On soft gluon effects in deep-inelastic structure functions

Details On soft gluon effects in deep-inelastic structure functions On soft gluon effects in deep-inelastic structure functions

1999-10-29

arxiv.org/abs/hep-ph/9910545v2

Phys.Lett. B471 (1999) 97-102

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 3 figures, misprints in third line of eq. (15) corrected

Scientific paper

10.1016/S0370-2693(99)01325-8

The behaviour of the quark coefficient functions in deep-inelastic scattering is investigated for large values of the Bjorken variable x. By combining results of soft-gluon resummation and fixed-order calculations, we determine the coefficients of the four leading large-x logarithms, alpha_s^k [{ln(1-x)}^{2k-l}/(1-x)]_+, l = 1, ...4, to all orders in the strong coupling constant alpha_s. This result includes two more terms for the three-loop coefficient functions than previously specified in the literature. The effect of the fifth logarithmic contribution is approximately evaluated. The terms derived here are required, but also seem to be sufficient, for a reliable representation of the coefficient functions at large x.

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