Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2011-07-26
JHEP 10 (2011) 021
Physics
High Energy Physics
High Energy Physics - Phenomenology
Matches published version, JHEP style, 36 pages and 2 figures, minor corrections
Scientific paper
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.
Boer Daniel
Gamberg Leonard
Musch Bernhard
Prokudin Alexei
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