Speaker
Charles Shugert
(Stony Brook University and Brookhaven National Lab)
Description
We present numerical results on the bare quasi-PDF matric element for the pion. Our
pion mass is $300$ MeV using a HISQ sea and Wilson-Clover valence quarks. Our
lattice spacing and volume are $0.061$ fm and $48^{3} \times 64$ respectivly. Large
momentum calculations being necessary for reliable matching between the quasi-PDF
and the light-cone PDF using LaMET, we evaluate our matrix elements for a pion
with momentum $1.69(2.11)$ GeV, or $4(5)$ units on the lattice. Large momentum
calculations on the lattice are notoriously contaminated with unwanted excited
state contributions overlapping to our measurement. As such we also present a
detailed study of pion two-point functions at large momentum, tuned using a
multitude of smearing techniques to reduce the overlap of our operators to excited
states. Furthermore we HYP-smear the Wilson Line of our quasi-PDF matrix element to
study the reduction of lattice artifacts in our calculation. Ioffe-Time distribution
functions were also computed as an exploratory study.
Primary author
Charles Shugert
(Stony Brook University and Brookhaven National Lab)