Baryon masses with C-periodic boundary conditions

TL;DR

This paper introduces a novel method using C-periodic boundary conditions in lattice QCD+QED simulations to accurately measure baryon masses, focusing on the {\

Contribution

It presents the first computation of partially connected contributions to baryon two-point functions under C-periodic boundary conditions.

Findings

Preliminary baryon mass measurements at unphysical pion mass of 400 MeV.

First calculation of additional contributions due to C-periodic boundary conditions.

Potential for improved precision in baryon mass determinations.

Abstract

Isospin-breaking corrections pose a significant challenge to lattice simulations, both because of the splitting between the up and down quark masses and, in particular, the need to include QED effects. The RC* collaboration has developed the openQxD code, based on openQCD, which enables fully dynamical QCD+QED simulations through the implementation of C-periodic boundary conditions. We use this code to measure baryon masses, with a special focus on the {\Omega^-} baryon mass, whose precise determination is especially important since it has been used to set the scale of lattice simulations. Due to the use of C-periodic boundary conditions, the two-point function of the {\Omega^-} baryon gets additional partially connected contributions, which vanish in the infinite-volume limit and which we are computing for the first time. We will present preliminary results for baryon masses obtained on QCD ensembles with C-periodic boundary conditions, at an unphysical pion mass of approximately 400 MeV.