  We present a new proposal to study the helicity-dependent dihadron
fragmentation functions (DiFF), which describe the correlations of the
longitudinal polarization of a fragmenting quark with the transverse momenta of
the produced hadron pair. Recent experimental searches for this DiFF via
azimuthal asymmetries in back-to-back hadron pair production in $e^+e^-$
annihilation by the ${\tt BELLE}$ Collaboration did not yield a signal. Here we
propose a new way to access this DiFF in $e^+e^-$ annihilation, motivated by
the recently recalculated cross section of this reaction, which explains why
there was in fact no signal for the ${\tt BELLE}$ Collaboration to see. In this
new approach the azimuthal asymmetry is weighted by the virtual photon's
transverse momentum square multiplying sine and cosine functions of difference
of azimuthal angles of relative and total momentum for each pair. The
integration over the virtual photon's transverse momentum has the effect of
separating the convolution between the helicity-dependent DiFFs in the quark
and antiquark jets and results in a nonzero collinear expression containing
Fourier moments of helicity-dependent DiFFs. A second new measurement is also
proposed for two-hadron production in semi-inclusive deep inelastic scattering,
where the asymmetry is weighted in a similar way for a single pair. This
results in a collinear factorized form of the asymmetry, which includes the
quark helicity parton distribution function and the same helicity-dependent
DiFF as in $e^+e^-$ production and will allow us to check the universality of
this DiFF.

High Energy Physics - Phenomenology;High Energy Physics - Experiment;Nuclear Theory