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

Understand

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).