# Topological susceptibility of QCD with dynamical M\"obius domain wall fermions

## TL;DR

This paper calculates the topological susceptibility in lattice QCD with dynamical M"obius domain wall fermions, confirming chiral perturbation theory predictions and extracting the chiral condensate with high precision.

## Contribution

It presents a novel lattice QCD calculation of topological susceptibility using M"obius domain wall fermions with controlled chiral symmetry violation.

## Key findings

- Chiral condensate determined as (274(13)(29) MeV)^3
- Topological susceptibility at physical point matches theoretical predictions
- Residual chiral symmetry breaking kept below 1 MeV

## Abstract

We compute the topological susceptibility $\chi_t$ of lattice QCD with $2+1$ dynamical quark flavors described by the M\"obius domain wall fermion. Violation of chiral symmetry as measured by the residual mass is kept at $\sim$1 MeV or smaller. We measure the fluctuation of the topological charge density in a `slab' sub-volume of the simulated lattice using the method proposed by Bietenholz {\it et al.} The quark mass dependence of $\chi_t$ is consistent with the prediction of chiral perturbation theory, from which the chiral condensate is extracted as $\Sigma^{\overline{\rm MS}} (\mbox{2GeV}) = [274(13)(29)\mbox{MeV}]^3$, where the first error is statistical and the second one is systematic. Combining the results for the pion mass $M_\pi$ and decay constant $F_\pi$, we obtain $\chi_t = 0.229(03)(13)M_\pi^2F_\pi^2$ at the physical point.