The resultant parameters of effective theory

Abstract

This is the 4-th paper in the series devoted to a systematic study of the problem of mathematically correct formulation of the rules needed to manage an effective field theory. Here we consider the problem of constructing the full set of essential parameters in the case of the most general effective scattering theory containing no massless particles with spin J > 1/2. We perform the detailed classification of combinations of the Hamiltonian coupling constants and select those which appear in the expressions for renormalized S-matrix elements at a given loop order.

arXiv comment21 pages, 4 LaTeX figures, submitted to Phys. Rev. D

References in corpus (8)

• Redundance of $\Delta$-isobar Parameters in Effective Field Theories
• On the Field Renormalization Constant for Unstable Particles
• OMS-bar scheme of UV renormalization in the presence of unstable fundamental particles
• Tree-level (pi, K)-amplitude and analyticity
• Pion-Nucleon Scattering at Low Energies
• Effective theories with maximal analyticity
• Finite width effects and gauge cancellations in W- and Z-boson production in framework of modified perturbation theory
• Analysis of data on low energy piN-->pipiN reaction. I. Total cross sections

Cited by in corpus (5)

• The Role of the Roper in QCD
• Bootstrap and the physical values of $\pi N$ resonance parameters
• On the S-matrix renormalization in effective theories
• The Equivalence Theorem in Effective Theories
• Complete set of essential parameters of an effective theory