Speaker
Marston Copeland
(Duke University)
Description
We develop a theoretical framework to match Transverse Momentum Dependent (TMD) PDFs onto chiral effective theory operators. A convolution formula is presented between TMD hadronic splitting functions and the high energy matching coefficients, which are identified to be the TMD PDFs of intermediate hadrons in the chiral limit. An operator product expansion is applied to the high energy TMD matching coefficients, allowing them to be written in terms of the collinear valence PDFs of intermediate hadrons. As an example, we calculate the isovector TMD splitting functions for the nucleon at leading order in the chiral expansion and present numerical results.
Author
Marston Copeland
(Duke University)
Co-author
Thomas Mehen
(Duke University)