Infrared renormalization of two-loop integrals and the chiral expansion of the nucleon mass

Abstract

We describe details of the renormalization of two-loop integrals relevant to the calculation of the nucleon mass in the framework of manifestly Lorentz-invariant chiral perturbation theory using infrared renormalization. It is shown that the renormalization can be performed while preserving all relevant symmetries, in particular chiral symmetry, and that renormalized diagrams respect the standard power counting rules. As an application we calculate the chiral expansion of the nucleon mass to order O(q^6).

corrected typos in Eqs. (D6) and (D7), results and conclusions unchanged

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Cited by in corpus (23)

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• Bayesian Methods for Parameter Estimation in Effective Field Theories
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• The pion-nucleon sigma term from lattice QCD
• Chiral Perturbation Theory: Introduction and Recent Results in the One-Nucleon Sector
• On the convergence of the chiral expansion for the baryon ground-state masses
• Nucleon Polarisabilities at and Beyond Physical Pion Masses
• Chiral extrapolation of nucleon wave function normalization constants
• Meson-baryon effective chiral Lagrangians at order $p^4$
• Leading logarithms for the nucleon mass
• Complex-mass renormalization in hadronic EFT: applicability at two-loop order
• Finite volume corrections to the electromagnetic current of the nucleon
• One-loop analysis of the interactions between doubly charmed baryons and Nambu-Goldstone bosons
• Baryon chiral perturbation theory
• Chiral effective field theories of the strong interactions
• Leading chiral logarithms for the nucleon mass
• Leading logarithms for mesons and nucleons
• Pion Photo- and Electroproduction and the Chiral MAID Interface
• Chiral perturbation theory
• Pion photo- and electroproduction and the chiral MAID interface
• Calculation of the axial-vector coupling constant $g_A$ to two loops in covariant chiral perturbation theory