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Massive Two-Loop Heavy Particle Diagrams
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We determine the master integrals for vertex and propagator diagrams that appear in effective field theories containing heavy fields. The integrals involve at least one heavy line, and the standard lines include an arbitrary mass scale. The evaluation is done analytically with modern techniques. We employ the methods of differential equations and dimensional recurrence relations to evaluate said integrals up to two-loop order.
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Calculation of the axial-vector coupling constant $g_A$ to two loops in covariant chiral perturbation theory
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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