# 36th Annual International Symposium on Lattice Field Theory

Jul 22 – 28, 2018
Kellogg Hotel and Conference Center
EST timezone

## Nucleon-pion-state contamination in the lattice determination of the axial form factors of the nucleon

Jul 25, 2018, 2:00 PM
20m
105 (Kellogg Hotel and Conference Center)

### 105

#### Kellogg Hotel and Conference Center

219 S Harrison Rd, East Lansing, MI 48824

### Speaker

Dr Oliver Baer (Humboldt University Berlin)

### Description

The nucleon-pion-state ($N\pi$) contribution to QCD two- and three-point functions used in the calculation of the axial form factors of the nucleon are studied in chiral perturbation theory. For physical quark masses the $N\pi$ states are expected to dominate the excited-state contamination at large euclidean time separations. To leading order in chiral perturbation theory the results depend on two experimentally well-known low-energy constants only and the $N\pi$-state contamination can be reliably estimated. In the axial form factor $G_A(Q^2)$ it amounts to a 5 percent overestimation for source-sink separations of about 2 fm and shows essentially no dependence on the momentum transfer $Q^2$. In contrast, for the induced pseudo-scalar form factor $G_P(Q^2)$ the $N\pi$-state contamination shows a much stronger dependence on $Q^2$ and leads to a 20-40 percent underestimation of $G_P(Q^2)$ at small momentum transfers.

### Primary author

Dr Oliver Baer (Humboldt University Berlin)

### Presentation materials

 lattice2018_obaer.key lattice2018_obaer.pdf