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

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

2007-07-30

arxiv.org/abs/0707.4296v2

Nucl.Phys.A803:68-114,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

Version accepted for publication in Nucl. Phys. A, missing one-loop diagram added, minor changes in notation, discussion of re

Scientific paper

10.1016/j.nuclphysa.2008.01.023

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).

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