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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 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

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  3. Extraction of the nucleon axial form factor from Lattice QCD using NNLO chiral perturbation theory

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    A global NNLO chiral-perturbation-theory fit with explicit Delta to lattice-QCD axial form factors gives g_A = 1.257 ± 0.011 and r_A² = 0.312 ± 0.037 fm².

  4. $S$-wave $KN$ scattering in a renormalizable chiral effective field theory

    nucl-th 2025-12 unverdicted novelty 6.0 of 10

    A renormalizable covariant chiral EFT calculation of s-wave KN scattering yields a good description of I=1 phase shifts with a negative effective range while the I=0 channel remains weakly constrained.

  5. Extraction of the nucleon axial form factor from Lattice QCD using NNLO chiral perturbation theory

    hep-ph 2026-06 unverdicted novelty 4.0 of 10

    NNLO ChPT with explicit Delta fits lattice data to extract g_A = 1.257 ± 0.011 and axial radius squared 0.312 ± 0.037 fm² at the physical point.

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