Renormalization of relativistic baryon chiral perturbation theory and power counting

Details Renormalization of relativistic baryon chiral perturbation theory and power counting Renormalization of relativistic baryon chiral perturbation theory and power counting

2003-02-14

arxiv.org/abs/hep-ph/0302117v2

Phys.Rev.D68:056005,2003

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages, RevTex, 1 figure, published version is shortened

Scientific paper

10.1103/PhysRevD.68.056005

We discuss a renormalization scheme for relativistic baryon chiral perturbation theory which provides a simple and consistent power counting for renormalized diagrams. The method involves finite subtractions of dimensionally regularized diagrams beyond the standard $\bar{\rm MS}$ scheme of chiral perturbation theory to remove contributions violating the power counting. This is achieved by a suitable renormalization of the parameters of the most general effective Lagrangian. In addition to simplicity our method has the benefit that it can be easily applied to multiloop diagrams. As an application we discuss the mass and the scalar form factor of the nucleon and compare the results with the expressions of the infrared regularization of Becher and Leutwyler.

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