Transverse Λ polarization in e + e - collisions
In this paper we study transverse polarization of hyperons in single-inclusive leptonic annihilation. We show that when the transverse momentum of the baryon is measured with respect to the thrust axis, a transverse momentum dependent (TMD) factorization formalism is required and the polarization is generated by the TMD polarizing fragmentation function (TMD PFF), D 1 T ⊥ . However, when the transverse momentum of the baryon is measured with respect to the momentum of the initial leptons, a collinear twist-3 formalism is required and the polarization is generated by the intrinsic collinear twist-3 fragmentation function D T . Thus while these measurements differ from one another only by a change in the measurement axis, they probe different distribution functions. Recently, Belle measured a significant polarization in single-inclusive baryon production as a function of the transverse momentum with respect to the thrust axis. However, this data can in principle be re-analyzed to measure the polarization as a function of the transverse momentum of the baryon with respect to the lepton pair. This observable could be the first significant probe of the function, D T . In this paper, we first develop a TMD formalism for polarization; we then present a recent twist-3 formalism that was established to describe polarization. Using the TMD formalism, we demonstrate that the polarization at OPAL and Belle can be described using the twist-2 TMD factorization formalism. Finally, we make a theoretical prediction for this polarization in the collinear twist-3 formalism at Belle.