Chiral expansion of the nucleon mass to order q^6

Abstract

We present the results of a complete two-loop calculation at order q^6 of the nucleon mass in manifestly Lorentz-invariant chiral perturbation theory. The renormalization is performed using the reformulated infrared renormalization, which allows for the treatment of two-loop integrals while preserving all relevant symmetries, in particular chiral symmetry.

6 pages, 2 figures, REVTeX4

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• The pion-nucleon sigma term from lattice QCD
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• Masses of doubly charmed baryons in the extended on-mass-shell renormalization scheme
• Infrared renormalization of two-loop integrals and the chiral expansion of the nucleon mass
• Nucleon Sigma Terms with $N_f=2+1$ O($a$)-improved Wilson fermions
• Power Counting Regime of Chiral Effective Field Theory and Beyond
• Pion photoproduction off nucleons in covariant chiral perturbation theory
• $\Delta (1232)$ resonance in the $\vec{\gamma }p\to p{\pi }^0$ reaction at threshold
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Dependence of nucleon properties on pseudoscalar meson masses
• One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons
• Baryon chiral perturbation theory
• Chiral Analysis of the Nucleon Mass and Sigma Commutator
• Chiral effective field theories of the strong interactions
• Recent developments in effective field theory
• Leading logarithms for mesons and nucleons
• Towards selecting a finite-range regularization scale
• Recent Progress in Effective Field Theory in the One-Nucleon Sector
• Threshold Neutral Pion Photoproduction on the Proton
• Effective Field Theory of the Single-Nucleon Sector
• Ph.D. Thesis: Chiral Effective Field Theory Beyond the Power-Counting Regime