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

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arxiv 0707.4296 v3 pith:L3R56QS7 submitted 2007-07-30 hep-ph

classification hep-ph
keywords chiralrenormalizationmassnucleonexpansioninfraredintegralsrelevant
verification ladder T0 review T1 audit T2 compute T3 formal

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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).

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  1. Calculation of the axial-vector coupling constant $g_A$ to two loops in covariant chiral perturbation theory

    hep-ph 2025-05 conditional novelty 6.0 of 10

    The complete order-M^4 two-loop corrections to g_A are derived in EOMS and infrared covariant baryon chiral perturbation theory and evaluated with scattering-derived low-energy constants.

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