Renormalization of relativistic baryon chiral perturbation theory and power counting

By T. Fuchs, J. Gegelia, G. Japaridze, S. Scherer. 2003

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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.

Subfields: Nuclear and High Energy Physics

View Paper: https://www.semanticscholar.org/paper/c46296bfc5958f28925c5747eaf9b6a41be5ca60

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In Nuclear and High Energy Physics

1. Rainer Sommer
2. M. Morte
3. A. Vladikas
4. S. Simula
5. S. Gottlieb
6. U. Heller
7. G. Colangelo
8. U. Wenger

Citations in the corpus

• FLAG Review 2019 (2019, methodology): “Martin Camalich 10 [948] 2+1 156 Fit to baryon octet masses using NLO covariant baryon χPT in the EOMS scheme [1142, 1143].”