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

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 ${\alpha }_{\mathrm{R}}\approx {\alpha }_{phys.}$ and ${\alpha }_{\mathrm{R}}\approx 5.5{\alpha }_{phys.}$ 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.

RC* collaboration, LATTICE2022, POS, 9 pages, 5 figures. arXiv admin note: text overlap with arXiv:2209.13183