6533b7defe1ef96bd1275e87

RESEARCH PRODUCT

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

Matthias R. SchindlerJambul GegeliaJambul GegeliaDalibor DjukanovicStefan Scherer

subject

Coupling constantPhysicsChiral anomalyNuclear and High Energy PhysicsChiral perturbation theoryHigh Energy Physics::LatticeFOS: Physical sciencesRenormalizationHigh Energy Physics - PhenomenologyHigh Energy Physics - Phenomenology (hep-ph)Regularization (physics)Quantum electrodynamicsHomogeneous spaceFunctional renormalization groupNucleonMathematical physics

description

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).

https://dx.doi.org/10.48550/arxiv.0707.4296