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Generalized threshold resummation in inclusive DIS and semi-inclusive electron-positron annihilation

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Regular Article - Theoretical Physics
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Abstract

We present analytic all-order results for the highest three threshold logarithms of the space-like and time-like off-diagonal splitting functions and the corresponding coefficient functions for inclusive deep-inelastic scattering (DIS) and semi-inclusive e + e − annihilation. All these results, obtained through an order-by-order analysis of the structure of the corresponding unfactorized quantities in dimensional regularization, can be expressed in terms of the Bernoulli functions introduced by one of us and leading-logarithmic soft-gluon exponentials. The resulting numerical corrections are small for the splitting functions but large for the coefficient functions. In both cases more terms in the threshold expansion need to be determined in order to arrive at quantitatively reliable results.

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Resummation Perturbative QCD 
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© The Author(s) 2016

Authors and Affiliations

  1. 1.Deutsches Elektronensynchrotron DESYZeuthenGermany
  2. 2.Department of PhysicsUniversity of ZürichZürichSwitzerland
  3. 3.Department of Mathematical SciencesUniversity of LiverpoolLiverpoolU.K.

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