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{\center A 12 GeV Research Proposal to Jefferson Lab (PAC 34)}

\vspace*{9mm}
{\center \large\bf Studies of the Boer-Mulders Asymmetry in Kaon  \\}
{\center \large\bf Electroproduction with Hydrogen and Deuterium Targets}
{\center Update of Experiment E12-09-008   (approved by PAC 34)\\}

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{\center \large A CLAS collaboration proposal\\}

\vspace*{12 pt}
{\small $^{\dagger}$ Co-spokesperson}
{\small $^*$ Contact: Harut Avakian, JLab,
Newport News VA 23606. Email: avakian@jlab.org}

\end{titlepage}

\begin{abstract}
We are proposing a comprehensive program 
to study transverse momentum dependence of valence quark transverse  
spin distributions through measurements of spin-azimuthal  asymmetries in 
semi-inclusive electroproduction of kaons using the upgraded JLab 11
GeV polarized electron beam and the 
CLAS12 detector with unpolarized proton and deuteron targets.
The main objective is the study of correlations of the transverse spin of quarks with their
transverse momentum, leading to observable spin and azimuthal asymmetries.
The measurement of the $\cos2\phi$ 
azimuthal moments of the semi-inclusive production of hadrons in DIS with 
 unpolarized  targets, 
in particular, will provide direct information on spin-orbit correlations by measuring 
the leading twist transverse momentum dependent (TMD) 
parton distributions related to the 
interference between states with different orbital momenta. 
Measurements with kaons are complementary
to measurements with pions and will provide additional information on the Collins fragmentation mechanism.
The $x,z,P_T$ and  $Q^2$ dependences of the 
$\cos 2\phi$ moment will be studied to probe the underlying
T-odd distribution and fragmentation functions.
The experiment will use the upgraded
CLAS12 detector, 11 GeV highly polarized electron beam, unpolarized hydrogen and deuteron, 
targets.
Kaon identification in the complete kinematic range will be done by the 
proposed CLAS12-RICH proximity-focusing 
detector. 
The large acceptance of CLAS12 would allow simultaneous detection of the scattered 
electrons and leading hadrons from the hadronization of the struck quark, providing information on
its flavor and transverse momentum.
We request 56 days of running on unpolarized hydrogen and deuterium. 
This measurement will simultaneously run with an already approved  electroproduction experiment. 

\end{abstract}
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\section{Introduction}
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