  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.
