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On soft gluon effects in deep-inelastic structure functions

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arxiv hep-ph/9910545 v2 pith:LKA3QHZ2 submitted 1999-10-29 hep-ph

classification hep-ph
keywords functionscoefficientalphadeep-inelasticlargetermsapproximatelybehaviour
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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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Cited by 2 Pith papers

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    A threshold factorization and resummation scheme for quasi-GPD matching in LaMET is derived and shown to be self-consistent on a GPD model.

  2. Threshold Resummation for Semi-Inclusive Single-Hadron Production with Effective Field Theory

    hep-ph 2024-11 accept novelty 6.0 of 10

    Momentum-space SCET threshold resummation for SIA is extended to N4LL for quark and gluon channels, with new large-x coefficients through N3LO and partial N4LO.

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