Light quark mass dependence of nucleon mass to two-loop order

2024/06/06 by Chen, Long-Bin, Hu, Siwei, Jia, Yu +1 · 1 citation
#FOS: Physical sciences #High Energy Physics - Lattice (hep-lat) #High Energy Physics - Phenomenology (hep-ph) #Nuclear Theory (nucl-th)

paper · doi:10.48550/arxiv.2406.04124

Abstract

We investigate the nucleon self energy through the sixth chiral order in the covariant SU(2) chiral perturbation theory (χPT) in the single baryon sector. The validity of the extended on-mass-shell (EOMS) renormalization scheme is explicitly verified to two-loop order, manifested by the miraculous cancellation of all nonlocal divergences and power-counting-breaking (PCB) terms that are nonanalytic in pion mass. Using the σ_πN term determined from the latest lattice simulation to constrain some unknown higher-order low energy constants (LECs), we predict the nucleon mass in the chiral limit to be 856.6± 1.7 MeV. It is found that the EOMS scheme exhibits quite satisfactory convergence behavior through \cal O(q⁶) around physical point. We also predict the pion mass dependence of the nucleon mass to the accuracy of \cal O(q⁶), which is in satisfactory agreement with the recent lattice results over a wide range of pion mass.

Cited by

• Two-Loop Extraction of the Pion-Nucleon Sigma Term

Related

• Nucleon mass in covariant baryon chiral perturbation theory at leading two-loop order
• Chiral Representation of the Nucleon Mass at Leading Two-loop Order
• Baryon masses, chiral extrapolations, and all that⋆
• Two-Loop Extraction of the Pion-Nucleon Sigma Term
• Light Quark Masses to All Orders of Chiral Expansion