Bessel-weighted asymmetries in semi-inclusive deep inelastic scattering

  • D. Boer
  • L. Gamberg
  • B. U. Musch
  • A. Prokudin
Open Access


The concept of weighted asymmetries is revisited for semi-inclusive deep inelastic scattering. We consider the cross section in Fourier space, conjugate to the outgoing hadron’s transverse momentum, where convolutions of transverse momentum dependent parton distribution functions and fragmentation functions become simple products. Individual asymmetric terms in the cross section can be projected out by means of a generalized set of weights involving Bessel functions. Advantages of employing these Bessel weights are that they suppress (divergent) contributions from high transverse momentum and that soft factors cancel in (Bessel-)weighted asymmetries. Also, the resulting compact expressions immediately connect to previous work on evolution equations for transverse momentum dependent parton distribution and fragmentation functions and to quantities accessible in lattice QCD. Bessel-weighted asymmetries are thus model independent observables that augment the description and our understanding of correlations of spin and momentum in nucleon structure.


Deep Inelastic Scattering QCD Parton Model 


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Copyright information

© SISSA, Trieste, Italy 2011

Authors and Affiliations

  • D. Boer
    • 1
  • L. Gamberg
    • 2
  • B. U. Musch
    • 3
  • A. Prokudin
    • 3
  1. 1.Theory group, KVIUniversity of GroningenGroningenThe Netherlands
  2. 2.Division of SciencePenn State University-BerksReadingU.S.A.
  3. 3.Jefferson LabNewport NewsU.S.A.

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