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# 36th Annual International Symposium on Lattice Field Theory

22-28 July 2018
Kellogg Hotel and Conference Center
EST timezone

## Parton Distribution Function Calculation of the Pion on a Fine Lattice

Jul 24, 2018, 4:50 PM
20m
106 (Kellogg Hotel and Conference Center)

### 106

#### Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824

### 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)

 Slides