$N_f = 1+2+1$ QCD+QED simulations with C$^\star$ boundary conditions

TL;DR

This paper reports on ongoing simulations of combined QCD and QED with C-star boundary conditions, focusing on tuning parameters, calculating hadron masses, and analyzing computational costs for different electromagnetic couplings.

Contribution

It presents new fully dynamical QCD+QED configurations with C-star boundary conditions, including tuning strategies and mass calculations at different electromagnetic couplings.

Findings

Successful tuning to the U-symmetric point with specific meson mass splittings.

Calculation of meson and baryon masses in the combined QCD+QED setup.

Cost analysis of simulations at different electromagnetic couplings.

Abstract

We give an update on the ongoing effort of the RC$^\star$ collaboration to generate fully dynamical QCD+QED configurations with C$^\star$ boundary conditions using the openQ$^\star$D code. The simulations are tuned to the U-symmetric point ($m_d=m_s$) with pions at $m_{\pi^\pm}\approx 400$ MeV. The splitting of the light mesons is used as one of three tuning observables and fixed to $m_{K^0} - m_{K^\pm} \approx 5$ MeV and $m_{K^0} - m_{K^\pm} \approx 25$ MeV on ensembles with renormalized electromagnetic coupling $\alpha_\mathrm{R} \approx \alpha_\mathrm{phys.}$ and $\alpha_\mathrm{R}\approx 5.5 \alpha_\mathrm{phys.}$ respectively. We will discuss some details concerning our tuning strategy and present the calculation of the meson and baryon masses. Finally, we will also present a cost analysis for our simulations. More technical details on finite-volume effects and the tuning can be found in A. Cotellucci's proceedings.