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QCD JETS AT HERA I.: O(α s ) RADIATIVE CORRECTIONS TO ELECTROWEAK CROSS SECTIONS AND JET RATES

1989; World Scientific; Volume: 04; Issue: 07 Linguagem: Inglês

10.1142/s0217751x89000728

1793-656X

JÜRGEN G. KÖRNER, E. Mirkes, G. Schüler,

Computational Physics and Python Applications

We present the complete O(α s ) corrections to the electroweak cross sections of both neutral current and charged current deep inelastic e ± p scattering including lepton polarization effects. Changes in the cross section due to the inclusion of next-to-leading-log (NLL) effects are parametrized by K factors, which are defined as the ratio of the NLL O(α s ) cross sections and the Born cross section. Using the standard redefinition scheme of the parton densities, we find that the K factors deviate substantially from unity for small values of the Bjorken-Scaling variable x. We also elaborate on problems that arise when defining jet cross sections in ep scattering and present numerical results for the O(α s ) 3-jet and 2-jet rates. We observe that the Q 2 -dependence of the 3-jet rate is dominated by the running strong coupling constant α s (Q 2 ) allowing for its determination over a wide range in Q 2 at high energy ep colliders.