# The 39th International Symposium on Lattice Field Theory (Lattice 2022)

Aug 8 – 13, 2022
Hörsaalzentrum Poppelsdorf
Europe/Berlin timezone

## A determination of the gradient flow scale on $N_f=2+1$ CLS ensembles

Aug 9, 2022, 4:30 PM
20m
CP1-HSZ/Ground-0.010 - HS2 (CP1-HSZ)

### CP1-HSZ/Ground-0.010 - HS2

#### CP1-HSZ

450
Oral Presentation Hadron Spectroscopy and Interactions

### Speaker

Dr Sara Collins (University of Regensburg)

### Description

We determine the gradient flow scale $t_0$ at the physical point with an overall uncertainty of around $0.5\%$ using the $\Xi$ baryon mass as input. We utilise 47 CLS ensembles generated with $N_f=2+1$ non-perturbatively $O(a)$ improved Wilson dynamical fermions comprising six lattice spacings in the range $a=0.04-0.1$ fm, spatial volumes with $LM_\pi>4$ and pion masses ranging from around 420 MeV down to the physical point. Combined quark mass, continuum limit, and finite volume fits are performed to the baryon octet masses along three trajectories in the quark mass plane, which tightly constrains the mass of the $\Xi$ baryon at the physical point. The strange and light quark sigma terms are determined for all octet baryons from the dependence of the baryon masses on the renormalized quark masses.

### Primary author

Dr Sara Collins (University of Regensburg)

### Co-authors

Gunnar Bali Wolfgang Soeldner (University of Regensburg)