1+1+1 flavor QCD + QED simulation at the physical point

TL;DR

This study performs a comprehensive 1+1+1 flavor QCD+QED simulation at the physical point, incorporating dynamical quark effects and quark mass differences using reweighting, to accurately determine quark masses and related physical quantities.

Contribution

It introduces a novel simulation approach combining QCD and QED effects at the physical point with reweighting, enabling precise quark mass calculations.

Findings

Quark masses are determined with non-perturbative renormalization.

Physical inputs successfully reproduce observed meson and baryon masses.

Dynamical QED effects are incorporated in lattice simulations.

Abstract

We present the results of 1+1+1 flavor QCD+QED simulation at the physical point, in which the dynamical quark effects in QED and the up-down quark mass difference are incorporated by the reweighting technique. The physical quark masses together with the lattice spacing are determined with $m_{\pi^+}$, $m_{K^+}$, $m_{K^0}$ and $m_{\Omega^-}$ as physical inputs. Calculations are carried out using a set of 2+1 flavor QCD configurations near the physical point generated by the non-perturbatively $O(a)$-improved Wilson quark action and the Iwasaki gauge action at $\beta=1.9$ on a $32^3\times 64$ lattice. We evaluate the values of the up, down and strange quark masses individually with non-perturbative QCD renormalization.