Leading Isospin Breaking effects in nucleon and $\Delta$ masses

Abstract

We present a lattice calculation of the leading corrections to the masses of nucleons and $\Delta$ resonances. These are obtained in QCD+QED at $1$st order in the Isospin Breaking parameters ${\alpha }_{EM}$, the electromagnetic coupling, and $\frac{{\hat{m}}_d-{\hat{m}}_u}{{\Lambda }_{QCD}}$, coming from the mass difference between $u$ and $d$ quarks.

References in corpus (12)

• Ab initio calculation of the neutron-proton mass difference
• Chiral Perturbation Theory and Baryon Properties
• Light Meson Physics from Maximally Twisted Mass Lattice QCD
• Electromagnetic Splittings and Light Quark Masses in Lattice QCD
• Baryon spectrum with $N_f=2+1+1$ twisted mass fermions
• Leading isospin breaking effects on the lattice
• QED in finite volume and finite size scaling effect on electromagnetic properties of hadrons
• The low-lying baryon spectrum with two dynamical twisted mass fermions
• Leading isospin-breaking corrections to pion, kaon and charmed-meson masses with Twisted-Mass fermions
• Finite-Volume Electromagnetic Corrections to the Masses of Mesons, Baryons and Nuclei
• Isospin breaking effects due to the up-down mass difference in Lattice QCD
• Quantum electrodynamics in finite volume and nonrelativistic effective field theories