Lattice study of the Boer-Mulders transverse momentum distribution in the pion

Understand

The Boer-Mulders transverse momentum-dependent parton distribution (TMD) characterizes polarized quark transverse momentum in an unpolarized hadron.

• Techniques previously developed for lattice calculations of nucleon TMDs are applied to the pion.
• These techniques are based on the evaluation of matrix elements of quark bilocal operators containing a staple-shaped Wilson connection.
• Results for the Boer-Mulders transverse momentum shift in the pion, obtained at a pion mass of $m_{\pi} = 518\, \mbox{MeV} $, are presented and compared to corresponding results in the nucleon.