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Renormalization of relativistic baryon chiral perturbation theory and power counting

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arxiv hep-ph/0302117 v2 pith:OY7OJRM7 submitted 2003-02-14 hep-ph nucl-th

classification hep-phnucl-th
keywords chiralcountingdiagramsperturbationpowerrenormalizationtheorybaryon
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

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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Cited by 8 Pith papers

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