Transvers Quark Spin Effects in Hard Processes

The connection between quark orbital angular momentum and final state interaction for transversely polarized quarks in unpolarized hadrons suggests significant $\cos 2\phi$ azimuthal asymmetries in semi-inclusive deep inelastic scattering (SIDIS), $e\ p\rightarrow e^\prime \ H\ X $, and in inclusive charged di- hadron production, $e^+\ e^-\rightarrow H\ H\ X$, as well as in di-lepton production in Drell Yan scattering, $p\ \bar {p} \rightarrow \ell^+ \ \ell^- \ X$. When the transverse momentum of the reaction $P_{T}$ is on the order of or less than $\Lambda_{\rm qcd}$, that is where $P_T\sim k_T$, where $k_T$ is intrinsic transverse quark momentum, these effects are characterized in term of naive time reversal odd (so called ``$T$-odd'') transverse momentum dependent (TMD) parton distribution and fragmentation functions. At these moderate transverse momentum scales we estimate the size of the $\cos 2\phi$ azimuthal asymmetry in SIDIS, Drell Yan and $e^+\ e^-$ annihilation, within the parton motivated spectator framework. In SIDIS and Drell Yan scattering we consider this so called ``Boer-Mulders'' effect for a future experiments at the upgraded CLAS-12 GeV detector at Jefferson LAB and for proton-proton and anti-proton experiments at RHIC,JPARC, and GSI. In $e^+\ e^-$ annihilation, we consider this asymmetry in terms of the Collins effect for kaons at BELLE.