We present a new analysis of A N in p ↑ p → π X within the collinear twist-3 factorization formalism. We incorporate recently derived Lorentz invariance relations into our calculation and focus on input from the kinematical twist-3 functions, which are weighted integrals of transverse momentum dependent (TMD) functions. In particular, we use the latest extractions of the Sivers and Collins functions with TMD evolution to compute certain terms in A N . Consequently, we are able to constrain the remaining contributions from the lesser known dynamical twist-3 correlators. (Daniel Pitonyak), prokudin@jlab.org (Alexei Prokudin) 1 One could also have C transversely polarized instead of A.2 Studies of the contribution to A N from the convolution of the transversity and Collins TMD functions in the framework of the so-called Generalized Parton Model are presented in Ref. [58]. 3 The dynamical FFs are complex, and we indicate their real and imaginary parts by and superscripts, respectively. 4 Of course there are still uncertainties in these TMD inputs because they are not well-constrained in the forward x F region where A N is large. 5 Note from our discussion before that we can never write the entire cross section only in terms of kinematical functions.