EPJ

2023 Impact factor 4.2
EPJ C - Particles and Fields
Particles and Fields
Eur. Phys. J. C 6, 121-131
DOI 10.1007/s1005298000906

A study of the polarized structure function $g_{1}^{\rm p}(x,Q^{2})$
and the polarized gluon distribution $\Delta g(x,Q^{2})$at HERA

A. De Roeck1,2 - A. Deshpande3 - V.W. Hughes3 - J. Lichtenstadt4 - G. Rädel2

1 Deutsches Elektronen-Synchroton DESY, Notkestr. 85, 22603 Hamburg, Germany
2 CERN, Div. PPE, 1211 Genève 23, Switzerland
3 Department of Physics, Yale University, New Haven, CT 06520, USA
4 School of Physics and Astronomy, The Raymond and Beverly Sackler Faculty of Exact Sciences, Tel Aviv University,
Tel Aviv 69978, Israel

Received: 22 January 1998 / Revised version: 14 April 1998 / Published online: 26 August 1998

Abstract
We present estimates of possible data on spin-dependent asymmetries in inclusive scattering of high energy polarized electrons by high energy polarized protons at HERA with their statistical errors and discuss systematic errors. We show that these data will provide important information on the low-x behavior of the polarized structure function g1, and will reduce the uncertainty in the determination of the first moment of the polarized gluon distribution $\Delta g(x,Q^{2})$ obtained from the QCD analysis of g1 in NLO. Furthermore, using asymmetries for di-jet events from a polarized HERA would substantially reduce the uncertainty in the shape of $\Delta g(x,Q^{2})$. Use of the information on $\Delta g(x,Q^{2})$ from the di-jet analysis in conjunction with the NLO QCD analysis of g1 will provide an accurate determination of $\Delta g(x,Q^{2})$ and its first moment.

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