigma$ method are presented. The effect of QED radiation on the kinematic reconstruction and on the structure function measurement is discussed.

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